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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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On February 1, 2020, Pat Weaver Inc. (PWI) issued 7%, $1,200,000 bonds for $1,500,000. PWI retired all of these bonds on January
OLEGan [10]

Answer:

$55,200 gain

Explanation:

Calculation to determine How much gain or loss should be recognized on this bond retirement

First step is to determine the Book value on date of sale

Book value on date of sale=$1,200,000+$127,200

Book value on date of sale=$1,327,200

Second step is to calculate the Retired value of bonds

Retired value of bonds =$1,200,000*106

Retired value of bonds=$1,272,000

Now let determine the Gain on bonds retirement

Using this formula

Gain on bond retirement=Book value on date of sale-Retired value of bonds

Let plug in the formula

Gain on bond retirement=$1,327,200-$1,272,000

Gain on bond retirement=$55,200 gain

Therefore the amount of gain that should be recognized on this bond retirement will be $55,200 gain

5 0
2 years ago
Which of the following occupations is among the 10 projected most rapidly declining U.S. occupations in terms of percentage decr
NemiM [27]

Answer:

Postal service mall sorters and processors is the correct answer for the following.

Explanation:

  • A postal worker would be someone who receives, philtres and handles mail and sells mail items.
  • These include such roles as postal hoppers and agents, mail carriers, developers, and assembly line workers.
  • Workers at the Postal Service collect and prepare mail for shipment to homes, companies and boxes at the post office.

Therefor, the Postal service is the correct answer.

6 0
3 years ago
George Jefferson established a trust fund that provides $170,500 in scholarships each year for worthy students. The trust fund e
Aleonysh [2.5K]

The returns of a capital amount to a compensation rate for depositing the money, to calculate these returns an interest rate is used by which the deposited capital is multiplied, in this case the rate is 4%.

As the money distributed is only the product of interest, then that money is the result of multiplying the capital by the interest rate, to obtain how much money Mr. Jefferson contributed, the reverse process will have to be done.

Answers

let <em>C</em> be the capital, then :

C\times4 \%  = 170500\\C\times\frac{4}{100}= 170500\\C=170500\times\frac{100}{4}\\C=4262500

The capital contributed by Mr. Jefferson was <em>$4,262,500</em>

3 0
3 years ago
Read 2 more answers
The selling price of a television is​ $1,600 and the cost to the retailer is​ $225. what is the​ retailer's gross profit from th
Anarel [89]
Find the gross profit fro the sale of the television: 
Gross profit = Sales - Cost of goods sold 
Gross profit = $1,600 - $225
Gross profit = $1,375

The gross profit of a sale is the profit from sales minus the cost it took to produce/complete the item or service. 
8 0
3 years ago
Brilliant Accents Company manufactures and sells three styles of kitchen faucets: Brass, Chrome, and White. Production takes 25,
stepan [7]

Answer:

1. Using the ABC system, for each style of faucet, compute the estimated overhead cost per unit.

Brass = [(30 x $4,900) + (900 x $150)] / 30,000 units = $9.40 per unit

Chrome = [(25 x $4,900) + (1,000 x $150)] / 50,000 units = $5.45 per unit

White = [(40 x $4,900) + (800 x $150)] / 40,000 units = $7.90 per unit

2. Compute the estimated operating profit per unit.

Brass = $40 - $8 - $15 - $9.40 = $7.60

Chrome = $20 - $4 - $3 - $5.45 = $7.55

White = $30 - $8 - $9 - $7.90 = $5.10

Explanation:

cost per setup = $465,500 / 95 = $4,900 per setup hour

cost per inspection = $405,000 / 2,700 = $150 per inspection hour

                                               BRASS      CHROME     WHITE

Projected sales in units        30,000        50,000      40,000

Per unit data: Selling price     $40              $20            $30

Direct materials                        $8                 $4              $8

Direct labor                             $15                 $3              $9

Setup hours                              30                 25             40

Inspection hours                    900             1,000           800

4 0
3 years ago
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