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Anuta_ua [19.1K]
3 years ago
14

1) Last Tuesday, Regal Cinemas sold a total of 85 movie tickets. Ticket sales totaled

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

In this question, some of the data is missing so its a complete question and the solution can be defined as follows:

\bold{\text{m = matinee tickets}} \\\\\bold{\text{s = student tickets}}\\\\\bold{\text{r = regular tickets}}

By given question, calculating equations are:

\to \bold{m + s + r = 8500}............................................(a)\\\\\to \bold{5m + 6s + 8.50r = 64600}............................(b)\\\\\to \bold{s = 2m}...................(c)

Putting the equation (c) value in the equation (a) to calculate value:

m + 2m + r = 8500\\\\3m + r = 8500\\\\r = 8500 - 3m........................................(d)

Putting equation (c) and (d) value into equation (b):

5m + 6(2m) + 8.50(8500 - 3m) = 64600\\\\5m + 12m + 72250 - 25.50m = 64600\\\\-8.50m = 64600 - 72250 \\\\-8.50m = -7650\\\\m = \frac{-7650}{-8.50}\\\\m = \frac{7650}{8.50}\\\\m = 900

Putting m value into equation (c) and equation (d) to calculate its value:

Calculating the s value:

\to s = 2(900) \\\\ \to s = 1800

Calculating the r value:

\to r = 8500 - 3(900) \\\\\to r = 8500 - 2700\\\\\to r = 5800\\\\

So, the final value of "m, s, and r" are "900, 1800, and 5800".

Learn more:

brainly.com/question/2929577

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Answer: 6 dollars

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A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
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Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

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

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

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