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Keith_Richards [23]
3 years ago
7

The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m

uch would it cost today?
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

The dinner will cost $250 today.

<u><em>Explanation</em></u>

The price of a four-star dinner was $100 two decades ago and now the cost of the dinner is 250% of what it was 20 years ago.

So for finding the current cost, we will find 250% of $100 .

First we need to make 250% as decimal form after dividing it by 100. So....

250% = \frac{250}{100}= 2.50

Now we will multiply this 2.50 with $100 for getting the current cost of the dinner.

Thus, the current cost =(100* 2.50)dollar = 250 dollar



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Answer:

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Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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Six calls per hour, 2 hours. So

n = 2*6 = 12

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a. The probability of making exactly four sales.

This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
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