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3 years ago

15

If a club charges an initial fee of $99 to join, and a monthly fee of $45. Write an equation that represents the cost of being a

member of the club. How much will you pay after 5 months?

1 answer:

ANEK [815]3 years ago

8 0

Equation: 99 + 45x, with x as how many ever months.

After five months:
99 + 45(5) = 99 + 225 = $324.

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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

2 years ago

For working 13 hours you earn $58.50 and $121.50 for 27 hours. What is your rate of pay in dollars per hour?

Contact [7]

Y2-y1/x2-x1
121.5-58.5/27-13
63/14
$4.5 an hour.

8 0

2 years ago

Read 2 more answers

Help please (will give brainliest)

lorasvet [3.4K]

Step 1, all the exponents are multiplied by 2

3 0

2 years ago

At the beginning of the day, stock XYZ opened at $6.12. At the end of the day, it closed at $6.88. What is the rate of change of

Natalija [7]

Answer:

C is the correct option.

Step-by-step explanation:

We have been given that

stock XYZ opened at $6.12 and it closed at $6.88 and we have find the rate of change of stock.

Change in the value =| Initial - final |

Change in the value = |6.12-6.88|

Change in the value = 0.76

Hence, the rate of change of stock is given by

$\frac{\text{Change in value}}{\text{initial value}}\times100\\\\=\frac{0.76}{6.12}\times100\\\\=12.4\%$

C is the correct option.

7 0

2 years ago

The weight of a specific type of male monkey is normally distributed with a mean of 15 pounds and a standard deviation of 3 poun

Viktor [21]

Answer:

1.33

Step-by-step explanation:

The z-score of a value is found by subtracting the mean from the value and then dividing by the standard deviation, this is the formula for the z-score.

z-score = (19-15)/3

z-score = 4/3

z-score = 1.33

The z-score for the monkey is about 1.33

7 0

3 years ago