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Aliun [14]
3 years ago
7

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and

back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?
Mathematics
2 answers:
zimovet [89]3 years ago
7 0
Although you didn’t list any equations, here is the correct one:

15 + 5x = 25

1.5 twice a day makes it so it’s 3 miles total. Thus, you need to multiply that by 5 to get the total amount in one week.

x will solve for each evening per day.

Hope this helps!
Georgia [21]3 years ago
4 0

Answer:

Equation used to find the distance Rin ride in evening is 15 + 5x = 25

Step-by-step explanation:

In a Day Rin ride in morning and in the evening.

In Morning, Rin ride 1.5 miles to school then then ride back to house.

Total Distance ride by the Rin in morning = 1.5 + 1.5 = 3 miles

Let, In evening Rin ride x miles to park and park to home

Total Distance ride by the Rin in evening = x

According to the question,

In 5 days,

3 × 5 + x × 5 = 25

15 + 5x = 25

Therefore, Equation used to find the distance Rin ride in evening is 15 + 5x = 25

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P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.444*0.7}{0.644} = 0.483

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

There is a 0.9986 probability that a randomly selected 27​-year-old male lives through the year. A life insurance company charges ​$174 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$90 comma 000 as a death benefit. Complete parts​ (a) through​ (c) below.

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b. If the  27  -year-old  male purchases the policy, what is his expected value?

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

Answer:

a. The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $89,826

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c. The expected value for the insurance company is

E(x) = $48

Step-by-step explanation:

The probability that a randomly selected 27​-year-old male survives is given by

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The probability that a randomly selected 27​-year-old male does not survive is given by

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P(not survive) = 0.0014

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

If 27​-year-old ​male survives:

The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

If 27​-year-old ​male does not survive:

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $90,000 - 174

Value(not survive) = $89,826

b. If the  27-year-old male purchases the policy, what is his expected value?

The expected value for a 27-year-old male is given by

E(x) = P(survive)×Value(survive) + P(not survive)×Value(not survive)

E(x) = 0.9986×-174 + 0.0014×89,826

E(x) = -$48

The negative sign indicates that it is a loss from the perspective of the 27​-year-old ​male.

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

The expected value for the insurance company is given by

E(x) = 0.9986×174 + 0.0014×-89,826

E(x) = $48

The positive sign indicates that it is a profit from the perspective of the insurance company.

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