The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.
To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.
Now, we have,
The product doesn't fail within 2 years, and the company earns $50 from the warranty.
The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.
The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,
and the probability of the product failing within 2 years is 0.05.
Now, we have to find the expected value (E(X)):
[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]
Where:
[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95
[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50
[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05
[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)
E(X) = 0.95 * $50 + 0.05 * (-$1150)
E(X) = $47.50 - $57.50
E(X) = -$10
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.
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A rectangular table is two times as long as it is wide. If the area is 50 ft2, find the length and the width of the table.
Answer:
length = 10ft
breadth = 5ft
Step-by-step explanation:
Given,
Let breadth be x.
According to the question,
length = 2x
Area = 50ft^2
we know that,
Area of rectangle ( A) = l × b
or, x × 2x = 50 ft^2
or, 2x^2 = 50ft^2
or, x^2 = 50ft^2/2
or, x^2 = 25ft^2
or, x = 5 ft
Now,
2x = 2×5ft =10ft
Therefore, length is 10ft and breadth is 5ft.
6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .
Answer:
first option
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5
The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus
f(n) = - 5f(n - 1) if n > 1
with f(1) = 3 ← first term
Answer:
D . f(n)=f(1)=3
f(n)= -5f(n-1)if n >1
Step-by-step explanation:
i hope this help got it right on test
Express (x-4)^2 as a trinomial in standard form
Answer:
x² - 8x + 16
Step-by-step explanation:
Step 1: Write out expression
(x - 4)²
Step 2: Expand
(x - 4)(x - 4)
Step 3: FOIL
x² - 4x - 4x + 16
Step 4: Combine like terms
x² - 8x + 16
The drama club spent $8.50 per person on food for a cast party. The total cost of the flood was $229.50. How many people were at the cast party?
Answer:
229.50 ÷ 8.50= 27 people
What standard measurement would be best used to determine how much milk is in a milk carton for lunch?
Please Show Work 6x(-4) Six times negative four.
Answer:
6 x (-4)
= (-24)
Step-by-step explanation:
when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.
NOTE: if a number doesn't have a sign, it's a positive number
If you get this, you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden?
Good luck!
If you get it correct your answer will be deleted, and l will message you to continue the game. Don't play if you are not going to continue!
Answer:
Step-by-step explanation:
is it 34 because you haven't moved the bodies. however including you there's 35???
This is a simple algebra problem. The answer is 5.
We know that:
Initially, there are 34 people in the garden.
Then you enter, so now there are 35.
Then we lose 30 of these people, so the final number of people in the garden will be: 35 - 30 = 5
Finally, there are 5 people in the garden.
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A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten
Answer:
If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.
Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:
33 = 100
25 = X
(25 x 100) / 33 = X
2500/33 = X
75.75 = X
25/33 = X
Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.
which statement is true about this equation?
y = -3x^2 + 4x - 11
a) it represents a function only
b) it represents a relation only
c) it represents both a relation and a function
d) it represents neither a relation nor not function
Answer:
C
Step-by-step explanation:
it represents both a relation and a function
Answer:
The correct answer is C. It represents both a relation and a function.
Step-by-step explanation:
I got it right on the Edmentum test.
A box contains 8 white balls, 7 black balls, & 2 red balls.
a) how many red balls must be added to the box so that the probability of drawing a red ball is 8/9
b)how many black balls must be added to the original box so that the probability of drawing a white ball is 1/9?
Answer:
a) 118
b) 55
Step-by-step explanation:
a) Originally, there are 2 red balls and a total of 17 balls.
8/9 = (2 + x) / (17 + x)
8 (17 + x) = 9 (2 + x)
136 + 8x = 18 + 9x
x = 118
b) Originally, there are 8 white balls and a total of 17 balls.
1/9 = 8 / (17 + x)
17 + x = 72
x = 55
13/15 × 1 1/39 multiplying/dividing fractions help me
Before multiplying two fractions together, always try to cross-cancel.
So in this problem, the 13 and 39 cross-cancel to 1 and 3.
So we have 1/15 × 11/3 which is 11/45.
Remember, multiply across the numerators and denominators.
If h(x) = 6 - X, what is the value of (nºn)(10)?
Answer:
(h°h)(10) = 10
Step-by-step explanation:
(h°h) = 6-(6-x) = x
h(10) = x
x = 10
. What is the total number of digits
printed, if a book containing 150
pages is to be numbered from 1 to
150?
Solution :-
Total number of pages in the book = 150
Total number of one digit numbers = From 1 to 9
= 1*9
9 digits
Total number of two digit numbers = From 10 to 99
= 2*90
= 180 digits
Total number of three digit numbers = From 100 to 150
= 3*51
= 153 digits
Total number of digits printed in the book containing 150 pages
= Total number of one digit numbers + Total number of two digit numbers +
Total number of two digit numbers
= 9 + 180 + 153
= 342 Digits
Hence, total 342 digits are printed in the book which has 150 pages.
It takes Mrs. Rice 4 hours to drive the 240 miles to visit her sister in Plano.
Calculate the rate to the nearest whole mile per hour for Mrs. Rice's drive.
Given:
Time = 4 hours
Distance = 240 miles
To find:
The speed or the rate mile per hour for Mrs. Rice's drive.
Solution:
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the given values, we get
[tex]Speed =\dfrac{240}{4}[/tex]
[tex]Speed =60[/tex]
Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.
Write an equation for the description The difference between a number x and 18 is 21.
Answer:
x - 18 = 21
Step-by-step explanation:
In math, the description, "the difference between p and q" is written as ...
p - q
Then the difference between x and 18 is ...
x - 18
When we say that "is 21", we mean it is equal to 21:
x - 18 = 21
Solve each equation. Check your solutions.
5 - 3|2 + 2w|= -7
Answer:
[tex]w=1\text{ or } w=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5-3|2+2w|=-7[/tex]
First, subtract 5 from both sides:
[tex]-3|2+2w|=-12[/tex]
Divide both sides by -3:
[tex]|2+2w|=4[/tex]
Definition of Absolute Value:
[tex]2+2w=4\text{ or } 2+2w=-4[/tex]
Divide both sides of the equation by 2 for both equations:
[tex]1+w=2\text{ or } 1+w=-2[/tex]
Subtract 1 from both sides:
[tex]w=1\text{ or } w=-3[/tex]
And we're done!
To check:
[tex]5-3|2+2(1)|=-7[/tex]
Multiply:
[tex]5-3|2+2|=-7[/tex]
Add:
[tex]5-3|4|=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
And:
[tex]5-3|2+2(-3)|=-7[/tex]
Multiply:
[tex]5-3|2-6|=-7[/tex]
Subtract:
[tex]5-3|-4|=-7[/tex]
Absolute Value:
[tex]5-3(4)=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
The sample mean is an example of ____.
(A) interval estimation
(B) point estimation
(C) confidence point
(D) confidence
Answer:
B) point estimation
Step-by-step explanation:
Sample mean is an example of point estimation. It is a point estimation of the population mean.
A point estimate of a population parameter is defined as one value of a statistic. The sample mean is regarded as the best point estimate of the population mean
What is -20.3-14.34?
Answer:
-34.64
Step-by-step explanation:
-20.3-14.34
-34.64
Felisha has 34 nickels 26 dimes 21 quarters and 13 fifty cent prices. How much money does she have?
A water bird is flying 11 feet above the surface of a pond.
It dives 15 feet down and then rises 3 feet to catch a fish.
What is the new position of the bird relative to the
surface of the water?
5x - 2z = 8 -2y + 9z = 50 6x + 9y + 9z = 96
Answer:
there r algebra calulators you could use
Step-by-step explanation:
Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
What is 128,073 to the nearest thousand
James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?
he has less marbles
Step-by-step explanation:
cuz he doesAnswer:
79.83
I rounded to the nearest hundredth
A spinner with 6 equally sized slices is shown below. (2 slices are yellow, 1 is blue, and 3 are red.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?
Answer:
1/3
Step-by-step explanation:
We have 6 slices
2 are yellow
P ( yellow) = number of yellow / total
= 2/6
= 1/3
Answer:. 1/3 probability that it stops on yellow.
Step-by-step explanation:
There are 6 possible outcomes. 2 are the incidents that you are looking for.
Make a ratio 2:6 or a fraction 2/6
Then simplify or reduce the fraction. 2/6 = 1/3
The length of a rectangle is four times its width. If the perimeter of the rectangle is 80m , find its length and width.
Answer:
Width = 8 m
Length = 32 m
Step-by-step explanation:
Width = w
Length = 4w
Perimeter = 80 m
2*(length +width) = 80
2 *(4w +w ) = 80
2* 5w = 80
10w = 80
w = 80/10
w = 8 m
Width = 8 m
Length = 4 * 8 = 32 m
-3/8r + 41 = -22 solve for r
Answer:
r=168
Step-by-step explanation:
Write five hundred twenty-five thousandths as a decimal number
Please help
Answer:
.525
Step-by-step explanation:
Five hundred twenty-five thousandths is a decimal number will be 0.525.
What is a decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-
Five hundred twenty-five thousandths = 0.525
Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.
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Multiples of six and 8
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,
Step-by-step explanation:
The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.
Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)
Step-by-step explanation:
Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).
*edmentum answer*