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Mamont248 [21]
3 years ago
7

A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their

service. The phone company has 72,000 customers. What is the range of the number of people that are satisfied?
A. 46,968 to 51,912 customers
B. 46,986 to 51,192 customers
C. 46,698 to 51,291 customers
D. 48,696 to 52,191 customers
Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

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The question is incomplete. The complete question is :

A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars $r \leq -0.23p^2+2.25p$ and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.

Solution :

Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.

A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.

In the context,

The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.

The point (6,5) is a viable solution as it satisfies both the inequalities.

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