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notsponge [240]
3 years ago
8

Suppose that you own a store that sells a particular stove for $1,000. You purchase the stoves from the distributor for $800 eac

h. You believe that this stove has a lifetime which can be faithfully modeled as an exponential random variable with a parameter of lambda = 1/10, where the units of time are years. You would like to offer the following extended warranty on this stove: if the stove breaks within r years, you will replace the stove completely (at a cost of $800 to you). If the stove lasts longer than r years, the extended warranty pays nothing. Let $C be the cost you will charge the consumer for this extended warranty. For what pairs of numbers (C,r) will the expected profit you get from this warranty be zero. What do you think are reasonable choices for C and r? Why?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer

The answer and procedures of the exercise are attached in the following archives.

Explanation  

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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if twice the opposite of a number us increased by 5, the result is the opposite of the number. What is the number?
Likurg_2 [28]

Answer:

If twice the opposite of a number increased by five, then the result is the opposite of a number.    

The asiest way to solve this is the guess and check method. It is asking you what a number doubled then by adding five is the opposite of that number. Now go through a few SINGLE digit numbers to try and solve. I hope this helps.

6 0
3 years ago
If seven is added to four times a number, the result is twenty-five more than the number. Round your answer to the nearest integ
posledela

Answer:

6

Step-by-step explanation:

first, set up the equation

4x+7 = x+25

solve for x:

4x = x + 18

3x = 18

x = 6

have a wonderful day! :)

7 0
3 years ago
3 more than 3 times a number is equal to 12 less than 6 times the number. what is the number?
lorasvet [3.4K]

Answer:

Step-by-step explanation:

18

5 0
3 years ago
Read 2 more answers
A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6
Zielflug [23.3K]

Answer:

The interval (-0.0199, 0.0510) represents the region of values where the true difference (in population terms now) between the initial proportion of registered voters that favour candidate X and the proportion of registered voters that favour candidate X just before election can take on with a confidence level of 90%.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence. It is usually obtained from the sample.

p₁ represents the proportion of registered voters that favour candidate X in the initial poll, way before the election.

p₂ represents the proportion of registered voters that favour candidate X in the poll just before the election.

So, for this question the confidence interval for the true difference between the population proportion of registered voters that favour candidate X way before the elections and the population proportion that favour candidate X just before the election lies within (-0.0199, 0.0510) with a confidence interval of 90%.

Confidence interval is calculated mathematically as thus:

Confidence Interval = (Difference in Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the difference in the two sample proportions.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value = 1.645 (obtained from the z-tables because the sample size is large enough to ignore that information about the population standard deviation isn't given and t-critical value approximates z-critical value)

Hope this Helps!!!

4 0
3 years ago
What is the volume of a square pyramid with a base length of 6cm and a height of 9cm?
emmainna [20.7K]
Answer:
Volume = 108 cm ³

Explanation:
For a square pyramid, the volume can be calculated as follows:
Volume = \frac{1}{3} * area of base * height
Volume = \frac{1}{3} * side² * height
We have:
side length = 6 cm
height = 9 cm
Therefore:
Volume = \frac{1}{3} * 36 * 9 = 108 cm ³

Hope this helps :)
8 0
3 years ago
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