Royce has a collection of trading cards. 16 of his cards are baseball cards, 21 are football cards and 13 are basketball cards. He chooses half of this collection and gives them to his friend. Which of the following represent possible outcomes of this selection?

Answers

Answer 1

If 16 of his cards are baseball cards, 21 are football cards and 13 are basketball cards, the possible outcome is (10, 10, 5). So, correct option is B.

One possible method to approach this problem is to first find the total number of trading cards Royce has in his collection, which is the sum of baseball cards, football cards, and basketball cards:

Total number of cards = 16 + 21 + 13 = 50

Then, we can find half of the total number of cards, which is the number of cards Royce gives to his friend:

Half of total number of cards = 1/2 x 50 = 25

To find possible outcomes of this selection, we can start by considering how many baseball cards Royce can give to his friend. Since he has 16 baseball cards in total, he can give any number of them from 0 to 16, but he cannot give more than 25 cards in total.

Similarly, he can give any number of football cards from 0 to 21 and any number of basketball cards from 0 to 13.

Therefore, possible outcomes of this selection can be represented by the set of triples (x, y, z) where x is the number of baseball cards, y is the number of football cards, and z is the number of basketball cards, such that x + y + z = 25 and 0 ≤ x ≤ 16, 0 ≤ y ≤ 21, and 0 ≤ z ≤ 13.

The possible outcome is (10, 10, 5), which means Royce gives 10 baseball cards, 10 football cards, and 5 basketball cards to his friend.

So, correct option is B.

To learn more about outcomes click on,

https://brainly.com/question/2495224

#SPJ1

Complete question is:

Royce has a collection of trading cards. 16 of his cards are baseball cards, 21 are football cards and 13 are basketball cards. He chooses half of this collection and gives them to his friend. Which of the following represent possible outcomes of this selection?

A) (10.20,20)

B) (10, 10, 5)

C) (20, 10, 5)

D) (10, 10, 25)


Related Questions

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is greater than 1". Let B be the event "the outcome is greater than or equal to 2". Find P(A or B). Outcome Probability 1 0. 33 2 0. 19 3 0. 13 4 0. 31 5 0. 04 ​

Answers

The probability of event A or B occurring i.e.,  P(A or B) is 0.67.

Given the table of outcomes and their probabilities, you need to find P(A or B), where A is the event "the outcome is greater than 1" and B is the event "the outcome is greater than or equal to 2".

1: Identify the outcomes that satisfy A or B.

A: Outcomes greater than 1: {2, 3, 4, 5}

B: Outcomes greater than or equal to 2: {2, 3, 4, 5}

A or B: Outcomes greater than 1 or greater than or equal to 2: {2, 3, 4, 5}

2: Calculate the probability of each outcome in the combined set A or B.

Outcome 2: Probability 0.19

Outcome 3: Probability 0.13

Outcome 4: Probability 0.31

Outcome 5: Probability 0.04

3: Add up the probabilities of each outcome in the combined set A or B.

P(A or B) = P(2) + P(3) + P(4) + P(5)

P(A or B) = 0.19 + 0.13 + 0.31 + 0.04

P(A or B) = 0.67

Therefore, the probability of event A or B occurring, where A is "the outcome is greater than 1" and B is "the outcome is greater than or equal to 2", is 0.67.

Learn more about Probability:

https://brainly.com/question/25839839

#SPJ11

find the area of each polygon below b=6 h=9 ft h =10cm b = 8 h=8m b=9m

Answers

To find the area of a polygon, we need to know the length of its base and its height. Once we have these measurements, we can use the formula:

Area = (1/2) x Base x Height

where "Base" refers to the length of the base of the polygon, and "Height" refers to the length of a perpendicular line drawn from the base to the opposite vertex.

Using this formula, we can find the areas of the polygons with the given measurements:

For the first polygon with base b=6 ft and height h=9 ft, we have:

Area = (1/2) x 6 ft x 9 ft = 27 ft^2

For the second polygon with base b=10 cm and height h=8 m, we need to convert the height to centimeters to keep the units consistent:

Height = 8 m x 100 cm/m = 800 cm

Then, we can calculate the area as:

Area = (1/2) x 10 cm x 800 cm = 4000 cm^2

For the third polygon with base b=8 m and height h=8 m, we have:

Area = (1/2) x 8 m x 8 m = 32 m^2

For the fourth polygon with base b=9 m and height h=5 m, we have:

Area = (1/2) x 9 m x 5 m = 22.5 m^2

Therefore, the areas of the polygons are:

- 27 ft^2
- 4000 cm^2
- 32 m^2
- 22.5 m^2

HELP!!!



What is the unit rate of this graph?

BLUE: 200 beats/minute
TEAL: 75 beats/minute
YELLOW: 100 beats/minute
RED: 150 beats/minute

Answers

75 beats/minute is the answer

Clara's class is preparing for a field trip. Her teacher purchased bottled water for the trip and asked Clara to stock a cooler with 2 bottles for every student who is going. 5 of the students didn't turn in permission slips and aren't going on the trip. So, Clara stocks the cooler with 38 bottles of water.

Which equation can you use to find the total number of students, n, in Clara's class?

Answers

The equation that can be used to find the total number of students would be n = 19 + 5.

How to find the equation ?

It is acknowledged that Clara provided 2 bottles per each pupil joining her on the excursion. Denote, by using ‘x’, the quantity of learners present; we can then inscribe the succeeding formula:

2x = 38

By resolving this mathematical principal, the total number of students attending the event is revealed.

x = 38 / 2

x = 19

Currently, 19 individuals are confirmed to embark upon the outing, due to five individuals failing to furnish required consent forms and will be absent. Subsequently, we may deduce the quantity of pupils (designated as ‘n’) in Clara’s class:

n = 19  (students going on the trip ) + 5 ( students not going )

n = 19 + 5

Find out more on equations at https://brainly.com/question/25976025

#SPJ1

Which amount should be entered for the balance after the atm withdrawal on 6/2/18?a) $1346.42b) $1456.42c) $1536.42d) $1756.42

Answers

Unfortunately, there is no way to answer this question without more information.

We would need to know the amount of the ATM withdrawal, as well as the starting balance before the withdrawal, in order to calculate the ending balance.

For example, if the starting balance was $1500 and the withdrawal was for $50, the ending balance would be $1450.

However, if the starting balance was $1300 and the withdrawal was for $50, the ending balance would be $1250.

Without this information, we cannot determine the correct answer.

To know more about balance refer here

https://brainly.com/question/37441951#

#SPJ11

The amount of money required to support a band field trip is directly proportional to the number of members attending the field trip and inversely


proportional with the fundraising money each member raised. If 100 members attend the field trip and each member raised $15. 00 through fundraising, the


field trip would cost $2,000. How much would the field trip cost if 150 members attend and each member raises the same amount through fundraising?

Answers

Cost of field trip remains $2,000 with 150 members

Field trip cost with 150 members?

We can set up a proportion to solve for the cost trip with 150 members attending:

Let x be the cost of the field trip for 150 members attending.

The amount of money required is directly proportional to the number of members attending, so we can write:

[tex]100 : 150 = 2000 : x[/tex]

The amount of money required is also inversely proportional to the fundraising money each member raised. Each member raised $15.00 through fundraising, so we can write:

[tex]15 : 15 = x : 2000[/tex]

Simplifying the second proportion, we have:

[tex]1 : 1 = x/2000[/tex]

Multiplying both sides by 2000, we get:

[tex]x = 2000[/tex]

Therefore, the cost of the field trip with 150 members attending and each member raising $15.00 through fundraising would also be $2,000.

Learn more about  cost trip

brainly.com/question/18249048

#SPJ11

to
Mrs. James, a sixth grade teacher, recorded how many minutes
each student reported reading over winter break.
Time spent reading (min.)
0
H
200.
What was the upper quartile of the time spent reading?
minutes
Submit
100
H
300.
400
+
500

Answers

The upper quartile of the time spent reading is 300.

We have,

The upper quartile, also known as the third quartile, is a measure of central tendency that divides a data set into four equal parts.

It represents the data point that separates the top 25% of the data from the bottom 75%.

Now,

From the box pot.

Median = 250

Lower quartile = 100

Upper quartile = 300

Thus,

The upper quartile is 300.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ1

Let X be the number of screws delivered to a box by an automatic filling device.

Assume = 1000 and

2 = 25. There are problems with too many screws going

into the box or too few screws going into the box.

a. How many units to the right of is 1009? (5 marks)

b. What X value is 2. 6 units to the left of ? (4 marks​

Answers

There are approximately 0.1480 standard deviations (or 3.7 screws) to the right of the mean when there are 1009 screws in the box.  When the automatic filling device delivers 1065 screws to the box, there are approximately 2.6 standard deviations (or 65 screws) to the left of the mean.

To answer this question, we need to use the normal distribution formula.


a. To find how many units to the right of 1000 is 1009, we need to calculate the z-score:

z = (X - μ) / σ

where X = 1009, μ = 1000, and σ = 25.

z = (1009 - 1000) / 25 = 0.36

Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score of 0.36 or higher is 0.3520.

To convert this probability to units to the right of the mean, we subtract it from 0.5 (which represents the area to the left of the mean):

units to the right = 0.5 - 0.3520 = 0.1480

Therefore, there are approximately 0.1480 standard deviations (or 3.7 screws) to the right of the mean when there are 1009 screws in the box.

b. To find the X value that is 2.6 units to the left of the mean, we can rearrange the formula:

X = μ - zσ

where z = -2.6 (since we want units to the left of the mean) and μ and σ are the same as before.

X = 1000 - (-2.6) * 25 = 1065

Therefore, when the automatic filling device delivers 1065 screws to the box, there are approximately 2.6 standard deviations (or 65 screws) to the left of the mean.

To know more about standard deviations refer here:

https://brainly.com/question/23907081

#SPJ11

On a coordinate plane, a line segment has endpoints P(6,2) and Q(3. 8). 9. Point M lies on PQ and divides the segment so that the ratio of PM-MQ is 2-3. What are the coordinates of point M?​

Answers

The coordinates of point M are:

Coordinates of M = (4.5 + sqrt(34)/5, 5)
Coordinates of M = (5.86, 5)

To find the coordinates of point M, we first need to find the coordinates of the midpoint of segment PQ.

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is ((x1 + x2)/2, (y1 + y2)/2).

Using this formula, we can find the midpoint of PQ as follows:

Midpoint = ((6 + 3)/2, (2 + 8)/2)
Midpoint = (4.5, 5)

Now we can use the fact that PM/MQ = 2/3 to find the coordinates of point M.

Let's start by finding the distance between P and the midpoint:

Distance between P and midpoint = sqrt((4.5 - 6)^2 + (5 - 2)^2)
Distance between P and midpoint = sqrt(4.25)

Since PM/MQ = 2/3, we know that PM is 2/5 of the total distance between P and Q, and MQ is 3/5 of the total distance.

Let's call the total distance between P and Q "d". Then we have:

PM = (2/5)d
MQ = (3/5)d

We can use these expressions to find the distance between M and the midpoint:

Distance between M and midpoint = PM - MQ
Distance between M and midpoint = (2/5)d - (3/5)d
Distance between M and midpoint = -(1/5)d

Finally, we can use the distance formula to find the coordinates of point M:

Coordinates of M = (4.5, 5) + (Distance between M and midpoint in the x direction, Distance between M and midpoint in the y direction)

In other words, the x-coordinate of M is 4.5 plus the distance between M and the midpoint in the x direction, and the y-coordinate of M is 5 plus the distance between M and the midpoint in the y direction.

We already know that the distance between M and the midpoint in the y direction is 0 (since M lies on the same horizontal line as the midpoint), so we only need to find the distance between M and the midpoint in the x direction:

Distance between M and midpoint in the x direction = sqrt((1/5)d^2)

Since d is just the distance between P and Q, we can find it using the distance formula:

d = sqrt((6 - 3)^2 + (2 - 8)^2)
d = sqrt(34)

So we have:

Distance between M and midpoint in the x direction = sqrt((1/5)(sqrt(34))^2)
Distance between M and midpoint in the x direction = sqrt(34)/5

To know more about coordinates refer to

https://brainly.com/question/17206319

#SPJ11

Which expressions are equivalent to 6\cdot6\cdot6\cdot6\cdot66⋅6⋅6⋅6⋅66, dot, 6, dot, 6, dot, 6, dot, 6 ?

Answers

The expressions equivalent to 6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 are 1296\cdot396\cdot2376 and 839808\cdot36.

Find out which expression is equivalent to the given expressions?

We can use the associative property of multiplication to group the factors in different ways while preserving their product. For example, we can group the first four 6's together and then multiply by the remaining 6 and 66:

6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 = (6\cdot6\cdot6\cdot6)\cdot(6\cdot66)\cdot(6\cdot6\cdot66)

= 1296\cdot396\cdot2376

Alternatively, we can group the last two 6's together and then multiply by the remaining factors:

6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 = (6\cdot6\cdot6\cdot6\cdot66)\cdot(6\cdot6)

= 839808\cdot36 is the equivalent expression.

Learn more about Equivalent

https://brainly.com/question/14323743

#SPJ11

1. In a nation centre, the administrative fee is RM30 per student. The tuition fee is RM45 per subject for language subjects and RM40 per subject for other subjects.

(a) Express the total payment. J. for a student who registers for m language subjects and n other subjects.

(b) Zaleha registers for 3 language subjects and 2 other subjects. How much does she have to pay?

(c) Chan pays RM280 when she registers for 2 language subjects and p other subjects. Find the value of p.
2. The diagram shows a right pyramid with a square base.

(a) Form a formula by using the surface area of the pyramid, L,as the subject of the formula.

(b) Calculate the surface area of the pyramid if a 10 and b = 12.

(c) If L=192 and a=b, find the value of a​

Answers

Answer:

Step-by-step explanation:

(a) The total payment for a student who registers for m language subjects and n other subjects can be expressed as:

Total payment = Administrative fee + Tuition fee for language subjects + Tuition fee for other subjects

Total payment = RM30 + RM45m + RM40n

Total payment = RM30 + 45m + 40n

(b) For Zaleha who registers for 3 language subjects and 2 other subjects, the total payment can be calculated as:

Total payment = RM30 + (3 x RM45) + (2 x RM40)

Total payment = RM30 + RM135 + RM80

Total payment = RM245

(c) Chan pays RM280 when she registers for 2 language subjects and p other subjects. We can use the formula derived in part (a) to find the value of p:

Total payment = RM30 + (2 x RM45) + (p x RM40)

RM280 = RM30 + RM90 + RM40p

RM280 - RM120 = RM40p

RM160 = RM40p

p = 4

Therefore, Chan registers for 2 language subjects and 4 other subjects.

(a) The surface area of a right pyramid with a square base can be calculated as:

L = base area + 1/2 x perimeter of base x slant height

The base of the pyramid is a square, so its area can be expressed as:

Base area = a^2

The perimeter of the base can be calculated as:

Perimeter of base = 4a

The slant height can be calculated using the Pythagorean theorem:

slant height = sqrt(h^2 + (a/2)^2)

where h is the height of the pyramid.

Substituting these values in the surface area formula, we get:

L = a^2 + 1/2 x 4a x sqrt(h^2 + (a/2)^2)

L = a^2 + 2a x sqrt(h^2 + (a/2)^2)

(b) If a = 10 and b = 12, then the surface area of the pyramid can be calculated as:

L = 10^2 + 2 x 10 x sqrt(h^2 + (10/2)^2)

L = 100 + 20sqrt(h^2 + 25)

Given that L = 192, we can solve for h:

192 - 100 = 20sqrt(h^2 + 25)

92 = 20sqrt(h^2 + 25)

4.6 = sqrt(h^2 + 25)

4.6^2 - 25 = h^2

h^2 = 2.76

h = sqrt(2.76)

h ≈ 1.66

Substituting these values in the surface area formula, we get:

L = 10^2 + 2 x 10 x sqrt(1.66^2 + (10/2)^2)

L ≈ 314.9

Therefore, the surface area of the pyramid is approximately 314.9 square units.

(c) If L = 192 and a = b, then the surface area formula can be simplified as:

L = a^2 + 2a x sqrt(h^2 + (a/2)^2)

192 = a^2 + 2a x sqrt(h^2 + (a/2)^2)

We also know that the height of the pyramid is equal to the side length of the triangular faces. Since the pyramid is a right pyramid, the height and slant height are related by the Pythagorean theorem:

h^2 + (a/2)^

Nate jumped 26 inches. Maria jumped 32 inches.


How much farther did Maria jump than Nate?


Drag numbers and symbols to the lines. Write an equation to represent the problem. Use for the unknown.


26


32
.


+

Answers

Maria jumped 6 inches farther than Nate.

To see why, we can subtract Nate's jump height from Maria's jump height:

32 - 26 = 6

So Maria jumped 6 inches farther than Nate did.

To represent this problem mathematically, we can use the equation:

Maria's jump height - Nate's jump height = the difference in their jump heights

Or, using variables:

M - N = D

Where M represents Maria's jump height, N represents Nate's jump height, and D represents the difference between their jump heights. Plugging in the numbers from the problem, we get:

32 - 26 = D

Simplifying, we get:

6 = D

So D, the difference between their jump heights, is 6 inches.

To know more about jump height, refer to the link below:

https://brainly.com/question/29155594#

#SPJ11

Dominic and his parents plan to share the cost of his college education. The annual



tuition cost for the college he wants to attend is $7,260 per year. His parents will pay 80%



of the annual tuition. He has one year to save his portion of the first year's tuition. What is



the minimum monthly amount he needs to save?

Answers

Dominic will need to save a minimum of $121 per month to pay for his portion of the first year's tuition.

Dominic's parents will pay 80% of the annual tuition cost, which is:

0.8 x $7,260 = $5,808

So, Dominic will need to pay the remaining 20% of the tuition cost, which is:

0.2 x $7,260 = $1,452

Since Dominic has one year to save his portion of the tuition, he will need to save:

$1,452 / 12 months = $121 per month

Therefore, Dominic will need to save a minimum of $121 per month to pay for his portion of the first year's tuition.

To know more about cost , refer here:

https://brainly.com/question/30045916#

#SPJ11

Each letter in these following problems will be transformed into a number based on their number in the alphabet. Solve these following problems based on this information.

1) n + e
2) t-j
3) d x e
4) p/b

Answers

The solution to the problems are given below:

n + e = 14 + 5 = 19t - j = 20 - 10 = 10d x e = 4 x 5 = 20p / b = 16 / 2 = 8

How to solve

Giving each of the letters numbers based on their numerical position on the English alphabet, we can solve below:

n (14) + e (5) = 14 + 5 = 19

t (20) - j (10) = 20 - 10 = 10

d (4) x e (5) = 4 x 5 = 20

p (16) / b (2) = 16 / 2 = 8

It can be seen that with the letter e for example is the 5th letter of the alphabet and the value is used to compute the addition of the problem.


Read more about addition here:

https://brainly.com/question/778086

#SPJ1

Chris works at a book story she earn $7. 50 per h hour plus a $2 bonus for each book she sells chris sood 15 books she want to earn the minimum of $300 which Inequality represents the situation in what quantities are true for h

Answers

Chris must work at least 36 hours to earn a minimum of $300, assuming she sells 15 books and earns the $2 bonus for each book sold.

The inequality that represents the situation is: 7.50h + 2(15) ≥ 300 where "h" represents the number of hours Chris works, and "2(15)" represents the bonus earned for selling 15 books.

The left-hand side of the inequality calculates Chris's total earnings, which is the product of her hourly wage of $7.50 and the number of hours worked, plus the bonus earned for selling 15 books.

The inequality states that the total earnings must be greater than or equal to $300, which is the minimum amount Chris wants to earn. To solve the inequality, we can simplify it by first multiplying 2 and 15 to get 30: 7.50h + 30 ≥ 300

We can isolate "h" by subtracting 30 from both sides: 7.50h ≥ 270. we can solve for "h" by dividing both sides by 7.50: h ≥ 36.

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ4

solve the equation |4x +9|=|6-5x|​

Answers

|4x +9|=|6-5x|

4x+5x=6-9

9x=-3

x=-3/9

x=-1/3

Answer:

x = 15

x = - ⅓

Step-by-step explanation:

|4x+9| = |6-5x|

4x+9=6-5x or 4x+9=-6+5x

Lets do the first one first

4x+9=6-5x

9x=-3

x= -3/9 = -1/3

4x+9=-6+5x

15=x

So the two solutions are x = 15 and x = -⅓

What kind of triangle has angles that measure 47, 70, and 63 degrees

Answers

Answer:

Acute triangle

Step-by-step explanation:

angles that are less than 90° are called acute

This triangle has 3 acute angles, so it is an acute triangle

For which values of k would be the pruduct of k/3x12 be greater than 12

Answers

The product (k/3) x 12 is greater than 12 for values of k greater than 3.

To determine the values of k for which the product (k/3) x 12 is greater than 12, follow these steps:

Step 1: Set up the inequality:
(k/3) x 12 > 12

Step 2: Simplify the inequality by dividing both sides by 12:
(k/3) > 1

Step 3: Multiply both sides by 3 to solve for k:
k > 3

So, the product (k/3) x 12 is greater than 12 for values of k greater than 3.

Learn more about inequality,

https://brainly.com/question/25944814

#SPJ11

Now that you learned how to calculate the probabilities of each player winning the "maximum game" in the video, let's look at the probabilities of another game. this is how it works: we roll two dice and calculate the multiplication of the two numbers we rolled. --if it is a multiple of 6, i win --if it is not a multiple of 6, you win. here is an example: if you get 3 and 4, the multiplication is 12. twelve is a multiple of 6, so i win! 1. which player would win if you get 2 and 5 in the dice? me or you? 2. which player would win if you get 4 and 2 in the dice? 3. which player would win if you get 1 and 6 in the dice?

Answers

1) If you get 2 and 5, the multiplication is 10, which is not a multiple of 6. so, you would win.

2) If you get 4 and 2, the multiplication is 8, which is not a multiple of 6. so, you would win.

3) If you get 1 and 6, the multiplication is 6, which is a multiple of 6. so, I would win.

1) How to find  the probability?

The question asks about probability  which player would win if the numbers rolled are 2 and 5. To answer this, we calculate the product of 2 and 5, which is 10. Since 10 is not a multiple of 6, the person who did not roll the dice (i.e., "you") would win.

2) How to find  the probability?

The question asks which player would win if the numbers rolled are 4 and 2. We calculate the product of 4 and 2, which is 8. Since 8 is not a multiple of 6, "you" would win again.

3) How to find  the probability?

The question asks which player would win if the numbers rolled are 1 and 6. We calculate the product of 1 and 6, which is 6. Since 6 is a multiple of 6, the person who rolled the dice (i.e., "me") would win.The game described in the question involves rolling two dice and calculating the multiplication of the two numbers rolled. The outcome of the game depends on whether the product is a multiple of 6 or not.

The solution also provides a general explanation of how to calculate the probability of rolling a multiple of 6 with two dice. To do this, we count the number of ways to roll each multiple of 6 (there are two ways to roll a 6, one way to roll a 12, and no ways to roll an 18) and divide by the total number of possible outcomes (which is 36, since there are 6 possible outcomes for each die and 6*6=36 possible combinations of two dice). This gives us a probability of 1/12, or approximately 0.0833, for rolling a multiple of 6. We can then calculate the probability of not rolling a multiple of 6 by subtracting this probability from 1, which gives us 11/12, or approximately 0.9167.

Learn more about probability

brainly.com/question/11234923

#SPJ11

5 points


You need to change a blown outdoor lightbulb on your house. The bulb is 5m up, but you have a 1m reach when you are on the top rung of the ladder. If you need 3m of


space off the house for the ladder's base for stability, what is the minimum height of the ladder in meters?

Answers

The minimum height of the ladder needed to change the blown outdoor lightbulb is 5 meters.

To determine the minimum height of the ladder needed to change a blown outdoor lightbulb that is 5m up, we need to consider the following terms:

1. The bulb's height (5m)


2. Your reach when on the top rung of the ladder (1m)


3. The required space off the house for the ladder's base for stability (3m)

First, subtract your reach from the bulb's height: 5m - 1m = 4m. This means the ladder needs to reach at least 4 meters up the wall.

Next, we need to use the Pythagorean theorem to find the ladder's minimum height. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the ladder) is equal to the sum of the squares of the lengths of the other two sides (the distance from the house and the height up the wall).

Let's denote the ladder's height as L, the distance from the house as A (3m), and the height up the wall as B (4m).

According to the Pythagorean theorem, we have:
L² = A² + B²

Substitute the values for A and B:
L² = (3m)² + (4m)²
L² = 9m² + 16m²
L² = 25m²

Now, find the square root to get the minimum height of the ladder:
L = √25m²
L = 5m

So, the minimum height of the ladder needed to change the blown outdoor lightbulb is 5 meters.

To know more about minimum height refer here:

https://brainly.com/question/15240079

#SPJ11

2. Rectangle WXYZ with vertices W(-3,-4), X(0,-5), Y(-2,-11),


and Z(-5, -10); 180° rotation about N(2,-3)

Answers

The rectangle WXYZ after a 180° rotation about the point N(2,-3) is W(3,-2), X(0,-1), Y(2,5), and Z(5,4).

To perform a 180° rotation about the point N(2,-3), we can follow these steps:

1. Translate the rectangle and the point N to the origin by subtracting their respective coordinates from each vertex and point.

2. Perform the rotation by multiplying the coordinates of each vertex and point by the 2x2 rotation matrix:

  [cos(180°) -sin(180°)]

  [sin(180°) cos(180°)]

  which simplifies to:

  [-1  0]

  [ 0 -1]

3. Translate the rectangle and the point N back to their original positions by adding their respective coordinates to each vertex and point.

Let's apply these steps to rectangle WXYZ and point N:

1. Translate the rectangle and point N to the origin:

W' = (-3 - 2, -4 + 3) = (-5, -1)

X' = (0 - 2, -5 + 3) = (-2, -2)

Y' = (-2 - 2, -11 + 3) = (-4, -8)

Z' = (-5 - 2, -10 + 3) = (-7, -7)

N' = (2 - 2, -3 + 3) = (0, 0)

2. Perform the rotation using the matrix:

  [-1  0]

  [ 0 -1]

W'' = [-1  0] * [-5, -1] = [5, 1]

     [0 -1]

X'' = [-1  0] * [-2, -2] = [2, 2]

     [0 -1]

Y'' = [-1  0] * [-4, -8] = [4, 8]

     [0 -1]

Z'' = [-1  0] * [-7, -7] = [7, 7]

     [0 -1]

N'' = [-1  0] * [0, 0] = [0, 0]

     [0 -1]

3. Translate the rectangle and point N back to their original positions:

W = [5 - 2, 1 - 3] = (3, -2)

X = [2 - 2, 2 - 3] = (0, -1)

Y = [4 - 2, 8 - 3] = (2, 5)

Z = [7 - 2, 7 - 3] = (5, 4)

N = [0 + 2, 0 + 3] = (2, 3)

Therefore, the rectangle WXYZ after a 180° rotation about the point N(2,-3) is W(3,-2), X(0,-1), Y(2,5), and Z(5,4).

Learn more about "rectangle": https://brainly.com/question/25292087

#SPJ11

PLEASE HELP MEH



A 1,700-foot support wire is attached to


the top of an 800-foot radio tower.


1,700 ft


800 ft


А


B


A scale drawing of the tower and wire is


drawn using the scale 1 inch: 250 feet.


On the scale drawing, what is the length,


in inches, of AB? (8. 1B, 8. 1F)


F


15 in.


Make sure to


use the scale.


G 7. 5 in.


H


6 in.


J 18 in.

Answers

We know that the length of AB on the scale drawing is 10 inches

Using the scale of 1 inch: 250 feet, we can find the length of AB on the scale drawing by multiplying the actual length of AB by the scale factor.

The actual length of AB is the sum of the height of the tower (800 ft) and the length of the support wire (1,700 ft), which is 2,500 ft.

Multiplying 2,500 ft by the scale factor of 1 inch: 250 feet, we get:

2,500 ft ÷ 250 ft/inch = 10 inches

Therefore, the length of AB on the scale drawing is 10 inches.

To know more about length refer here

https://brainly.com/question/9842733#

#SPJ11

Luis tiene una mochila de ruedas que mide 3.5 pies de alto cuando se extiende el mango. Al hacer rodar su mochila, la mano de Luis se encuentra a 3 pies del suelo. ?Qué ángulo forma su mochila con el suelo? Aproxima al grado más cercano.

Answers

The backpack forms an angle of approximately 15 degrees with the ground.

What is Pythagorean theorem?

The Pythagorean theorem is a fundamental concept in mathematics that relates to the lengths of the sides of a right triangle.

To find the angle that Luis's backpack forms with the ground, we can use the inverse tangent function.

The height of the backpack when the handle is extended is 3.5 feet, and the distance from the ground to Luis's hand is 3 feet. So the opposite side of the triangle is 3.5 - 3 = 0.5 feet, and the adjacent side is the distance from Luis's hand to the backpack, which we can call x.

Using the tangent function, we have:

tan(theta) = opposite/adjacent

tan(theta) = 0.5/x

To solve for x, we can use the Pythagorean theorem:

x² + 3² = (3.5)²

x² = 3.5² - 3²

x² = 3.25

x = sqrt(3.25)

x ≈ 1.8 feet

Now we can substitute x into our tangent equation and solve for theta:

tan(theta) = 0.5/1.8

theta = arctan(0.5/1.8)

theta ≈ 15 degrees

Therefore, the backpack forms an angle of approximately 15 degrees with the ground.

To learn more about Pythagorean theorem from the given link:

https://brainly.com/question/14930619

#SPJ1

dont guess, due in a few minuets

Answers

For a proper use of unit multipliers to convert 24 square feet per minute, the right choice is A.

How to determine conversion?

The proper use of unit multipliers to convert 24 square feet per minute to square inches per second is:

24 ft²/1 min × 12 in/1 ft × 12 in/1 ft × 1 min/60 sec = (24 × 12 × 12)/(1 × 1 × 60) in²/sec

Thus, when these conversion factors are multiplied by the specified value of  24 ft²/1 min:

24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec

= (24 x 12 x 12) in² / (1 x 1 x 1) min x (1 x 1 x 60) sec

= 4,608 in²/sec

Therefore, the correct answer choice is:

24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.

Find out more on unit multipliers here: https://brainly.com/question/13736702

#SPJ1

R1 and R2 be relations on a set A represented by the matrices ?

Answers

R1 and R2 are relations on a set A, which means they define a set of ordered pairs of elements in A. The matrices that represent R1 and R2 can be thought of as a way to visualize these ordered pairs.



Each row and column of the matrix corresponds to an element in A. If there is a 1 in the ith row and jth column of the matrix for R1, then (i,j) is an ordered pair in R1. Similarly, if there is a 1 in the ith row and jth column of the matrix for R2, then (i,j) is an ordered pair in R2.

If there is a 0 in a particular position in the matrix, then the corresponding pair is not in the relation.

Let R1 and R2 be relations on a set A. These relations can be represented by matrices M1 and M2, respectively, with dimensions |A|x|A|, where |A| is the cardinality of set A. The elements of the matrices M1 and M2 are binary, indicating whether there is a relation between the corresponding elements of set A in R1 and R2, respectively. If there is a relation, the matrix element will be 1, and if there is no relation, the matrix element will be 0.

To know more about set, refer to the link below:

https://brainly.com/question/13088885#

#SPJ11

Find the product of d = ba. d11 = d12 = d21 = d22 =

Answers

Given d = ba, we can write:

d11 = b1a1 + b2a3

d12 = b1a2 + b2a4

d21 = b3a1 + b4a3

d22 = b3a2 + b4a4

To find the product of d, we need to find the values of b and a such that d11 = d12 = d21 = d22.

Let's assume that d11 = d12 = d21 = d22 = x. Then, we have:

b1a1 + b2a3 = x

b1a2 + b2a4 = x

b3a1 + b4a3 = x

b3a2 + b4a4 = x

We can solve for b1, b2, b3, and b4 in terms of a1, a2, a3, and a4:

b1 = (x - b2a3)/a1

b2 = (x - b1a1)/a3

b3 = (x - b4a3)/a1

b4 = (x - b3a1)/a3

Substituting these values of b1, b2, b3, and b4 into the equation d = ba, we get:

d11 = x = a1(x - b1a3)/a1 + a3(x - b2a1)/a3

= x - b1a3 + x - b2a1

= 2x - (b1a3 + b2a1)

d12 = x = a2(x - b1a3)/a1 + a4(x - b2a1)/a3

= (a2/a1)x - (b1a2 + b2a4) + (a4/a3)x - (b1a4 + b2a4)

= x - (b1a2 + b2a4)

d21 = x = a1(x - b3a3)/a1 + a3(x - b4a1)/a3

= (a1/a1)x - (b3a3 + b4a3) + (a3/a3)x - (b3a1 + b4a3)

= x - (b3a1 + b4a3)

d22 = x = a2(x - b3a3)/a1 + a4(x - b4a1)/a3

= (a2/a1)x - (b3a2 + b4a4) + (a4/a3)x - (b3a4 + b4a4)

= x - (b3a2 + b4a4)

We can rewrite these equations in matrix form as:

| 2 -a3-a1 0 0 || x | | b1a3 + b2a1 |

| 0 a2 0 -a4 || | = | b1a2 + b2a4 |

| -a3-a1 0 2 -a1 || | | b3a1 + b4a3 |

| 0 -a4 -a1 2 || | | b3a2 + b4a4 |

To solve for x, we need to invert the matrix on the left and multiply it by the vector on the right:

| x | | 2 -a3-a1 0

To know more about multiply refer here

httpsbrainly.42663642#

#SPJ11

Help with question in photo please

Answers

Answer:

  124°

Step-by-step explanation:

You want the measure of the angle marked (4+10x) where chords cross. The chords intercept arcs marked (9x+20) and (10x).

Angle relation

The measure of the angle where chords cross is the average of the measures of the intercepted arcs.

  ((9x +20) +(10x))/2 = 4 +10x

  19x +20 = 20x +8 . . . . . . . . . multiply by 2

  12 = x . . . . . . . . . . . . . . subtract (19x+8)

The angle at E is ...

  4 +10(12) = 124

The measure of angle DEC is 124°.

__

Additional comment

Arc DC is 128°; arc BU is 120°.

This is my math hw someone help pls ?

Answers

in order for you to find the hypotenuse you must use cos(59)=45
45/cos(59)

In rhombus YZAB, if YZ=12, find AB.​

Answers

The length of side AB is also 12 units.

What is a rhombus?

A rhombus is a four-sided quadrilateral with all sides of equal length. It is also known as a diamond or a lozenge. In a rhombus, opposite sides are parallel, and opposite angles are equal. Additionally, the diagonals of a rhombus bisect each other at right angles, meaning they intersect at a 90-degree angle and divide each other into two equal segments.

Since a rhombus has all sides of equal length, we know that YZ = AB. Therefore, if YZ = 12, we have:

AB = YZ = 12

So the length of side AB is also 12 units.

To learn more about rhombus visit the link:

https://brainly.com/question/26154016

#SPJ9

Ignacio chooses a plant at random that does not have a white bloom. What is the probability of the complement of the event? Express your answer as a fraction in simplest form

Answers

The probability of the complement of the event of Ignacio chooses a plant at random that does not have a white bloom is 0.7692.

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more probable it is that the event will take place.

Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The probability that Ignacio chooses the plant which have white bloom in it is,

P = number of white bloom / total number of flowers

P = 21 / 91

So the probability that the chosen flower is not white is,

1 - P = 1 - 21/91 = 70/91 = 0.7692.

Therefore, the probability of not choosing white is 0.7692.

Learn more about Probability:

https://brainly.com/question/30859510

#SPJ4

Other Questions
The snow globe below is formed by a hemisphere and a cylinder on a cylindricalbase. The dimensions are shown below. The base is slightly wider than the globewith a diameter of 10cm and height of 1cm.10 cm4cm3cmPart C: If each globe is individually packaged into a box, what are the minimumdimensions of the box? The height of the storage space is 6 feet. The length is 2 times the width. The volume of the storage is 48 cubic feet. What is the width and length of the storage space NEED ASAP!Which 2 leadership styles promote teamwork the graph of a sinosudial function has a maximum point at (0,5) and then has a minimum point at (2pi, -5) How do you solve for average daily balance? Find the probability that a randomlyselected point within the circle fallsin the red shaded area (square).r = 4 cm4 2 cm[? ]%round to the nearest tenth of a percent. Adama Garment which is operating in Adama currently has opened four new stores in Ethiopia. Data on monthly sales volume and labor hours are given below for each town. Which store location has the highest labor productivity? Continued 4. Take a case of one company or the company in which you are working, and then: Identify the outputs and inputs of the company Estimate yearly outputs and inputs identified either in value or volume Calculate single, multiple, and total factor productivity Read each item to determine if it contains an illusion, flashback, or foreshadowing 20. An astronaut weighs 8.00 102newtons on thesurface of Earth. What is the weight of the astronaut6.37 106meters above the surface of Earth? Triangle P'Q'R' (shown below) is a dilation of Triangle PQR (not shown) using center point C and a scale factor of 1.5.What is the length, in units, of segment PQ? Explain your thinking by writing or showing math work. True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b Which scenario best illustrates the concept of modeling aggression?. Suppose that you carried out a small survey in your neighborhood (four to fivefamilies). your presumed interview data revealed that almost 50% of the people gottheir first vaccination shot while the others are fully vaccinated and preparing to getthe booster shot. prepare an introduction section of a report keeping in view thefollowing sections Using process capability studies, processes may be classified asbeing in statistical control and capable. Explain the basis andmeaning of this classication. In a myennated fiber only the initial segment in thezone has voltage regulated channels??? True or False 1. Complete eradication programs of ticks in cow house system must be applied on . A. AnimalsC. Stable B. Animals and stable. D. All answers are false. 2. is that water which fall to the ground, does not penetrate the earth layers, but forms rivers, streams and lakesA. Surface water C. Ground waterB. WellD. Spring 3. . Is reached after penetration of the ground without touching the first impermeable stratumA. Deep wellC. Shallow springB. Shallow wellD. Deep spring4. Water intended for drinking should beA. Palatable C. Free from impurities B. Sufficient in quantity D. All answers are true 5. Chlorine is used in water treatment plants to provide chlorine in the ratio of . Ppm by using special apparatus called chlorinator. A. 3C. 0. 5B. 2D. 1 Pls help, answer both of the questions with explanation. Find the absolute maximum and minimum values of f(x,y) = x^2 + 2y^2 on the square [0,1] x [0,1] Pythagorean Theorem help quickly please in day 1 of this multi-step experiment, we use two acids - acetic acid and sulfuric acid. what is the role of the sulfuric acid? group of answer choices