A relative frequency table is made from data in a frequency table.

Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes S, T, total. The second column is labeled U with entries 26%, 21%, 47%. The third column is labeled V with entries 42%, k, 53%. The fourth column is labeled total with entries 68%, 32%, 100%.
What is the value of k in the relative frequency table? Round the answer to the nearest percent.

2%
11%
20%
33%

Answers

Answer 1

Answer:

k = 11  let me know if you don't understand how I got this.  

Step-by-step explanation:

I'm gonna write it out

 U V total

S  26 42 68

T   21 k 32

Total 47 53 100

So, you want to look at the column and row labeled total, this is the key.  for the row total, it sums up everything in the column above it.  so for the u column, the total value is 47 while the two values above it are 26  and 21.  These two values sum to 47.  This is the same for all other columns, and you can use the same reasoning with the total column as well summing rows.

This gives you two ways to solve for k.  either 21 + k = 32 or 42 + k = 53.  Either way gets you the answer k = 11

Answer 2

The value of k in the relative frequency table is 11%.

What is relative frequency?

The ratio of the frequency of a particular event in a statistical experiment to the total frequency.

           U        V            total

S         26      42           68

T         21        k            32

Total   47       53          100

As, when we add the column data 26+ 21 = 47 which shows that the total consist of sum of column data.

So,  

21 + k = 32

k = 11

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Related Questions

a movie theater charges $10.50 per ticket and $5 per bucket le popcorn. you never buy the popcorn because you think it's too expensive​

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Answer:

any other info pls tell me

Step-by-step explanation:

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Answer:

If the poster is enlarged by the scale factor 5/2 then,

length=12×5/2=30ft

And,

breadth=3×5/2=7ft

>>>>correct ans is 7.5 by 30

Answer:

7.5 feet by 30 feet

Step-by-step explanation:

i believe you would take 12 and divide it by 2 and then multiply it by 5=30. And then do the same for 3. 3 divided by 2 =1.5 and 1.5 multiplied by 5 =7.5

The answer would be 7.5 feet by 30 feet

Complete the following table with the properties used to solve 4(x + 3) =20
Statements Proof:
4(x + 3) = 20:
4x + 12 = 20:
4x = 8:
x =2:

Answers

Answer:

distributive property, subtraction, division

Step-by-step explanation:

i don't know the exact name of the last two but that's what i'm assuming they're called lol

Final answer:

The properties used to solve the equation 4(x + 3) = 20 are the distributive property, subtraction property of equality, and division property of equality. First, the distributive property is used to expand the left-hand side, then subtraction is used to isolate 4x. Finally, division is used to find x = 2.

Explanation:

The question provides an algebraic equation and uses properties to solve for the variable 'x'. The steps taken demonstrate the following properties:

Distributive property: The equation starts as 4(x + 3) = 20. Through the distributive property (a*(b + c) = a*b + a*c), this is expanded to 4x + 12 = 20.Subtraction property of equality: Next, 12 is subtracted on both the sides giving 4x = 8. This property states that we can subtract the same value from both sides of the equation and it will still hold true.Division property of equality: Finally, the equation is divided by 4 on both sides, which results in x = 2. This property tells us that if we divide both sides of the equation by the same non-zero number, the equation will still be equal.

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A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 26, 13, 19, 2, 12. The third column is labeled predicted with entries 22.2, 18.3, 14.4, 10.5, 6.6. The fourth column is labeled residual with entries 3.8, negative 5.3, 4.6, negative 8.5, 5.4.
For the given table, which point lies on the residual plot?

(1, 26)
(2, 18.3)
(3, 4.6)
(4, 19)

Answers

Answer:

Sample 1: 1.5

Sample 2: -2.5

Sample 3: 5.5

Step-by-step explanation: I just did it

Answer:

(3, 4.6)

Step-by-step explanation:

Took the test on edge.

Please help on this! I will mark brainliest if right!

Answers

Answer:

13 units

Step-by-step explanation:

Use the pythagorean theorem and find the hypotenuse.

a^2 + b^2 =c^2  

Draw the triangle by connecting the dots so you can see the legs.

one leg is 8 units and one leg is 10 units

8^2 + 10^2 = c^2

64 +100= c^2

164 = c^2

Find the square root of 164 which is 12.8. Round to 13

Consider the geometric sequence 4,20, 100, 500, 2500, 12500, 62500, 312500. Give the values of g1, r, n.

Answers

The formula for geometric sequence is (g1) times ((r)^n)). g1 = 4. R is the rate = 5. N is the power. In this case N = 0, 1, 2, 3, 4, 5, 6, and 7.

Which number should each side of the equation 2/3x=10 be multiplied by to produce the equivalent equation of x = 15?


−2/3

1/3

3/2

3

Answers

Answer:

3/2

Step-by-step explanation:

If you want to get the coefficient of x to be 1, you multiply by the reciprocal of the coefficient. The reciprocal is 3/2, so you multiple by 3/2

(02.02)
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Select one
O a. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y
b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y
c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48
d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24

Answers

Let

L--------> the length of the rectangle

y------> the width of the rectangle

x------> the perimeter of the rectangle

we know that

The perimeter of the rectangle is equal to

In this problem we have

For a width  

Find the value of the perimeter

so

therefore

the answer is the option A

No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y. .

Write the ratios 20:40:60 in its simplest form?

Answers

Answer:

1:2:3

Step-by-step explanation:

Final answer:

The ratio 20:40:60 is simplified by dividing each number by the greatest common divisor (GCD), which is 20, giving us the simplest form of the ratio as 1:2:3.

Explanation:

To write a ratio in simplest form, you have to find the greatest common divisor (GCD) of the numbers and then divide all numbers by the GCD. In the ratio 20:40:60, the GCD is 20. Therefore, when you divide each number of the ratio by the GCD you get 1:2:3. So, the ratio 20:40:60 in its simplest form is 1:2:3.

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6x^2=726
[tex]6x^2 = 726[/tex]

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Step 1:  Divide both sides by 6

[tex]6x^2 / 6 = 726 / 6[/tex]

[tex]x^2 = 121[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{121}[/tex]

[tex]x = 11[/tex]

Answer:  [tex]x=11[/tex]

Answer:

[tex]6 {x}^{2} = 726 \\ \frac{6 {x}^{2} }{6} = \frac{726}{6} \\ {x}^{2} = 121 \\ x = \sqrt{121} \\ x = 11[/tex]

How do you think inequalities are different from equations you have worked with before?

Answers

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.

Hope this helps, and have a nice day

Step-by-step explanation:

Good luck! :)

Answer:yes they are different

Step-by-step explanation:

1. An equation is an equality of two mathematical expressions. That's why it has an equal(=) sign . For example:

12x=10x +2x

Or

3x+4y=5

2. While an inequation is an inequality of two expressions and here the greater than and lower than signs are used with equal sign i.e. >,< or=

For example

4y+5a > 5

Or

8a< 7b

William's typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 min. The equatio
f-1.5 = 6 can be used to represent this problem, where fis William's fastest speed. What is William's fastest speed?

A) 4.5 mi/h
B) 5.5 mi/h
C)6.5mi/h
D) 7.5 mi/h

Answers

Answer:

D) 7.5 mi/h. hcbhcvu yc yv. y yv yh

Answer:

D

Step-by-step explanation:

7.5

Rounded to the nearest whole number, what is the approximate population density of Michigan, according to the table shown below.

Answers

Answer:

~102 per square mile.

Step-by-step explanation:

9883640 divided by 96,716 is 102.19 so rounding down to 102.

What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16

Answers

The answer is 8 because you use the order of operations. So it would be 16 divided by 4, then you would do 4+4 which is 8

Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

Answers

Answer:

153.94

Step-by-step explanation:

Factor: 6a²−378a²−384a.

Answers

Answer:

=-372a^2-384a

Step-by-step explanation:

6a^2-378a^2-384a

=-372a^2-384a

If it’s simplifying the expression it’s -372a^2 -384a, and if it’s factoring it -12a(31a+32)

How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x > 10?

Explain your reasoning.

Answers

Answer:

First lets find the solutions to each inequality.

-2x[tex]\geq \\[/tex]10 and -2x>10 (divide both sides by -2 to solve)

x[tex]\leq[/tex]-5 and x<-5

x[tex]\leq[/tex]-5 tell us that x could be -5 or less.

x<-5 tells us that x could be -6 or less.

The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer

Hope this helps ;)

How would you classify number 125?
A perfect square
B perfect cube
C both a perfect cube and a perfect square
D neither a perfect square nor a perfect cube

Answers

Answer:B (perfect cube)

Step-by-step explanation: 125 is the cube of 5

A circle with area 36 π has a central angle of 11/6 π radians

Answers

Answer:

33pi or 103.62 square units

Step-by-step explanation:

central \: angle \: ( \theta)  \\ =  \frac{11}{6}  {\pi}^{c}  = \frac{11}{6} \times 180 \degree = 330 \degree  \\  \\ area \: of \: sector  \\ =  \frac{ \theta}{360 \degree}  \times area \: of \: circle \\  \\  = \frac{ 330 \degree}{360 \degree}  \times 36 \: \pi \\  \\  = \frac{ 330 }{10 } \pi \\  \\  =  \red{ \bold{33\pi}} \:  {units}^{2}  \\  = 33 \times 3.14 \\  = 103.62 \: {units}^{2}  \\

Matti built a greenhouse in his backyard as shown below.

How much cubic space is in Matti's greenhouse?

A. 191.1 ft 3
B. 367.5 ft
C. 382.2 ft3
D. 735.0 ft

Answers

Answer:

B) 367.5 ft

Step-by-step explanation:

BECAUSE ITS NOT A

Answer:

the answer is b

Step-by-step explanation:

........................................................................................

Answers

Answer:

[tex]125.9 ft^2[/tex]

Step-by-step explanation:

Missing question:

An artist is making a rectangular canvas for a custom painting. the canvas has a width of 9 1/2 feet and a length of 13 1/4 feet . what is the area of canvas in square feet?

The area of a rectangle is given by the formula

[tex]A=L\cdot w[/tex] (1)

where

A is the area

L is the length

w is the width

In this problem, we have a rectangular canvas, so we want to find its area.

We know that:

[tex]w=9\frac{1}{2}ft[/tex] is the width, converting into an improper fraction,

[tex]w=\frac{9\cdot 2+1}{2}=\frac{19}{2}[/tex] ft

[tex]L=13\frac{1}{4}ft[/tex] is the length, converting into improper fraction,

[tex]L=\frac{13\cdot 4+1}{4}=\frac{53}{4}[/tex] ft

Substituting into eq (1), we can find the area of the canvas:

[tex]A=\frac{19}{2}\cdot \frac{53}{4}=\frac{1007}{8}=125.9 ft^2[/tex]

What is the value of the expression when a = 4, b = 3 ,and c = 10?
3a4b−c
1
4
6
12

Answers

Step-by-step explanation:

hope it will help you....

I need help with this please. I don’t understand how to do this

Answers

Answer:

i can help!

Step-by-step explanation:

all you have to do is first add all the # after you should be left with 2 # multiply them together and there you have your answer!

Write an equation for the line shown

Answers

the equation is Y=3x+0


Express as simply as possible with a rational denominator. 1/root13

Answers

Answer: root13/13

Step-by-step explanation:

Answer:

root13/13

Step-by-step explanation:

A rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it. There is enough gravel to cover 80 square meters. Enter an inequality that represents all possible widths(w), in meters, of the pathway.

Answers

Let w represent width of the pathway.

We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.

Since pathway will be on all sides, so new length and width of garden with pathway would be [tex]13+2w[/tex] by [tex]15+2w[/tex].

We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.

The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.

We know that area of rectangle is width times length.

[tex]\text{Area of pathway}=(15+2w)(13+2w)-15(13)[/tex]

Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.

[tex](15+2w)(13+2w)-15(13)\leq 80[/tex]

Therefore, our required inequality would be [tex](15+2w)(13+2w)-15(13)\leq 80[/tex].

Definition: This is the observed variable in an experiment or study whose changes are determined by the
presence or degree of one or more independent variables. When graphed, this variable is usually on the
vertical axis.

Answers

Answer:

VERTICLE AXIS IS THE ANSWER

Step-by-step explanation:

BRAINLIEST PLEASE????

Answer:

Dependent Variable

Step-by-step explanation:

Select the correct answer.

Cesar had a part-time job last year. He worked every week for the year and made $23 an hour. He worked 28 hours each week. Cesar saved

what was left of his earnings after paying all of his monthly expenses. At the end of the year, he had saved $3,360. What were Cesar's average

monthly expenses, rounded to the nearest dollar?

A

$1,288

B. $1,680

C. $2,403

D. $2,511

E. $2,791

Answers

Answer:

D. $2,511

Step-by-step explanation:

First off, we need to write down the facts we know.

There are about 52.177 weeks in a year

Cesar works 28 hours each week

Cesar makes $23 an hour

There are 12 months in a year

Cesar has $3,360 after his monthly expenses

To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses. This means that your answer is: D. $2,511.

Answer:

D. $2,511

Step-by-step explanation:

$23 x 28 x 52 = $33,488

$33,488 ÷ 12 = $2,790.66 = $2,791

12($2,791) - $3,360 = 30,132

$30,132 ÷ 12 = [$2,511]

Maten forgot some of her 12 facts. She wants to find 6x12 , but all she can remember is 5x12=60 . How could she use the fact 5x12=60 to find 6x12? Explain

Answers

Answer:

5 times 12 = 12 times 5

Step-by-step explanation:

You flipped the factors since they were the same. 5 times 12 = 60 when you flip the factors 12 times 5 = 60

At a raffle, 250 tickets are sold at $1 each for 3 prizes of $100, $50, and $10. You buy 1 ticket. What is the expected value of your gain? Should you play this game? 1. Explain HOW to determine the expected value. (one paragraph) 2. Interpret the meaning of the expected value for this scenario. (one paragraph)

Answers

Answer:

enervsorry it glitched, but the expected value would be 50  

Step-by-step explanation:

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