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m_a_m_a [10]
3 years ago
5

An equipment rental business currently charges $32.00 per power tool rental and averages 24 rentals a day. The company recently

performed a study and found that for every $2.00 increase in rental price, the average number of customers decreased by one rental.
The company determined that the function f(x) = (32 + 2x)(24 – x) can be used to represent the total revenue earned from the rentals, where x represents the number of rental price increases and f(x) represents the revenue earned.
Part A: Explain what the expressions (32 + 2x) and (24 – x) represent in the given scenario.
Part B: What is the revenue after 3 rental price increases? Show your work or explain how you found your answer.
Part C: What rental price would give the maximum revenue for the company?
Mathematics
1 answer:
pogonyaev3 years ago
8 0
Part a I think sorry if I’m wrong
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Answer:

a) p(X= 2) = 0.261

b) P(x>2) = 0.566

c) P(2<x<5)  = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

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By using Poisson distribution

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λ = np = 10 X 0.24 = 2.4

a)

The probability of getting exactly '2'

The probability p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }

p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }

p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261

b) The probability of getting more than '2'

P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}

                = e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}

              = 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between  two and five

P( 2<x<5) = P(x=3)+p(x=4) == e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+

P(2<x<5) = 0.2090 + 0.125 = 0.334

4 0
3 years ago
at a local fitness center, members pay a $12 membership fee and $5 for each aerobic class. Nonmembers pay $6 for each aerobic cl
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Make an equation:

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Answer:

The Answer is B) There is a positive correlation between them.

Step-by-step explanation:

There is a positive correlation between them. Since the points on the graph tend to rise from left to right, the correlation is positive.

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