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iragen [17]
3 years ago
6

A car manufacturer is concerned that dealers conceal unhappy customers by keeping them out of surveys conducted by the factory.

The manufacturer suspects that certain dealers enter incorrect addresses for dissatisfied customers so that they do not receive the satisfaction survey that is mailed by the manufacturer. If a current survey of the 65 customers at a dealership indicates​ 55% rate its service as exceptionally​ good, can the manufacturer estimate the proportion of all customers at this dealership who feel that its service is exceptionally​ good? Can it estimate the proportion at other​ dealerships?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

Answer:

Yes, the manufacturer can estimate the proportion of all customers at this dealership who feel that its service is exceptionally​ good.

No, the manufacturer cannot estimate, the proportion of customers who rated the service as exceptionally good, about the other dealerships.

Step-by-step explanation:

A sample of 65 customers from a dealership is selected and it is determined that 55% of the customers rated the service as exceptionally good.

According to the central limit theorem if a large random sample selected from an unknown population then the sampling distribution of sample proportion (\hat p) follows a normal distribution.

Then the population proportion can be estimated by the sample proportion value.

That is, p=\hat p=0.55.

Thus, the manufacturer can estimate the proportion of all customers at this dealership who feel that its service is exceptionally​ good using the sample proportion value of \hat p=0.55.

Since the sample is selected from a specific dealership, he cannot estimate, the proportion of customers who rated the service as exceptionally good, about the other dealerships.

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Andrews [41]

The inequality to represent the temperatures at which the gas in the truck will remain in liquid form is -40 < x < 140

<h3>Part A: The inequality</h3>

Let the temperature of the gas be represented with x.

When the temperature hits −40° F (or below), the gas freezes.

This means that the gas temperature must always exceed −40° F to remain being a liquid

i.e x > −40

Also, when the temperature hits 140° F (or above), the gas evaporates.

This means that the gas temperature must always be less than 140° F to remain being a liquid

i.e x < 140

So, we have:

x > −40 and x < 140

Rewrite as:

-40 < x and x < 140

Combine both inequalities

-40 < x < 140

Hence, the inequality to represent the temperatures at which the gas in the truck will remain in liquid form is -40 < x < 140

<h3>Part B: The description of the graph</h3>

In (a), we have:

-40 < x < 140

The end points of the inequalities use a less than sign.

Less than signs are represented by open circle.

Hence, the graph would use an open circle, and intervals between -40 and 140 would be shaded

<h3>Part C: Would −49° F gas remained in liquid form?</h3>

We have:

-40 < x < 140

The number -49 is not in the range -40 < x < 140

Hence, the gas would not remain in liquid form (in fact, it would freeze because it is less than -40)

Read more about inequalities at:

brainly.com/question/24372553

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8 0
2 years ago
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erastovalidia [21]

Answer:

x = 25

Step-by-step explanation:

Given:

  • ∠A = ∠B    (Vertically opposite angles)
  • ∠A = (7x - 8)°
  • ∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

\implies (7x - 8)= (6x + 17)

Open the parenthesis:

\implies 7x - 8= 6x + 17

Add 8 both sides:

\implies 7x - 8 + 8= 6x + 17 + 8

Simplify both sides:

\implies 7x = 6x + 25

Subtract 6x both sides:

\implies 7x - 6x = 6x - 6x + 25

Simplify both sides:

\implies x = 25

7 0
2 years ago
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What is the mean, median and mode of the following data set? Please label each response.
irinina [24]

Answer:

Mean: 21

Median: 23

Mode: 27

Step-by-step explanation:

order from least to greatest:

1, 15, 18, 22, 23, 25, 27, 27, 31

mean: add all the numbers and divide by 9 bc thats how many numbers there are so that means the answer is

21

Median: to find the median you order the numbers from least to greatest and find out the middle number so in that case the median is 23

Mode: to find the mode you look to see what number is repeated multiple times, so the mode is 27

8 0
3 years ago
Which of these nonterminating decimals can be converted into a rational number?
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Answer:

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B. x^2 - 121 = 0

     x^2  = 121

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3 0
3 years ago
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