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3 years ago

5

The graph below represents the price of sending video messages using the services of a phone company. What is the constant of pr

oportionality?
Ur help is appreciated
I'm lazy rn

1 answer:

valina [46]3 years ago

4 0

Answer:

I believe your answer is 24

Step-by-step explanation:24/1

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Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

3 years ago

Football fields are 360 ft in length and 160 ft in width. Find the area

rjkz [21]

Answer:

57600cm^2

Step-by-step explanation:

To find the area, you do length * width. In this case, you do 360 * 160. The output will then be 57600cm^2

7 0

3 years ago

Read 2 more answers

Rick drove for 45 minutes on Wednesday for a distance of 34.5 miles. On Thursday, he increased his speed by 3 miles per hour, an

riadik2000 [5.3K]

Answer:

is d and a

Step-by-step explanation:

7 0

3 years ago

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Studentka2010 [4]

Answer:

b

Step-by-step explanation:

4 0

3 years ago

A Gallup poll showed that 30% of Americans are satisfied with teh way things are going in the United States. Suppose a sample of

weeeeeb [17]

Answer:

Mean of the binomial distribution μ= 6

Variance of the binomial distribution λ² = 4.2

Step-by-step explanation:

<u>Explanation:-</u>

The probability a Gallup poll showed that 30% of Americans are satisfied with the way things are going in the United States.

p = 30% = 0.3

q =1-p = 1- 0.3 =0.7

a sample of 20 Americans is selected as part of a study of the state of the nation

size of the sample 'n' =20

we will use binomial distribution

<u>mean</u>:-

Mean of Americans who are satisfied with the way things are going in the United States (μ) = np

μ= 20 X 0.3

μ= 6

<u>Variance</u>:-

Variance of Americans who are satisfied with the way things are going in the United States λ² = n p q = 20 X(0.3)(0.7)

λ² = 4.2

4 0

4 years ago