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MariettaO [177]

3 years ago

8

I want to build a deck around my pool that is the same width all the way around. If the pool is 8meters by 10meters and I have e

nough wood for 280 m^2 square of deck how wide can I build it

1 answer:

anastassius [24]3 years ago

4 0

Answer:

Step-by-step explanation:

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Isabel joins a service to download movies. She pays $2 per movie, but she gets the first 5 movies for free. How many movies, m,

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The first question the answer to it is 30.

To do that divide 50/2 and see how many movies she can buy, which 25, then add the 5 free movies which gives you 30.

And the second part of the question I think is missing a picture or something.

3 0

4 years ago

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Find the measure of the angle indicated in bold.

inessss [21]

First isolate the x. Always remember that the way you do this is the opposite of the what is happening to the number you want to move.
You want to move the -5 from the left side to the right side by doing the opposite and adding it to both sides.

Like: 27x-5=-5+11

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3 years ago

How to find the exterior angle

Vlad1618 [11]

X + 12 + X - 6 = X + 50

2X + 6 = X + 50

X = 44

44 + 50 = 94

To check you can substitute X into the problem.

44 + 12 = 56

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44 + 50 = 94

56 + 38 = 94

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3 years ago

HELPPPPP!!!!!!!!!<br>Determine the slope of a line whose x-intercept is -6 and y-intercept is -4.

Margaret [11]

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3 years ago

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du

lara [203]

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that $\mu = 40, \sigma = 16$

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

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

$Z = \frac{24 - 40}{16}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

$E = 0.8413*20 - 0.1587*10 = 15.239$

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

5 0

3 years ago