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stealth61 [152]
2 years ago
11

An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of

age 20. If experience shows that the probability that a person will die at age 20 is 0.0015, how much can the company expect to pay out during the year the policies were written? The company can expect to pay out _____ $ over the year after the policies were written.
Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

The company can expect to pay out $45,000 over the year after the policies were written.

Step-by-step explanation:

This can be determined as follows:

The probability that a person will die at age 20 = 0.0015

Revenue from 100 policies = 100 * $75,000 = $7,500,000

Revenue from 500 policies = 500 * $25,000 = $12,500,000

Revenue from 1000 policies = 1000 * $10,000 = $10,000,000

Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000

Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000

Therefore, the company can expect to pay out $45,000 over the year after the policies were written.

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How many solutions does the following equation have? -3u=-3u-10
olga2289 [7]

Answer:

There are no solutions

Step-by-step explanation:

-3u=-3u-10

Add 3u to each side

-3u+3u=-3u+3u-10

0 = -10

This is never true so there are no solutions

3 0
3 years ago
(sec 12A - 1)/(sec 6A -1) = tan 12A / tan 3A
Ganezh [65]
Can I use dis... do u know how to use dis?

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3 years ago
What is the surface area of the box if it is scaled up by a factor of 10? THE SURFACE AREA IS 432CM. LEGHT 12CM. WIDTH 6CM. HEIG
marissa [1.9K]

The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.

The area of the larger box is 100×432 cm² = 43,200 cm².

6 0
3 years ago
caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe.
Hitman42 [59]

Answer:

18/95

Step-by-step explanation:

What is probability?

Probability is simply the chances of something occuring.

As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes

Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.

In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action

Understanding the question

Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.

So here # of favorable outcomes = # of blue caps = 9

and

total number of outcomes = total # of caps = 7 + 4 + 9 = 20

Finding the probability

<em>For </em><em>first </em><em>draw</em>

First let's find the probability that caleb will select a blue cap the first time.

We know that probability = # of favorable outcomes / total # of outcomes

We also know that # of favorable outcomes = 9 and total # of outcomes = 20

Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20

<em>For </em><em>second </em><em>draw</em>

Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps

This results us in having # of favorable outcomes as 8 and total # of outcomes as 19

Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19

Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities

From doing so we acquire 9/20 * 8/19 = 18/95

4 0
2 years ago
Read 2 more answers
A shirt is regularly priced at 42$. It is on sale for 15% off of the regular price. What is the sale price of the shirt ?
gulaghasi [49]

Answer:

$35.7

Step-by-step explanation:

you can convert 15% to a decimal by dividing by 100.

15/100 = .15

if you multiply the decimal by the cost of the shirt you get how much the discount is.

0.15 * $42 = 6.30

so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.

$42 - $6.30 = $35.70 that is the sale price of the shirt.

4 0
2 years ago
Read 2 more answers
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