1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ymorist [56]
2 years ago
13

An insurance company sells a one-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $1000. If

she dies within one year, the company will pay $18,500 to her beneficiary. According to the company's statistics department, the probability that an 80-year-old woman will be alive one year later is 0.9581. Find the expected value of the insurance company's profit.
Mathematics
1 answer:
Gekata [30.6K]2 years ago
7 0

Answer:

The profit of the company will be $224.85

Step-by-step explanation:

Let the equation of profit be termed as E(x)

we are given

amount of purchasing the policy (let a)= $1000

probability that women will live for at least 1  year (let b) = 0.9581

amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500

the probability woman dies within one year (let d) = 1-0.9581=0.0419

the equation will be

E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419

                    = 958.1 - 733.25

                    =  224.85

You might be interested in
Alisha is drawing a map of her school. She is not able to draw the map to scale because it would be too large. Each centimeter o
arsen [322]

Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.

<h3>Working with changes of scale.</h3>

So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:

1cm = 4m

First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.

If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.

The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.

So the correct option is the first graph.

If you want to learn more about changes of scale, you can read:

brainly.com/question/9302261

4 0
2 years ago
Triangle ABC translates to triangle ABC describe the translation in terms of X and Y Directions
mina [271]

Answer:

(x + 6, y - 6).

Step-by-step explanation:

6 units to the right and 6 units down =

(x + 6, y - 6).

8 0
2 years ago
What is the simplified expression for 3 a squared + 9 a b + 5 minus 4 a squared minus 4 a b + 3? Negative a squared + 5 a b + 8
MArishka [77]

Answer:

The answer is option 1.

Step-by-step explanation:

In order to simplify the expressions, you have to collect like terms :

3a² + 9ab + 5 - 4a² - 4ab + 3

= (3a² - 4a²) + (9ab - 4ab) + (5 + 3)

= -a² + 5ab + 8

7 0
2 years ago
Read 2 more answers
Which number line model represents the expression -2+(-7)?<br> Khan academy help!!!!!
gtnhenbr [62]
-9 because 2+7=9 so the negative part oh then must be -9
6 0
3 years ago
Evaluate 16 + 20/t for t =4<br> steps please
Makovka662 [10]

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

5 0
2 years ago
Other questions:
  • Can you give me the answer
    9·1 answer
  • Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10
    7·1 answer
  • 2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.
    13·2 answers
  • Convert 86 degrees Fahrenheit to degrees Celsius?
    10·2 answers
  • Please help me on this
    13·2 answers
  • Pls answer (no bit file things) thank you :)
    5·1 answer
  • In 2000, the population of a town was 46,020. By 2002 the population had increased to 52,070. Assuming that the towns population
    5·1 answer
  • What are -7 like terms?
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=x%2By%3D-9%5C%5C%20x%2B2y%3D-25%5C%5Cwhat%20is%20value%20of%20x" id="TexFormula1" title="x+y=-
    11·1 answer
  • Evaluate 1/4c + 3d when c = 6 and d = 7
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!