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Alik [6]
3 years ago
12

Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is no

rmally distributed with a mean of 47,900 miles and a standard deviation of 2,050 miles. The manufacturer wants to set the guaranteed mileage so that no more than 5% of the tires will have to be replaced. What guaranteed mileage should the manufacturer announce
Business
2 answers:
My name is Ann [436]3 years ago
7 0

Answer:

x = -1.6449*2050 + 47900 = 44,528

Explanation:

no more than 5 percent of the tires will have to be replaced...

then z = -1.6449

x = -1.6449*2050 + 47900 = 44,528

kogti [31]3 years ago
6 0

Answer:

The manufacturer should announce a guaranteed mileage of 44528 miles

Explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 47900, \sigma = 2050

What guaranteed mileage should the manufacturer announce

Only until the 5th percentile will have to be replaced, which is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 47900}{2050}

X - 47900 = -1.645*2050

X = 44528

The manufacturer should announce a guaranteed mileage of 44528 miles

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The corporate charter of Martin Corporation allows the issuance of a maximum of 4,000,000 shares of $1 par value common stock. D
Mrrafil [7]

The question is incomplete. Here is the complete question

The corporate charter of Martin Corporation allows the issuance of a maximum of 4,000,000 shares of $1 par value common stock. During its first three years of operation, Martin issued 3,200,000 shares at $15 per share. It later acquired 30,000 of these shares as treasury stock for $25 per share. Based on the above information, answer the following questions:

a. How many shares authorized?

b. How many shares were issued?

c. How many shares are outstanding?

d. What is the balance of the Common Stock account?

e. What is the balance of the Treasury Stock account?

Answer:

(a) 4,000,000 shares

(b) 3,200,000 shares

(c) 3,170,000 shares

(d) $3,200,000

(e) $750,000

Explanation:

(A) Number of shares that was authorized is 4,000,000

(B) Number of shares that was issued is 3,200,000

(C) The number of shares outstanding can be calculated as follows

= number of shares issued-acquired shares in the treasury stock

= 3,200,000-30,000

= 3,170,000

(D) The balance of common stock account can be calculated as follows

= number of shares that was issued-per value

= 3,200,000×$1

= $3,200,000

(E) The balance of the treasury stock account can be calculated as follows

= acquired shares in the treasury stock×price per share

= 30,000×$25

= $750,000

6 0
3 years ago
What is the inventory turnover ratio for ABC Corp. if cost of goods sold equals $5,000, current ratio equals 3, quick ratio equa
soldi70 [24.7K]

Answer:

Inventory turnover= 5.5 times

Explanation:

Current ratio is given as 3

Cost of goods sold = $5,000

Current assets = $1,800

Quick ratio= 1.5

Current ratio= current assets/ current liabilities

3= 1,800/ current liabilities

Current liabilities= 1,800/3

Current liabilities= $600

Quick ratio= Cash and Receivables/ Current liabilities

1.5= Cash and Receivables/600

Cash and Receivables= 600* 1.5= $900

Current asset= Cash and Receivables + Inventory

1,800= 900+ Inventory

Inventory= 1,800-900

Inventory= $900

Inventory turnover= Cost of goods sold/ Inventory

Inventory turnover= 5,000/900

Inventory turnover= 5.5 times

6 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
patriot [66]

The number of books that will be produced such that the costs from the two methods be the same is 4668 units.

From the complete question, the total cost of the first equation will be:

= 8.25x + 65054

The total cost for the second equation will be:

= 19.50x + 12539

Then, we'll equate both equations together and this will be:

8.25x + 65054 = 19.50x + 12539

Collect like terms

19.50x - 8.25x = 65054 - 12539

11.25x = 52515

Divide both side by 11.25

11.25x/11.25 = 52515/11.25

x = 4668 units.

Therefore, the breakeven unit will be 4668 units.

Read related link on:

brainly.com/question/25265523

5 0
3 years ago
Read 2 more answers
Jasper makes a $86,000, 90-day, 7% cash loan to Clayborn Co. Jasper's entry to record the transaction should be: Multiple Choice
ExtremeBDS [4]

Answer:

Debit Notes Receivable for $86,000; credit Cash $86,000

Explanation:

The journal entry to record the cash loan is given below;

Notes Receivable $86,000

           To Cash $86,000

(Being cash loan is recorded)

Here the note receivable is debited as it increased the assets and credited the cash as it decreased the assets

Therefore the first option is correct

8 0
3 years ago
Why does economics exist?
aleksley [76]

deals with the production, distribution, and consumption of goods and services.

6 0
3 years ago
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