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____ [38]
3 years ago
13

The owner of a coffee shop, an amateur statistician, advertises that the price of coffee on any given day will be randomly picke

d using a normal distribution with mean $1.35 and standard deviation $0.10. If a customer buys a cup of coffee, what is the probability that he will pay at least $1.50
Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer:

If a customer buys a cup of coffee, 0.067 is the probability that he will pay at least $1.50.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $1.35

Standard Deviation, σ = $0.10

We are given that the distribution of  price of coffee is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(customer will pay at least $1.50)

P(x \geq 1.50)

P( x \geq 1.50) = P( z \geq \displaystyle\frac{1.50 - 1.35}{0.10}) = P(z \geq 1.5)

= 1 - P(z < 1.5)

Calculation the value from standard normal z table, we have,  

P(x \geq 1.50) = 1 - 0.933 = 0.067 = 6.7\%

Hence, if a customer buys a cup of coffee, 0.067 is the probability that he will pay at least $1.50.

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The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of rectangular prism of length l, width w and height h is given by:

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In this problem, the standard dimensions are:

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The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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I would appreciate it if someone could help answer this problem:)
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Answer:

Sum of Interior Angles = 900°

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Step-by-step explanation:

We know that the figure is a Heptagon (a 7 sided polygon), therefore;

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