Ask Question
12 March, 23:10

A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new restaurant charges a price for iced tea that has a z-value of - 1.25, then what is the tea's actual cost?

+3
Answers (2)
  1. 13 March, 00:45
    0
    The tea's actual cost is $116.25

    Step-by-step explanation:

    * Lets revise how to find the z-score

    - The rule the z-score is z = (x - μ) / σ, where

    # x is the score

    # μ is the mean

    # σ is the standard deviation

    * Lets solve the problem

    - The average cost of a glass of iced tea is $1.25

    - The standard deviation of it is 7 cents

    - A new restaurant charges a price for iced tea that has a

    z-value of - 1.25

    * Lets change the average cost to cent

    ∵ $1 = 100 cents

    ∴ The average cost of a glass of iced tea = 1.25 * 100 = 125 cents

    ∵ z = (x - μ) / σ

    ∵ z = - 1.25

    ∵ μ = 125

    ∵ σ = 7

    ∴ - 1.25 = (x - 125) / 7 ⇒ multiply both sides by 7

    ∴ - 8.75 = x - 125 ⇒ add 125 to both sides

    ∴ 116.25 = x

    * The tea's actual cost is $116.25
  2. 13 March, 02:33
    0
    Answer: It is actually 1.16$ (The guy below accidentally added an extra 1)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers