A construction company has been hired to build a custom home. The builder estimates the probabilities of potential profit (or loss) as shown in the table below. What is the profit expectation for the company?

A Construction Company Has Been Hired To Build A Custom Home. The Builder Estimates The Probabilities

Answers

Answer 1

Based on the profit estimates and their probabilities, the profit expectation for this company is $34,600.

The profit expectation is a weighted average of the profits and their probabilities.

The profit expectation is therefore:

= (100,000 x 0.10) + (60,000 x 0.30) + (30,000 x 0.30) + (0 x 0.20) + (-20,000 x 0.08) + (-40,000 x 0.02)

= 10,000 + 18,000 + 9,000 + 0 - 1,600 - 800

= $34,600

In conclusion, the profit expectation is $34,600.

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Related Questions

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

=
1 pound=16 ounces}

Answers

Answer:

1 pound

Step-by-step explanation:

I’m rly stuck on this help pls :(

Im rly stuck on this help pls :(

Answers

Answer:

m=n

Step-by-step explanation:

Corresponding angles theorem - m=n

How many times larger is 2x10^6 than 4x10^2

Answers

\(2\times 10^6 \div 4 \times 10^2\implies \cfrac{2\times 10^6}{4 \times 10^2}\implies \cfrac{2}{4}\times \cfrac{10^6}{10^2}\implies \cfrac{1}{2}\times \cfrac{10^6\cdot 10^{-2}}{1} \\\\\\ \cfrac{1}{2}\times 10^{6-2}\implies \cfrac{1}{2}\times 10^4\implies \cfrac{1\times 10^4}{2}\implies \cfrac{10000}{2}\implies \text{\LARGE 5000}\)

PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.

PLEASE HELP FAST !!!!!The distribution of pitches thrown in the80 at-bats in a baseball game is as follows.Pitches

Answers

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

How to calculate a relative frequency?

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Find the slope of the line given the pair of points.
(-4,-10), (-10,5)

Answers

Answer:

15/-6   or   -2.5

Step-by-step explanation:

m=y2-y1/x2-x1

5-(-10)=15

-10-(-4)=(-6)

15/-6=(-2.5)

hope this helps :3

if it did pls mark brainliest

Answer: -5/2

Step-by-step explanation: Using the slope equation, slope = (y₂ - y₁) / (x₂ - x₁). Your slope would be -5/2 hope this helps! :)

A triangle is shown below

what is x?

A triangle is shown below what is x?

Answers

Answer:

54

Step-by-step explanation:

46+80=126 and every triangle adds up to 180 so subtract 180 from 126 (180-126=54)

Hope this helped!

Answer:

c)54 degrees

Step-by-step explanation:

A triangle has to be 180 degrees.

46+80=126

180-126=54

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A bottle of mayonnaise holds 500ml. How many litres is this?​

Answers

500 ml is 0.5 liters. Divide 500/1000 and this equals 0.5.

Help me out with this one guys
(10 points)

Help me out with this one guys (10 points)

Answers

m is 3 and -3

p is all real number

r has no solution

How much would be in an account when you turned 18 if, on the day you were born, $1,000 were deposited into the account which returned 6% simple interest, and no other deposits or withdrawals were made?

Answers

PROBLEM

Simple Interest

Method

Step 1

write out parameters

Principal P = $1,000

Rate R = 6%

Time T = 18 years

Interest = I

Step 2

write out the simple interest formula

\(\begin{gathered} I\text{ = }\frac{P\text{ X R X T}}{100} \\ \end{gathered}\)

Step 3

substitute values in the formular

\(\begin{gathered} I\text{ = }\frac{1000\text{ x 6 x 18}}{100} \\ I\text{ = }\frac{108000}{100} \\ I\text{ = \$1080} \end{gathered}\)

Amount in the account = Principal + Interest

= $1000 + $1080

= $2080

3(a – 7) = -9 + 3a.

Answers

Answer:

0=12

No Solution

Step-by-step explanation:

Hope this helps (:

Look at the attachment

3(a 7) = -9 + 3a.

What is the estimated sum of 6/7+4/7
A.1/2

B.1

C.1 1/2

D.2

Answers

Answer:

1 1/2

Step-by-step explanation:

its 100% correct.

does x = y - 2/9 show direct variation

Answers

The equation:

x = y - 2/9

Does not show a direct variation.

Does that equation show a direct variation?

A direct variation between two variables x and y can be written as:

y = k*x

Where k is a constant and it is called the constant of proportionality.

In this case, the given equation is:

x = y - 2/9

We can rewrite that as:

y = x + 2/9

Where you can see we have a constant term equal to 2/9, so no, this is not a direct variation, as in the direct variation there is no constant term.

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What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?

Answers

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

What is a function?

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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Y=3x+5 function rule

Answers

3 is the slope of the given function y=3x+5.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function rule is y=3x+5.

Let us find some x and y values to plot the graph.

x=0, then y=3(0)+5=5

x=1, then y=3(1)+5=8

x=2, then y=3(2)+5=11

x=3, then y=3(3)+5=14

x=4, then y=3(4)+5=17

Now by taking these value we plot the graph.

In the given graph slope is 3.

Hence, 3 is the slope of the given function y=3x+5.

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Y=3x+5 function rule

Ginny wants to compare the miles per gallon of 2 different cars. The cars mileage can be described as below. Find the miles per gallon (rate of change) for each car and interpret the meaning in terms of the problem. Which car has a better gan mileage?
Car A. | car b |
|No. If gallons used | 4 | 9 | 15 | f(x) =22x |
Total mileage | 76 | 161 | 285

Answers

Answer:

Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.

Step-by-step explanation:

Help please I don't know how to do this

Help please I don't know how to do this

Answers

The polynomial function be P(x) = x³ - 3x² - 10x + 24 then the factor exists (x + 3)(x - 2)(x - 4).

What is meant by polynomial function?

A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable.

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents (No division operation by a variable).

Let the polynomial function be P(x) = x³ - 3x² - 10x + 24

x³ - 3x² - 10x + 24 = (x - 4)(x²) + x² - 10x + 24

simplifying the above equation, we get

x² - 10x + 24 = (x - 4)(x) - 6x + 24

-6x + 24 = (x - 4)(-6) + 0

P(x) = (x² + x - 6)(x - 4)

simplifying the above equation, we get

= (x² + 3x - 2x - 6)(x - 4)

= [x(x + 3) - 2(x + 3)](x - 4)

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

The polynomial function be P(x) = x³ - 3x² - 10x + 24 then the factor exists (x + 3)(x - 2)(x - 4).

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darges d
16. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part
A, Part B, and Part C.
Part A: Describe how to determine if a triangle is a right triangle when given the triangle's side lengths.
Part 8: Describe how to determine if a triangle is acute or obtuse when given the triangle's side lengths.
Part C: Classify the triangle below as either right, acute, or obtuse, and show all work to explain the classification.
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12.4 m
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8.3 m
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PREVIOUS 16 of 23 NEXT
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SAVE & EXIT
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darges d16. For the three-part question that follows, provide your answer to each part in the given workspace.

Answers

(a) For right triangles, the following must be true a² = b² + c²

(b) For acute triangles, a² > b² + c²  and For obtuse triangles, a² < b² + c²

(c) The triangle is an obtuse triangle because a² > b² + c²

(a) Checking for right triangle

For a triangle to be a right triangle given the triangle's side lengths.

The square of the largest side must be equal to the sum of the square of the other sides

(b) Checking for acute or obtuse triangle

For a triangle to be a acute triangle given the triangle's side lengths.

The square of the largest side must be less than the sum of the square of the other sides

For a triangle to be an obtuse triangle given the triangle's side lengths.

The square of the largest side must be greater than the sum of the square of the other sides

(c) Classifying the triangle by side lengths

We have

Lengths = 7.2, 8.3 and 12.4

So, we have

12.4² = 7.2² + 8.3²

Evaluate

153.76 = 120.73

The correct inequality is

153.76 > 120.73

Hence, the triangle is an obtuse triangle

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can anyone pls answer this! it's really urgent! ​

can anyone pls answer this! it's really urgent!

Answers

Answer:

The answer is C

Step-by-step explanation:

You need to find a common denominator and in this case its 20. SO you change 3/4ths to 15/20 and 4/5ths to 16/20ths and 19/20 stays the same. Then you cancel out the 20 because its all the same number (I think) and you have your answer.

What is 4(23) + 5(6)

Answers

Answer:

The correct answer would be 122

Step-by-step explanation:

4(23)=92

5(6)=30

92+30= 122

Brainliest?

Answer:

Greetings! The answer would be 122

Step-by-step explanation:

step #1:

(you can use PEMDAS)

First, multiply and divide (you just have to multiply)

4(23) = 92

step #2

Next, you have to do the same. Multiply and divide (you just have to multiply)

5(6) = 30

step #3

And finally, you add and subract. (you just have to add)

92 + 30

= 122

Sorry for answering late. Hope this helps!! :)

By: ItzPadlet

A garden table and a bench cost 735 combined. The garden table costs 35 more than the bench. What is the cost of the bench?

Answers

Answer:

350

Step-by-step explanation:

Let,

 x = bench

 x + 35 = garden table

EQUATION:

   (x) + (x + 35) = 735

   2x = 735 - 35

   2x = 700

   x = 350

SUBSTITUTE:

  bench costs 350 and garden table costs 385

Hello!

Based on the info we have we can form 2 equations :

(Keep in mind x is the cost of the garden table and y is that of the bench)

x + y = 735x = y + 35

Now substitute x in the first equation.

⇒ y + 35 + y = 735

⇒ 2y = 700

⇒ y = 350

∴ The cost of the bench is \(\fbox {350}\)

I need help please :/

I need help please :/

Answers

Part (a)

Plug in y = 0 and solve for x. Use the zero product property

y = x(x+3)(x-2)

0 = x(x+3)(x-2)

x(x+3)(x-2) = 0

x = 0 or x+3 = 0 or x-2 = 0 .... zero product property

x = 0 or x = -3 or x = 2

The three roots or zeros are x = 0 or x = -3 or x = 2

================================================

Part (b)

The roots of the graph are: x = -2, x = 1, x = 3. Each root is where the graph crosses or touches the horizontal x axis.

Note how x = 0 is found in part (a), but not found here. This is one example where the graphs don't match. Another would be x = -3 is in part (a), but not here.

So that's why the graph does not match with the function in part (a)

Can anyone answer this?

Can anyone answer this?

Answers

Answer:

Ayo its Jose is the only one who was trying to get me to do the thank you usa for the support of the joy luck club the story is about a mother that lost every thing in China and whent to America to start a new life but she make her daughter do something that she don't want to be ninja in and she is not sending her

Anna had three times as many as joe bead.they had 480 beads together. Mr taylor have an equal to each of them. Zoe then had half the number of beads that Anna had. How many beads did mr taylor give them.​

Answers

Mr. Taylor gave them 1500 beads each.

What is expression?

In mathematics, an expression is a combination of numbers, variables, and operators that are written in a specific order and can be evaluated to produce a value. Expressions can be simple or complex, and they can involve basic arithmetic operations like addition, subtraction, multiplication, and division, as well as more complex operations like exponents, logarithms, and trigonometric functions.


According to given conditions :

Let's start by setting up equations to represent the information given in the problem:

Let's assume that Joe has x beads.

Then, Anna has 3x beads.

Together, Joe and Anna have x + 3x = 4x beads.

We know that the total number of beads they have is 480, so:

4x = 480

Solving for x, we get

x = 120

So, Joe has 120 beads, and Anna has 3x = 3(120) = 360 beads.

Mr. Taylor gave each of them an equal number of beads, which means he gave them each (480 + Mr. Taylor's beads) / 3 beads.

Zoe had half as many beads as Anna, so she had 360 / 2 = 180 beads.

We can now set up an equation to find how many beads Mr. Taylor gave them

(480 + Mr. Taylor's beads) / 3 = 120 + 360 + 180

Simplifying and solving for Mr. Taylor's beads, we get:

480 + Mr. Taylor's beads = 3(660)

480 + Mr. Taylor's beads = 198

Mr. Taylor's beads = 1980 - 480

Mr. Taylor's beads = 1500

Therefore, Mr. Taylor gave them 1500 beads each.

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A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

Which rule describes the x-coordinates in the translation?
x + 0
x + 6
x – 6
x + 4

Answers

Answer:

  (b)  x + 6

Step-by-step explanation:

You want the rule for the x-coordinate when the transformation is a right shift of 6 units.

Right shift

A point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.

The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:

  x ⇒ x+6 . . . . . . the x-coordinate transformation rule

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Fathi has $ 1.10 in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25 Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. After Fathi prints, what will be the balance in his printing account?

Answers

As described in the algebra the balancing amount is - 1.8375

what is algebra?

Mathematics has several different subfields, including algebra. Algebra, broadly stated, is the study of mathematical symbols and the guidelines for using these symbols in formulas.

Solution;

Balance of account = account amount - account used

                                = 1.10 - 0.25 * ( 47/2)

                                = 1.10 - 0.25* 11.75

                                = 1.10 - 2.9375

Balance of account = - 1.8375

Hence, by algebra the balancing amount of account is - 1.8375

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7. Which of these is equivalent to the expression 8+8+8+8+12?
A. 4s + 3
B. 4 (s + 3)
C. 4s ( s + 3 )
D.4+s+12

Answers

Answer:

Step-by-step explanation:

There are four 8s, so s should represent one 8.

The 12 is made up of 4 * 3, so B should be the answer.

Answer: B or 4(s + 3)

When the brackets are removed, you get 4s + 12

If y varies inversely as X and y=16 when X=4,find y when X=32

Answers

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

A young executive is going to purchase a vacation property for investment purposes. She needs to borrow $128,000.00 for 25 years at a 5.3% annual interest rate, with interest compounded monthly, and will make monthly payments of $770.82. (Round all answers to 2 decimal places.)
Create an amortization table to answer the following:

a) What is the unpaid balance after 9 months? $


b) Over the 9 months in part (a), how much total interest did she pay?

Answers

Answer:

(a) After 9 months, the unpaid balance is $125,874.09.

(b) Over the 9 months, she paid a total of $4,918.56 in interest.

To create the amortization table, we can use the formula for calculating the monthly payment of a loan:

P = (r * A) / (1 - (1 + r)^(-n))

where:

P = monthly payment

r = monthly interest rate

A = loan amount

n = total number of payments

In this case, we have:

A = $128,000.00

n = 25 years * 12 months/year = 300 months

r = 5.3% / 12 = 0.00441666667

Using the formula, we can calculate the monthly payment:

P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))

P = $770.82

Now, we can create the amortization table:

A young executive is going to purchase a vacation property for investment purposes. She needs to borrow

Classify the following triangle, Check all that apply A Equilateral B, Acute C. Scalene D. Obtuse E. Isosceles. F.Right



Classify the following triangle, Check all that apply A Equilateral B, Acute C. Scalene D. Obtuse E.

Answers

Answer:

D) obtuse

Step-by-step explanation:

Answer:

the answer is D. Obtues

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