An actuary was analyzing the loss experienced by flooding on houses and concluded that it was uniformly distributed on [0, 1000]. After taking another look at the data, he realized the loss amounts used were in real dollars. He then determined that the inflation rate was at 6.5%. Assume that the rest of his analysis still holds true. Calculate the probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Answers

Answer 1

Answer:

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed on [0, 1000].

This means that [tex]a = 0, b = 1000[/tex]

Given that the loss in nominal dollars is greater than 200.

This means that [tex]a = 200[/tex]

Calculate the probability that the loss in nominal dollars is less than 1000

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]P(X < 1000) = \frac{1000 - 200}{1000 - 200} = 1[/tex]

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.


Related Questions

Type the correct answer in each box. Use numerals instead of words.
Consider function h.

Answers

Answer:

33

Step-by-step explanation:

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

You find that the going rate for a home mortgage with a term of 30 years is 7% APR. The lending agency says that based on your income, your monthly payment can be at most $770. How much can you borrow? (Round your answer to the nearest cent.)

Answers

Answer:

115736.83

Step-by-step explanation:

Effective rate:

.07/12= .005833333333

[tex]770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83[/tex]

Step-by-step explanation:

Answer:

115736.83

Step-by-step explanation:

Effective rate:

.07/12= .005833333333

770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83770(

.005833333333

1−(1+.005833333)

−30∗12

)=115736.83

Can someone help me?

Answers

Answer:

The slope is 2

Step-by-step explanation:

Slope formula:

m=(y2-y1)/(x2-x1)

Given:

y2 = -10

y1 = -6

x2 = 2

x1 = 4

Work:

m=(y2-y1)/(x2-x1)

m=(-10 + 6)/(2 - 4)

m= (-4)/(-2)

m = 2

Will mark brainlest!
formula of (x+1)cube

Answers

Answer:

(x+1)^3=x^3+3x^2+3x+1

Answer:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

Step-by-step explanation:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]

i need help, this is for a final

Answers

Step-by-step explanation:

Since the two triangles are similar

Then the ratio of sides are equal

Then MK:ML =JH:JI

Sub in this and you will get x =64.1

Find Q
A. 40
B. 80
C. 130
D. 260

Answers

Answer:

The answer is C!!!!!!!!

What is the area of the parallelogram shown

Answers

9514 1404 393

Answer:

  60 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

The base of this parallelogram is 15 units, and its height is 4 units. The area is ...

  A = (15 u)(4 u) = 60 u²

The area is 60 square units.

Angles D and G are complementary. What statement must always be true about angles D and G?

Answers

Answer:

They will never intersect. I'm pretty sure that is right

Calculator
What is M
Put your answer in the box
°

Answers

Answer:

2

Step-by-step explanation:

9m + 25m + 22 = 90

34m = 90 - 22

34m = 68

m = 68 / 34

m = 2

Answer:

m = 2

Step-by-step explanation:

GLI forms a 90 degree angle

Set your formula up as

90 = 9m + 25m + 22

90 - 22 = 34m

68 = 34m

68/34 = m

2 = m

solve the following equation algebraically please

Answers

Answer:

b.    x = ±2

Step-by-step explanation:

3x² = 12

Divide both sides by 3

x² = 4

Taske the square root of both sides

x = ±2

x + 2∕5 = 1∕3 for x.

Answers

Answer:

?

Step-by-step explanation:

?

A number that has both a whole number and a fraction is called a(n)

O A) improper fraction
OB) mixed number
OC) whole fraction
OD) combined number​

Answers

Answer:

mixed number <3

Step-by-step explanation:

vause it is

a walking path across a park is repersented by the equation y=-2x-7. A new path will be built perpendicular to this path the paths will intercept at the point (-2,-3) identify the equation that represents the new path

Answers

Answer:

y + 3 = (1/2)(x + 2)

Step-by-step explanation:

The slope of the original path is -2.  Any new path perpendicular to this one will have a slope which is the negative reciprocal of -2, which here is 1/2.

Use the point-slope formula y - k = m(x - h):

y - (-3) = (1/2)(x - (-2)), or

y + 3 = (1/2)(x + 2)  represents the new path.

Rubber balls are packaged in a box with dimensions 8.5 cm, 5 cm, 5 cm.
Each ball has a diameter of 3 cm. If there are a dozen balls in the box, how
much space in the box is not occupied by the rubber balls? Round your
answer to the nearest tenth.

Answers

Answer:

42.9 cm^3

Step-by-step explanation:

Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3

Radius of a ball = 1.5 cm

Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3

Volume of the balls = 14,137167 x 12 = 169,646003 cm^3

Final answer = 212.5 - 169,646003 = 42.9 cm^3

factorize,
m
[tex] {m }^{2} - 40 + 6m[/tex]

Answers

Answer:

Step-by-step explanation:

m^2-40+6m

=m^2+6m-40

=m^2-(10-4)m-40

=m^2-10m+4m-40

=m(m-10)+4(m-10)

=(m+4)(m-10)

If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?

Answers

Answer:

The value of h(g(3)) is 17.

Step-by-step explanation:

We are given these following functions:

[tex]g(x) = x^2 - 5[/tex]

[tex]h(x) = 7x - 11[/tex]

h(g(3)) ?

[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]

At x = 3

[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].

The value of h(g(3)) is 17.

I NEED THIS QUICK!!

Tanisha paid $35 for 7 movie tickets.

How much would 15 movie tickets cost?


$55

$60

$65

$75

Answers

Answer:

$75

Step-by-step explanation:

$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!

PLEASE HELP !! Whoever gets it right gets brainliest

Answers

Answer:

21

Step-by-step explanation:

4x-2=3x+19

4x-3x=19+2

x=21

Answer:

x = 21

Step-by-step explanation:

These are opposite angles and are therefore equal.

Equate the two angles to solve for x.

4x-2 = 3x+19

subtract 3x-2 from either side (i.e. numbers on the left, and variables on the right)

4x-2 -(3x-2) = 3x+19 - (3x-2)

x = 21

check: 4x-2= 82, 3x+19=82, so solution is good.

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plates from 1 to 30 on his press. If he uses x metal plates, they will produce x copies of the poster with each impression of the press. The metal plates cost $20.00 to prepare, and it costs $125.00 per hour to run the press. If the press can make 1000 impressions per hour, how many metal plates should the printer make to minimize costs

Answers

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

[tex]\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}[/tex]

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

The total cost can be computed as:

[tex]C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)[/tex]

[tex]C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)[/tex]

At C'(x) = 0

[tex]\dfrac{12500}{x^2} = 20[/tex]

[tex]\dfrac{12500}{20} = x^2[/tex]

[tex]x^2= 625[/tex]

[tex]x = \sqrt{625}[/tex]

x = 25

[tex]C'' (x) = -12500 \times \dfrac{-2}{x^3} +0[/tex]

[tex]C'' (x) = \dfrac{25000}{x^3}[/tex]

where; x = 25

[tex]C'' (x) = \dfrac{25000}{25^3}[/tex]

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

A) Abdul invests 400$ at 6.05% per year simple interest, calculate how much interest Abdul receives

B) Samia receives 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places

Answers

Answer:

$24.20

amount invested = $356

Interest = $44

Step-by-step explanation:

Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places

Simples interest = amount invested x time x interest rate

400 x 0.065 x 1 = $24.20

b. interest = amount received - amount invested

Amount invested = amount received / (1 + r)^n

r = interest rate

n = number of years

400 / (1.06)^2 = 356

Interest = 400 - 356 = $44

34/4 as mixed fraction?​

Answers

Answer:

8/24

Step-by-step explanation:

Answer:

Mixed fraction: 8 1/2

Step-by-step explanation:

34/4

Divide 34/4 = 8.5

.5 = 1/2

Mixed number form: 8 1/2

solve the following equation algebraically please

Answers

Answer: A

Step-by-step explanation:

4x^2-400=0

square roots and solving quadratics

Answers

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

Solve lxl + 7 < 4.
{x l x < -11 or x > -3)
{x 1-3

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Subtracting 7 from both sides gives you ...

  |x| < -3

The absolute value cannot be negative. There is no solution.

find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm​

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism.

Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]

[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

432 cubic centimeters

Volume of a rectangular prism is
Length x width x height

9 x 6 x 8 = 432

Volume is measured in cubic centimeters, in this case.
Hope this helps!

.....................................:.

Answers

Answer:

..........................................................................................................................................................................

Answer:

um..BG should also be equal to 12 I guess

45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!

HELP FINALS TODAY :(

Answers

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

Answer:

45 is 55% of 82 and 520% of 5 is 26.

Step-by-step explanation:

First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.

Value-Mart had 2,371 customers last week. Each customer donated $2 to the food bank. How much money did Value-Mart raise for the food bank? *

Answers

9514 1404 393

Answer:

  $4,742

Step-by-step explanation:

The total of donations is the product of the number of donations and the amount of each.

  (2371 customers) × ($2/customer) = $(2371×2) = $4742

Value-mart raised $4,742 for the food bank last week.

_____

You could find the total donated by adding the 2371 donations. Multiplication was invented to make repeated addition easier. When the sum consists of 2371 instances of $2, we can find the total by multiplying $2 × 2371.

which statement is true?

Answers

Answer:

The slope of function A is greater than the slope of function B

hope it is helpful to you

Function a is greater than the function b

please i need help!!!!!!!

Answers

Answer:

m∠NPQ=2×m∠NRQ

or m∠NRQ=1/2×m∠NPQ

=1/2×90

= 45

m∠NRQ=45

-----------------------hope it helps...have a great day!!
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