Mathematics, 31.08.2019 10:00 stodd9503

Asample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard deviation of 7¢. three of the restaurants charge 95¢, $1.00, and $1.35. determine the z-value for each restaurant.

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We have the mean, μ = 1.25 and standard deviation, σ = 0.07
The formula to find z-score is (X-μ) ÷ σ where X is the given value

The z-value for 0.95 is $\frac{0.95-1.25}{0.07}=-4.3$ rounded to 1 dp

The z-value for 1 is $\frac{1-1.25}{0.07}=-3.6$ rounded to 1 dp

The z-value for 1.35 is $\frac{135-1.25}{0.07}=1.4$ rounded to 1 dp

Answer from: Lexiah

The z value for each restaurant is -4.28, -3.57 and 1.42.

Step-by-step explanation:

Given : A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard deviation of 7¢. Three of the restaurants charge 95¢, $1.00, and $1.35.

To find : Determine the z-value for each restaurant?

Solution :

We have given,

The average cost of a glass of iced tea i.e. mean is $\mu=\$1.25$

$1=100 cent

1 cent = $0.01

7¢=$0.07

A standard deviation is $\sigma=\$0.07$

The x values given is 95¢=$0.95, $1.00, and $1.35

The formula to find the z-score value is

$z=\frac{x-\mu}{\sigma}$

For x=$0.95

$z=\frac{0.95-1.25}{0.07}$

$z=\frac{-0.3}{0.07}$

z=-4.28

For x=$1

$z=\frac{1-1.25}{0.07}$

$z=\frac{-0.25}{0.07}$

z=-3.57

For x=$1.35

$z=\frac{1.35-1.25}{0.07}$

$z=\frac{0.1}{0.07}$

z=1.42

The z value for each restaurant is -4.28, -3.57 and 1.42.

Answer from: Quest

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step-by-step explanation:

Choose the function that the graph represents

Answer from: Quest

4096 bacteria

step-by-step explanation:

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Asample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a...

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