Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to its right?
Answer:
Value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)
Value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)
Step-by-step explanation:
7 in the middle of number [tex]0.777[/tex] is equal to [tex]\frac{7}{100}[/tex]
7 to the left of the middle 7 is equal to [tex]\frac{7}{10}[/tex]
So,
[tex]\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}[/tex]
That is value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)
Also,
7 to the right of the middle 7 is equal to [tex]\frac{7}{1000}[/tex]
So,
[tex]\frac{7}{100}=(10) \frac{7}{1000}[/tex]
That is value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)
A the graph shows a proportional relationship between the number of computers produced a factory per day and 3 days 36 computers are produced 48 computers are produced in 4 days and 60 computers are produced in 5 days find the unit rate of computers per day using the graph
Answer:
12 computers/1 day
Step-by-step explanation:
Take one of the day numbers and the output: 60/5=12 per day
Astronomers treat the number of stars X in a given volume of space as Poisson random variable. The density of stars in the Milky Way Galaxy in the vicinity of our solar system is one star per 16 cubic light-years, on average. NOTE: Light-years is a distance measure. 7. What is the probability of exactly two stars in 16 cubic light-years? 8. What is the probability of three or more stars in 16 cubic light-years? 9. How many stars would be expected in 4 cubic light years? 10. How many stars would be expected in t cubic light years? 11. How many cubic light-years of space must be studied so that the probability of one or more stars exceeds 0.95? HINT: let `t' represent the unknown region of space, then nd the `t' that gives you the relevant probability.
Answer:
Explained below.
Step-by-step explanation:
The random variable X is defined as the number of stars in a given volume of space.
[tex]X\sim \text{Poisson}\ (\lambda=1)[/tex]
The probability mass function of X is:
[tex]p_{X}(x)=\frac{e^{-\lambda}\lambda^{x}}{x!}[/tex]
(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:
[tex]P(X=2)=\frac{e^{-1}\times 1^{2}}{2!}=\frac{e^{-1}}{2}=\frac{0.36788}{2}=0.18394\approx 0.184[/tex]
(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:
[tex]P(X\geq 3)=1-P(X<3)\\\\=1-P(X=0)-P(X=1)-P(X=2)\\\\=1-\sum\limits^{2}_{x=0}[\frac{e^{-1}\times 1^{x}}{x!}]\\\\=1-0.36788-0.36788-0.18394\\\\=0.0803[/tex]
(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in t cubic light years there will be, [t × (1/16)] stars.
(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)
Answer:
y= - 3cosx - 2
Step-by-step explanation:
Our max here is at 1, and the minimum is at - 5
The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...
- 5 - (- 2) = - 5 + 2 = - 3
The amplitude is rather - 3.
f(x) = Acos(Bx + C) + D
Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift
f(x) = Acos(Bx + C) + D
f(x) = - 3cosx + (- 2)
f(x) = - 3cosx - 2
Answer:
y= - 3cosx - 2
Step-by-step explanation:
Just Answered on A P E X Practice Assignment
What is the difference?
-6-[11)
-17
5
5
17
Answer:
-17
Step-by-step explanation:
You have to simplify the expression!
Answer:
-17
Step-by-step explanation:
Which statements about geometric sequences are correct? Check all that apply. In a geometric sequence, the ratio between each of the consecutive terms is the same, or constant.
Multiply the common ratio by the last term to extend a geometric sequence.
The sequence 2, 8, 32, 128, . . . is geometric.
The sequence 5, 10, 15, 20, . . . is geometric.
The sequence 3, 18, 108, 648, . . . is geometric.
Answer:
1,2,3,5
Step-by-step explanation:
How to show the value of 11 in two different ways
Answer:
1 x 11
10 + 1
Step-by-step explanation:
. A triangle has one angle measuring 3x degrees. A second angle measures 2x+20 degrees and the third angle measures 4x-20 degrees. What is the value of x
Answer:
Step-by-step explanation:
You know that all of the angles of a triangle have to add to equal 180°.
Therefore, (3x)+(2x+20)+(4x-20)= 180°
If you combine like terms you get:
9x=180°
Divide both sides by 9 to get:
X=20
SOMEONE PLEASE HELP ME... GOD WILL BLESS U...
Kavitha is 9 years younger than Lizzy. 8 years ago, Lizzy was 2 times as old as Kavitha reduced by 1. How old are they now?
Answer: Kavitha is 18 and Lizzy is 27
Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.
10 × 2 = 20
20 - 1 = 19
Kavitha is 9 years younger than Lizzy because 27 - 9 = 18
9514 1404 393
Answer:
Kavitha is 19 and Lizzy is 28
Step-by-step explanation:
Let k and l represent the current ages of Kavitha and Lizzy.
k = l -9 . . . . . Kavitha is 9 years younger
l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago
l -8 = 2(l -9 -9) . . . . substitute for k
l -8 = 2l -36 . . . . . . eliminate parentheses
28 = l . . . . . . . . . . . add 36 - l
k = 28 -9 = 19
Kavitha is 19; Lizzy is 28.
Write the inequality.
A number k plus 5 is greater than or equal to
8.
Ak +5> 8
k+5 <8
k+5 <8
k+528
Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.
How many yards of rope does Martin need to rope off the perimeter of the garden?
Enter your answer in the box.
The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.
What is the Perimeter of a Figure?Perimeter of any figure is the total length of the surrounding of the figure or shape.
Given:
A unit on the grid = 10 yards
From the diagram given, the figure is surrounded by 32 units
Thus:
Perimeter of the garden = 32 units × 10 = 320 yards.
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What percent is equivalent to 1/25
Answer:
4%
Step-by-step explanation:
Step 1:
1/25 = 4/100 Convert Fraction
Step 2:
4/100 = 0.04 Divide by 100
Step 3:
0.04 = 4% Convert
Answer:
4%
Hope This Helps :)
Please plssss pls I’ll award you so much points!! <3
Answer:
Part 1
1.) -105
2.) 120
3.) 15
4.) -200
5.) 40
6.) 16
7.) 240
Step-by-step explanation:
1.) Do 7 x 15, which is 105, then since 15 is a negative and 7 is positive, the product is negative.
2.) Do 5 x 24, which is 120, and sine both 5 and 24 are negative, they cancel each other out and the product is positive.
3.) Do 75 / 5, which is 15, and since both 75 and 5 are negative, they cancel each other out and the quotient is positive.
4.) Do 25 x 8, which is 200, and since 25 is negative and 8 is positive, the product is negative.
5.) Do 120 / 3, which is 40, and since both 120 and 3 are positive, the quotient stays positive.
6.) Do 80 / 5, which is 16, and since both 80 and 5 are negative, they cancel each other out and the quotient is positive.
7.) Do 16 x 15, which is 240, and since both 16 and 15 are negative, they cancel each other out and the product is positive.
Hope this helps <3
Determine the number of real or non real solutions of the equation listed below
using the discriminant.
x2 + x + 4 = 0
Answer:
x =(-1+√-15)/2=(-1+i√ 15 )/2= -0.5000+1.9365i
Step-by-step explanation:
I got two answers
Given m||n, find the value of x.
t
>m
(6x-9)
(5x+10)
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
The two marked angles are corresponding angles, so have the same measure.
6x -9 = 5x +10
x = 19 . . . . . . . . . add 9-5x
3x= 5 + 2(3 + 4x)
How to solve this?
Answer:
Step-by-step explanation:
Simplifying
3x = 5 + 2(3 + 4x)
3x = 5 + (3 * 2 + 4x * 2)
3x = 5 + (6 + 8x)
Combine like terms: 5 + 6 = 11
3x = 11 + 8x
Solving
3x = 11 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
3x + -8x = 11 + 8x + -8x
Combine like terms: 3x + -8x = -5x
-5x = 11 + 8x + -8x
Combine like terms: 8x + -8x = 0
-5x = 11 + 0
-5x = 11
Divide each side by '-5'.
x = -2.2
Simplifying
x = -2.2
Answer:
x = -11/5
Step-by-step explanation:
3x = 5 + 2(3 + 4x)
~Distribute left side
3x = 5 + 6 + 8x
~Combine like terms on the left side
3x = 11 + 8x
~Subtract 8x to both sides
-5x = 11
~Divide -5 to both sides
x = -11/5
Best of Luck!
The length of a rectangular garden is 9 feet longer than its width. If the garden' perimeter is 210 feet, what is the area of the garden in square feet?
Answer:
2736 square feet
Step-by-step explanation:210 minus 18(9 times 2 )equals 192 then 192 divided by 4 (4 because 4 side )equals 48 (48 is the width) to get the length 48 plus 9 equals 57 (57 is the length) to get the area multiply length times width so 57 times 48 equals 2736 square feet
Convert the following 450 seconds to minutes. Use common ratios for help
Step-by-step explanation:
1 minute has 60 seconds
what about 450 seconds
so
450/60=7.5
so 450 seconds are 7.5 minutes.
Can some help please
Answer:
No
Step-by-step explanation:
The triangle inequality rule states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
Answer:
No
Step-by-step explanation:
It doesn't agree to Pythagoras Theoram.
But if they were the sqrt values, it would work.
An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?
Answer:
$110
Step-by-step explanation:
=0.15(x-200)+20
=0.15(800-200)+20
=0.15(600)+20
=90+20
=$110 paid
Getting doubles when two dice are rolled.
Answer:
Make sure you pass go!!!!!!!
Step-by-step explanation:
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
(2.1+5.9)+(−3.7)
−(2.1−5.9)+(−3.7)
(2.1+5.9+3.7)
−2.1−(5.9+3.7)
Answer:
The last one, −2.1−(5.9+3.7)
Step-by-step explanation:
−2.1+(−5.9)+(−3.7) = -2.1-5.9-3.7 = -11.7
the only expression that will come out as -11.7 is the last one
Answer:
The Answer is
-2.1 - (-5.9 + 3.7)
You can totally trust me!!!
Step-by-step explanation:
It's this because they both end up with the same answer and the other ones are like very wrong.
Emma and Clair are planning to sell lemonade on their street. They have two recipes to choose from. Emma’s recipe calls for the juice of 5 lemons and 2 cups of water. Clair’s recipe calls for the juice of 2 lemons and 1 cup of water. Why will the first recipe taste more “lemony”?
Answer:
lemons is greater ratio
Step-by-step explanation:
cause the ratio is larger
lemons to water
5:2
2:1
simplify....
2.5:1
2:1
lemons is greater ratio
Answer:
Emma's recipe will be more "lemony"
Step-by-step explanation:
If you are to take Clair's recipe and multiply it x2 so that the common denominator (cups of water) is equal, it will show you that Emma's recipe has more lemons in it; therefore will be more "lemony"
mia has 14 coins in her pocket that total $1.10. what are the coins in her pocket
Answer: Either 8 dimes and 6 nickles, or 4 quarters and 10 pennies. Both combinations add up to $1.10.
Have a nice day
The 14 coins can be:
- 8 dimes and 6 nickels
Or
- 10 pennies and 4 quarters
Given,
14 coins make up $1.10
We need to find what are the 14 coins.
What are the different types of coins that make up a dollar?We have,
100 pennies = $1
20 nickels = $1
10 dimes = $1
4 quarters = $1
Find the coins that are worth $1.10
We have
10 dimes = $1
So,
1 dime = $0.10
8 dimes = $0.80 _____(1)
20 nickels = $1
So,
1 nickels = $0.05
6 nickels = $0.30 _____(2)
100 pennies = $1
10 pennies = $0.1 _____(3)
4 quarters = $1 ______(4)
From (1) and (2)
8 dimes + 6 nickels = $0.80 + $0.30
14 coins = $1.10
From (3) and (4)
10 pennies + 4 quarters = $0.1 + $1
14 coins = $1.10
Thus the 14 coins can be:
- 8 dimes and 6 nickels
- 10 pennies and 4 quarters
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Here is a list of numbers:
-8, -4, -13, 19, -5, 10, -15 ,20 ,12 ,16
State the median.
Answer:
-4 and 10
Step-by-step explanation:
USE THE INFO BELOW TO SOLVE
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
need more help?
pics are below for more examples.
:)
What is yeet+yeet=
Please answer
Answer:
yyeeeett
Step-by-step explanation:
just a guess y'know
Answer:
Step-by-step explanation:
Why, it’s quite simple: yeet plus yeet =2yeet. Or if one of those yeets yeeted themselves out the window like Papyrus yeeted himself out of Undyne’s window, then only one sad yeet is left without a friend to yeet.
HOPE THIS HELPS NYHEHEHEHEH
-Signed by The Great Papyrus Spagettitore
You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from the table and the top of the billiard cue touches the table at a point 60 cm off the ground. What is the slope of the billiard cue?
Answer:
-4Step-by-step explanation:
The billiard cue is 15 cm away from the table
This refers to coordinates of (15, 0)The billiard cue touches the table at a point 60 cm off the ground
This refers to coordinates of (0, 60)The slope is as per slope formula;
m = (60 - 0)/(0-15) = 60/ -15 = -4Thea answer is -4
Answer:
-4
Step-by-step explanation:
The foot of the billiard cue is 15 cm away from the table can be represented by the point (15, 0).
The top of the billiard cue touches the table at a point 60 cm off the ground can be represented by the point (0, 60)
The slope formula can be solve with the formula [ y2-y1/x2-x1 ]
60-0/0-15
60/-15
-4
Best of Luck!
help me with this question please
Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Property 1: Every integer is a rational number. Property 2: The sum of any two rational numbers is rational. Property 3: The product of any two rational numbers is rational. Note: Property 1 is Theorem 4.3.1, Property 2 is Theorem 4.3.2, and Property 3 is Exercise 15 in Section 4.3. Using these properties, choose explanations for each step in the given proof.
Given:
Expression is
[tex]3r^2-2r+4[/tex]
To prove:
If r is any rational number, then [tex]3r^2-2r+4[/tex] is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
[tex]3r^2-2r+4[/tex]
It can be written as
[tex]3(r\times r)-2r+4[/tex]
Now,
3, -2 and 4 are rational numbers by property 1.
[tex]r^2=r\times r[/tex] is rational by Property 3.
[tex]3r^2\text{ and }-2r[/tex] are rational by Property 3.
[tex]3r^2+(-2r)+4[/tex] is rational by property 2.
So, [tex]3r^2-2r+4[/tex] is rational.
Hence proved.
We want to prove that if r is rational, then:
[tex]3*r^2 - 2r + 4[/tex] Is also rational.
The proof is below:
Remember that a rational number is any number that can be written as a quotient of two integer numbers.
Then we have:
[tex]r = \frac{a}{b}[/tex]
Where a and b are integers.
If we replace that in our equation, we get:
[tex]3*(\frac{a}{b}) ^2 - 2*(\frac{a}{b}) + 4\\\\\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}[/tex]
Note that if a is an integer, then 3*a^2 is also an integer.
If b is an integer, then b^2 is also an integer.
Now we can perform the sum of these fractions to get:
[tex]\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}\\\\\frac{3a^2 - 2ab + 4b^2}{b^2}[/tex]
And because integers are closed under the addition, then the numerator of that fraction is also an integer, then we have that the given expression can be written as a quotient of two integers, thus, it is a rational number.
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According to General Social Survey of 2016, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 12.9 and a standard deviation of 4.0. The distribution is skewed slightly to the right. For each sample size below: Describe the mean, standard error, and shape of the sampling distribution of the means for a random sample of: (7 pts) a) 16 residents b) 49 residents c) 121 residents Describe the pattern as n increases
Answer:
a) Mean is 12.9
b) Standard Error
i) n = 16, Standard Error = 1
The shape of the sampling distribution means is not normal
ii) n = 49 , Standard Error = 0.5714285714
The shape of the sampling distribution means is normal
iii) n = 121, Standard Error = 0.3636363636
The shape of the sampling distribution means is normal
c)Describe the pattern as n increases
As the number of random samples(n) increases the value for the standard error decreases
Step-by-step explanation:
Central Limit Theorem states that
if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.
a) 16 residents
Mean = 12.9
Standard Error = Standard Deviation /√n
= 4/√16
= 4/4
= 1
n < 30, hence, The shape of the sampling distribution means is not normal
b) 49 residents
= Mean = 12.9
Standard Error = Standard Deviation /√n
= 4/√49
= 4/7
= 0.5714285714
n > 30, hence, The shape of the sampling distribution means is normal
c) 121 residents
Mean = 12.9
Standard Error = Standard Deviation /√n
= 4/√121
= 4/11
= 0.3636363636
n > 30, hence, The shape of the sampling distribution means is normal
Describe the pattern as n increases
As the number of random samples(n) increases the value for the standard error decreases
