State whether the given pair of sets are equal, equivalent, both, or neither. {0,9}; {8, 1)
Answer:
Equivalent
Step-by-step explanation:
A set is a well defined collection of objects.
Two sets are said to be equal if they have the same elements.
Two sets are said to be equivalent if they have the same number of elements.
Given sets are [tex]\{0,9\}\,,\,\{8,1\}[/tex]
These sets are not equal as both the sets have different elements.
Order of both the sets is 2 (number of elements in both sets is 2)
So,
these two sets are equivalent.
HURRYYYY PLSSSSS IM TIMED
Which equation represents the number of books (b) a student reads each week (w) if the student reads 3 books each week? How many books will the student read in 18 weeks?
Question 3 options:
A)
w = 3b; 18
B)
b = 3w; 18
C)
w = 3b; 54
D)
b = 3w; 54
A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do this, a sample of 15 children is selected and the data are given below. Age (in years) Height (inches) 7 47.3 8 48.8 5 41.3 8 50.4 8 51 7 47.1 7 46.9 7 48 9 51.2 8 51.2 5 40.3 8 48.9 6 45.2 5 41.9 8 49.6 How much of the variation in the sample values of height does the model estimate
Answer:
0.940
Step-by-step explanation:
Given the data:
Age in years(X) _____Height(Y)
7 _________ 47.3
8 _________48.8
5 __________41.3
8 _________ 50.4
8 ___________51
7 __________47.1
7 __________46.9
7 ___________48
9 __________51.2
8 __________51.2
5 __________40.3
8 __________48.9
6 __________45.2
5 __________41.9
8 __________49.6
The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.
Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.
Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.
The Empire State Building weights about 7.3 x 10 ^8
Answer:
730000000 lbs?
Step-by-step explanation:
Answer:
730000000
Step-by-step explanation:
7.3 x 10^8
Do exponents first. 10^ 8 is the same as 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10, which equals 100000000 x 7.3 = 730000000
Jillian has been updating the design of a media streaming website. She wonders if users will spend more time on the site with the new design, so she designs a study. She starts with a random sample of 1,000 users and randomly assigns half of them to the old design and half of them to the new design. After a week, she notices that users with the new design spend significantly longer on the site than the users with the old design. Can we conclude that the new design caused users to spend more time on the site? Why? Choose 1 answer: A)Yes because the sample size was large, B) Yes, because the users were randomly assigned to treatment and control groups, C) Yes, because the users were randomly selected, D) Not necessarily, because the sample size was too small, E) Not necessarily, because this wasn’t an experiment.
Answer:
Yes, because the users were randomly assigned to treatment and control groups
Step-by-step explanation:
Random assignment to treatment and control groups makes this study an experiment, so we can make causal conclusions.
Answer:
C: Yes, because the users were randomly selected
Step-by-step explanation:
Got it right on USATP.
Hope this helps!
From: Aug1e
What is the slope of a line that is perpendicular to the line y =-1/5
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .
(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following data: Assume that the suburb has a population of 320000 and is growing at a rate of 5000 per year. Assume that the city has a population of 624000 and is declining at a rate of 14000 per year. In how many years will the populations of the suburb and the city be equal
Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
A line with a positive slope is perpendicular to one of the lines shown. What is its slope? Use the graph
shown below.
The slope is
Answer:
¾
Step-by-step explanation:
The line that slants upward from left to right is a positive slope, while the line that slants downwards from left to right is a negative slope.
Therefore, the blue line would have a positive slope. Since the blue line with a positive slope is perpendicular to the red line with a negative slope, therefore, the slope of the line with a positive slope that we are looking for and that is perpendicular to one of the lines (red line) would be the same with the slope of the blue line.
The slope of the blue line is calculated as shown below:
Use the coordinates of these two points on the blue line to find the slope, (0, 1) and (4, 4)
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} [/tex]
[tex] slope(m) = \frac{3}{4} [/tex]
The slope of the line we are looking for is ¾.
Answer:
3/4
Step-by-step explanation:
Then find MN.
LM = 5
MN = x - 4
LN = 2x– 11
equation:
MN =
Answer:
[tex]MN = 8[/tex]
Step-by-step explanation:
Given
[tex]LM = 5\\MN = x - 4\\LN = 2x - 11[/tex]
Required
Determine MN
MN is calculated as thus:
[tex]LN = LM + MN[/tex]
Make MN the subject
[tex]MN = LN - LM[/tex]
Substitute values for MN, LN and LM
[tex]x - 4 = 2x - 11 - 5[/tex]
[tex]x - 4 = 2x - 16[/tex]
Collect Like Terms
[tex]x - 2x = -16 +4[/tex]
[tex]-x = -12[/tex]
[tex]x= 12[/tex]
Substitute 12 for x [tex]MN = x - 4[/tex]
[tex]MN = 12 - 4[/tex]
[tex]MN = 8[/tex]
Need help i will mark you brainliest
Help I will award brainliest help asap! Uwu: If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?
Answer:
Speed= Dist/time= p/x miles per minute
Time to run q miles=q divided by p/x= qx/p minutes
Step-by-step explanation:
Lines I and M are parallel.
What is the measure of angle 3?
Answer:
25
Step-by-step explanation:
By the vertical angle theorem, we can find that:
m∠1 = 85
By the corresponding angle theorem, we can find that:
m∠2 = 2x
By the alternate interior angle theorem, we can find that:
m∠3 = x - 10
We also know that angles 1, 2, and 3 are the measures of the angles of a triangle. So:
85 + 2x + (x - 10) = 180
Lets solve for x. Combine like terms.
75 + 3x = 180
Subtract 75 from both sides.
3x = 105
Divide both sides by 3.
x = 35
So now we know that x + 35. Knowing this, we can find the measure of angle 3 by plugging 35 for x in x - 10
m∠3 = 35 - 10 = 25
So the measure of angle 3 is 25.
I hope this helps. Happy studying.
The distance from a point to two is five units. The point could be located at
-7
-6
6
-3
NEXT QUESTION
O ASK FOR HELP
Answer:
The correct answer is -3
Step-by-step explanation:
attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.
Moving five units from -3 to 2 on a number line is given as follows:
-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2
From the motion expression shown above, moving from -3 to 2 involves moving 5 units.
another way of determining the correct answer is to find the difference in interval between the two points as shown below:
Let the point be x
2 - x = 5 units
2 - 5 = x
∴ x = -3
Answer:
-3
Step-by-step explanation:
it was on quiz baby
if 1/4 of a number is 7 what is the number
Answer:
28
Step-by-step explanation:
7*4
Please help me on this problem
Answer:
the y intercept is 3 and the x intercept is 6
Step-by-step explanation:
Austin has $12 in his piggy bank and deposits 75 cents each week. Daniel has has $15 and deposits 50 cents each week
Answer:
whats the question?
Step-by-step explanation:
Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
Two pools are being filled with water. To start, the first pool had 1850 liters of water and the second pool had 1334 liters of water. Water is being added to the first pool at a rate of 27 liters per minute. Water is being added to the second pool at a rate of 39 liters per minute. (a) For each pool, write an expression for the amount of water in each pool after x months. (b) Write an equation to show when the two pools would have the same amount of water.
Answer:
a)Total amount of water in pool 1 after x minutes = 1850+27x
Total amount of water in pool 2 after x minutes = 1334+39x
b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x
Step-by-step explanation:
First Pool :
Initial amount of water in Pool = 1850 liters
Water is being added to the first pool at a rate of 27 liters per minute.
Amount of water added after x minutes = 27x
So, Total amount of water after x minutes = 1850+27x
Second Pool:
Initial amount of water in Pool = 1334 liters
Water is being added to the first pool at a rate of 39 liters per minute.
Amount of water added after x minutes = 39x
So, Total amount of water after x minutes = 1334+39x
Now to find an equation to show when the two pools would have the same amount of water.
1850+27x= 1334+39x
1850-1334=39x-27x
516=12x
[tex]\frac{516}{12}=x[/tex]
43 =x
Hence
a)Total amount of water in pool 1 after x minutes = 1850+27x
Total amount of water in pool 2 after x minutes = 1334+39x
b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x
RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?
A. 26°
B. 232°
C. 64°
D. 58°
Answer:
D. 58
Step-by-step explanation:
pretty easy clap
bisecting is midpoint which makes the two angles congruent
The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers. Which statement describes the limitation for the reasonable range compared to the mathematical range? The limitation for the reasonable range restricts it to positive real numbers. The limitation for the reasonable range restricts it to positive whole numbers. The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40. The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.
Answer:
x ∈ R ( 0 , + ∞ )
Step-by-step explanation:
In the function:
F(x) = 4*x -0,1*x²
The domain of F(x) is all the set of real numbers
R ∈ ( -∞ , +∞ )
values for F(x), can be found from negative and positive values of x
for instance for:
x = -2 F(x) = 4*(-2) - 0,1 * (-2)² F(x) = - 8,4
x = 2 F(x) = 4*(2) - 0,1 * (2)² F(x) = 7,6
But distance x could not be negative ( there is not negative distance in the real world), therefore the reasonable range restricts values of x only to positive values.
Then x can be any number x ≥ 0 ( distance could be 0 )
Answer:
C) The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.
Step-by-step explanation:
its right on edg
You have two chances to draw from a normal pack of 52 playing cards. What is the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace
Answer:
The probability is [tex]P(k) =0.07843[/tex]
Step-by-step explanation:
From the question we are told that
The total number of cards is n = 52
Generally the number of ace in a standard deck of cards is k = 4
Generally the the first card drawn is not an ace so the remaining number of ace after the first card is drawn is k = 4
also the remaining total number of cards after the first card is drawn is
N = n- 1
=> N = 52 - 1
=> N = 51
Generally the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace is mathematically represented as
[tex]P(k) =\frac{k}{N}[/tex]
=> [tex]P(k) =\frac{4}{51}[/tex]
=> [tex]P(k) =0.07843[/tex]
Find the value of x. The diagram is not to scale.
Someone help please!!
Answer:
angle T = 114
Step-by-step explanation:
SRT = STR
angle R = angle T
angle R = 33°
so angle R and angle T = 33°
all angles on a triangle = 180°
so
angle R + angle S + angle T = 180°
and angle R and S = 33° so subtitute...
33 + 33 + T = 180
then solve:
66 + T = 180
-66 -66
T = 114
mathy way:
SRT = STR Given
SRT = 33 Given
33 = STR Substitution Property of Equality
STR = 33
R + S + T = 180° Deffinition of triangle
33 + 33 + T = 180 Substitution Property of Equality
66 + T = 180 Addition
T = 114 Subtraction Property of Equality
show your work
answer:v/7= 8
Answer:
V=56
Step-by-step explanation:
7x8=56
56/7=8
Answer:
v=56
Step-by-step explanation:
1 Multiply both sides by 77.
v=8\times 7v=8×7
2 Simplify 8\times 78×7 to 5656.
v=56
Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation formula, what sample size, n, should you use
Answer:
Sample size should be less than 85
Step-by-step explanation:
Sample size should be less than 85
Step-by-step explanation:
To use the infinite standard deviation formula, n has to be <= (0.05)(1700)
n <= 85
So the sample size has to be less than 85
In another way too,
n = sample size
N = population size
For population, we multiply correction factor to the infinite standard deviation
F is <= 0.05
[tex]n/{N} <0.05[/tex]
n<0.05x1700
n<85
Sample size should be less than 85
Travis has won 9 snowboarding competitions.
He wants to display his trophies on a shelf.
How many different ways could he arrange
the trophies on the shelf?
A. 9
B. 72
C. 81
D. 362,880
If you roll a die once, what is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6
Answer:
1/6
Step-by-step explanation: there are 6 incomes and 1 number 3 in a die
Mai works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer:$94.50
Step-by-step explanation:5% of 50 is 2.5 and 5% of 40 is 2 so the math you would do is 50+40+2.5+2 which equals $94.50.
Convert the following decimal numbers to BCD and add them. Convert the result back to decimal to check your answer
(a) 8
(b) 43
(c) 12 + 16
(d) 47 +38
(e) 36 +22
(f) 80 + 23 + 72
(g) 12 +89
(h) 99
Answer and Step-by-step explanation:
Solution:
(a) 8 + 3
Convert into BCD:
8 = 1000
3 = 0011
Add them:
8 + 3 = 11
1000 + 0011 = 1011
Answer is correct.
(b) 43 + 72
Convert into BCD:
43 = 0100 0011
72 = 0111 0010
Add them:
43 + 72 = 115
0100 0011 + 0111 0010 = 0001 0001 0101
(c) 12 + 16
Convert into BCD:
12 = 0001 0010
16 =0001 0110
Add them:
12 + 16 = 28
0001 0010 + 0001 0110 = 0010 1000
00101000 = 00101000
Hence Answer is correct.
(d) 47 + 38
Convert into BCD:
47 = 0100 0111
38 =0011 1000
Add them:
47 + 38 = 85
0100 0111 + 0011 1000= 1000 0101
(e) 36 + 22
Convert into BCD:
36=0011 0110
22=0010 0010
Add them:
36 + 22 = 85
0011 0110 + 0010 0010 = 1000 0101
(f) 80 + 23 + 72
Convert into BCD:
80 =1000 0000
23 = 0010 0011
72 = 0111 0010
Add them:
80 + 23 + 72 =175
1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101
(g) 12 + 89
Convert them into BCD:
12 = 0001 0010
89 = 1000 1001
Add them:
12 + 89 = 101
0001 0010 + 1000 1001 = 0001 0000 0001
(h) 99
Convert into BCD:
99 = 1001 1001
NEED HELP PLEASE ANSWER
Answer:
I think its 1430 miles
Step-by-step explanation:
Help me plssss I'm confused
Answer:
The first graph .. I am most likely right.
Step-by-step explanation:
Hope i helped.
