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

HELP ME PLEASEEEEEEEEEEEEEEEEE

Answers

The answer is just x

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

Complete the remainder of the
table for the given function rule:
y = = + 7
X-8 -4 0 4
4 8
y| 5 [?] [] [] []

Answers

Answer:

x = -4, y = 6.

x = 0, y = 7.

x = 4, y = 8.

x = 8, y = 9.

Step-by-step explanation:

We are given the following rule:

[tex]y = \frac{x}{4} + 7[/tex]

To solve this question, we replace x by the asked values.

When x = -4

[tex]y = \frac{-4}{4} + 7 = -1 + 7 = 6[/tex]

So x = -4, y = 6.

When x = 0

[tex]y = \frac{0}{4} + 7 = 0 + 7 = 7[/tex]

So x = 0, y = 7.

When x = 4

[tex]y = \frac{4}{4} + 7 = 1 + 7 = 8[/tex]

So x = 4, y = 8.

When x = 8

[tex]y = \frac{8}{4} + 7 = 2 + 7 = 9[/tex]

So x = 8, y = 9.

1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?

Answers

Answer:

220.5 in³

Step-by-step explanation:

Volume = L×W×H

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

Answer:

220.5CM ^3

Step-by-step explanation:

vOLUME = L*W*H

= 10.5*7*3

=220.5

Need help with this problem (listing BRAINLIST and giving points) ​=)​

Answers

I hope this is help full to you

Only answer if you're very good at Math.

Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?

A: ( g o f) (x) = x^2 + 1

B: ( g o f) (x) = (x + 1)^2

C: ( g o f) (x) = x ^ 2 + x + 1

D: ( g o f) (x) = x^2 (x + 1)

Answers

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

Me ayudan por favor ♡?​

Answers

Answer:

Yes of course I would like to help u.

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer:

2/3

Step-by-step explanation:

Gradient of line

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

= (3-(-1))/(4-(-2))

= (3+1)/(4+2)

= 4/6

= 2/3

Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT​

Answers

Answer:

The margin of error is of 20, option B.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between the bounds, divided by 2.

In this question:

Lower bound: 200

Upper bound: 240

Margin of error:

(240 - 200)/2 = 40/2 = 20

The margin of error is of 20, option B.

96 sq meters
144 sq meters
84 sq meters
102 sq meters

Pls show work I get different answers from people every time

Answers

Answer:

84 sq meters

Step-by-step explanation:

1. Approach

In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.

2. Area of Region 1

As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.

Length * width

6 * 3

= 18

3. Area of Region 2

In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.

Length * width

= 12 * (8 - 3)

= 12 * 5

= 60

4. Area of Region 3

In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.

Length * width

= 2 * 3

= 6

5. Total area

Now add up the area of each region to find the total rea,

(Region 1) + (Region 2) + ( Region 3)

= 18 + 60 + 6

= 84

Please help me with this problem
Question: 5d - 6 + 8 -3d = 12

Answers

Answer:

d=5

Step-by-step explanation:

Answer:

d=5

Step-by-step explanation:combine like terms and subtract numbers from left side.

Which mathematical sentence most Accurately expresses the information in the problem below?

See Picture....

Answers

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is y=-2x+7

Hope this helps!

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

at first put the value of X

after that do the equation.

Step-by-step explanation:

hope it will help you

Answer:

a = 2

Step-by-step explanation:

substitute x with the number 5.

5+8a=25+5a-7a

subtract 5a from both sides

5+3a=25-7a

add 7a to both sides

5+10a = 25

subtract 5 from both sides

10a=20

divide both sides by 10

a = 2

58. Consider the graph of the line below. a State the slope of the line. b. State the x-intercept as an ordered pair. c. State the y-intercept as an ordered pair. d. Write the equation of the line in the form y = mx + b.​

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to include the graph.

PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!


Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.

1. Elean: w+148=180 , Diego: x+90=148.

We know that angle BKC=148 degrees.



I agree with : ( Elena / Diego /Both of them) .




Because:









Describe, in words, the process you would use to find the missing values:

Answers

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

what additional piece of information do we need to prove that MLN ≅ OPN

Answers

Answer:

N is the midpoint of MO

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove [tex]MLN \cong OPN[/tex]

From the attachment, we already have:

[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]

The additional information that must be true for [tex]MLN \cong OPN[/tex]  to be true is: N is the midpoint of MO

Because this piece of information proves that:

[tex]MN \simeq ON[/tex]

Which in other words makes [tex]MLN \cong OPN[/tex]

how can i answered this​

Answers

Here’s the answer, hope you understand

Answer:

hope it is helpful to you

Help please I asp !!!

Answers

Answer:

Step-by-step explanation:

1

There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?

Answers

3, 6 divided by 2 is 3

Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)

Answers

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Give an example of a composite number written as a product of primes.
Choose the correct answer below.
A. 60 = 2 x 2 x 15 or 60 = 22 x 15
B. 41 = 1x41
C. 28 = 2x2x7 or 28 = 22x7

Answers

c. 28=2x2x7

explanation: 28 is composite while 2 and 7 are prime numbers

What is X? (I forget how to do this)

Answers

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

Help me out plssss thank u

Answers

x = 44°

Step-by-step explanation:

Since AB is a diameter,

arcAC + arcCB = 180

92° + arcCB = 180

or

arcCB = 88°

ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,

x = (1/2)arcCB

= 44°

A right rectangular prism is made with 8 small cubes.
Each cube has an edge length of 1/5 inch.
What is the volume, in cubic inches, of the prism?.

Answers

Answer:

C. ⁸/125

Step-by-step explanation:

The volume of the right rectangular prism = 8 × volume of 1 cube

Volume of cube = a³

Where,

a = ⅕ inch

Volume of 1 cube = (⅕)³

= 1/125 cubic inch

✔️Volume of the rectangular prism = 8 × ¹/125

= ⁸/125 cubic inch

5th grade math. correct answer will be marked brainliest

Answers

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

Assume that when adults with smartphones are randomly​ selected, 54​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.

Answers

Answer:

Es el 60%

Step-by-step explanation:

Find the slope of the line that passes through these two points. (0, -2): (5. 3)​

Answers

Answer:

[tex]\displaystyle m = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = 1[/tex]

I need the answer the question is in the picture

Answers

Answer:

D) 1 3/4

Step-by-step explanation:

Write the quadratic function in the form g(x) = a(x-h)^2 +k
Then, give the vertex of its graph.
g(x)= −2x^2+8x-11

Writing in the form specified: gx=
Vertex:

Answers

Answer:

the ansswer is 3x+4x=24

Step-by-step explanation:

Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North market
South market
Cherries
0.6
0.5
Asparagus
0.85
0.84
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
A. South market. There is a 0.42 probability of both cherries and
asparagus being available.
B. North market. There is a 0.3 probability of both cherries and
asparagus being available.
c. South market. There is a 0.3 probability of both cherries and
asparagus being available.
D. North market. There is a 0.51 probability of both cherries and
asparagus being available.

Answers

Answer:

D (north, .51)

Step-by-step explanation:

since the numbers are higher for north, it is the right answer.

.6*.85=.51

D. North market. There is a 0.51 probability of both cherries and asparagus being available.

What is independent events ?

If the incidence of one event does not affect the probability of the other event then the events are independent of each other and called independent events.

Now, if A and B be two events which are independent,

then P(A∩B) = P(A)×P(B)

How to find which market Elena choose to maximize her chance of buying both?

In the table in given problem, the probability of cherries and asparagus are higher for north market.

For the north market,

The probability of produce cherries = P(A) = 0.6

The probability of produce asparagus = P(B) = 0.85

where A and B are the events of produce cherries and asparagus respectively.

Here, A and B are independent events.

Then probability for maximize her choice is P(A∩B) = P(A)×P(B)

                                                                                     = 0.6×0.85

                                                                                     = 0.51

∴ Elena choose north market to maximize her chance of buying both and the probability is 0.51

Learn more about independent events here :

https://brainly.com/question/11890324

#SPJ2

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