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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11.
- 2x + y -z= 2
-x-3y + z = -10
3x + 6z= -24
Hilda rented a canoe the rental rate is $20 flat fee and 12.50 per hour. She was charged a total of 67.50. Which equation could be used to find h, the number of hours she rented the canoe.
Answer:12.50×20
Step-by-step explanation:
12.50. ×20=67.50
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
"Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
"Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is
the difference in the corresponding x-values."
Answer:
The correct answer I believe is A.
A.) “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”
Step-by-step explanation:
I took the test on edge :)
Answer:
A
Step-by-step explanation:Lol
$20,000 was invested in a 3-year simple interest money market account. After 3 years,
the account balance was $32,000.
What was the interest rate for the account?
Step-by-step explanation:
Amount = principal + S. I.
S. I. = p * t * r / 100
32000 = 20000 + 20000 * 3 * r / 100
12000 = 600 r
r ( Rate of interest) = 20 %
. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, what does this mean about the solution set of the inequality?
Answer:
No Solution
Step-by-step explanation:
When we solve linear inequalities using any one the methods such as
1) Elimination or
2) Substitution
And we get the variable eliminated with a false statement remaining, this means there is no solution.
In other words the solution does not exist or the solution is not possible in the given range or the values given are false.
But when the values are true we get a solution for the variable solved.
In the elimination method we eliminate the same terms by addition or subtraction after making them equal.
And the substitution method requires putting the values of one variable in place of another.
21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)
a car slows from 44m/s to 16m/s over 3s what is its average acceleration?
A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)
Answer:
7.5 cups pf rice
Step-by-step explanation:
45 divided by 6
Multiply. 1/4 x 2/5 Express your answer in simplest form. 1/3 1/10 2/9 3/20
Answer: 1/10
Step-by-step explanation:
1/10 which means that 2/9 Was the wrong answer
Find the volume of a cylinder with the height 25cm and radius 5cm
Answer:
= 1963.5cm³
Step-by-step explanation:
radius=5
height=25
V=πr2h=π·52·25≈ 1963.49541cm³
Find the inverse of the equation f(x)=ln(x/x-2)
Answer:
inverse of f(x) = (2e^x)/(e^(x)-1)
Step-by-step explanation:
Chris can be paid in one of two ways. Plan A is a salary of $400 per month, plus
a commission of 7% of sales. Plan B is a salary of $692 per month, plus a
commission of 3% of sales. For what amount of sales is Chris better off selecting
plan A?
Answer:
$7300
Step-by-step explanation:
For Chris to select plan A, Plan A salary should be greater than that of plan B. Let the amount of sales be x
[tex]400 + \frac{7}{100} x > 692 + \frac{3}{100} x \\ \frac{7}{100} x - \frac{3}{100} x > 692 - 400 \\ \frac{4}{100} x > 292 \\ x > 7300[/tex]
28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE
Answer:
Step-by-step explanation:
16=k
The value of k from the given equation is 16.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 28=8k+12-7k.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 28=k+12
k=28-12
k=16
Therefore, the value of k from the given equation is 16.
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Consumers are paying record amounts of fees for overdrawing their bank accounts. In 2007, bankes this and credit unions collected $649 on in overdraft fees, which is $144 on more than in 2001. What is the
percent of increase?
Answer: 1.3 percent increase (to the nearest 10th
Step-by-step explanation: to figure out the percent of increase, you have to take the $144 away from 649, which is $505, then divide so:
$649 - $144 = $505
$649 / $505 = 1.28...or ~1.3
Alvin's age is three times Elga's age. The sum of their ages is 116. What is Elga's age?
years old
Answer:
Let Elga's Age be x and Alvin's age be 3x
x + 3x = 116
4x = 116
x = 116/4
x = 29
Therefore , 3x = 3(29) = 87
Elga's Age - 29
Alvin's Age - 87
expressions that are equivalent to -8.
Answer:
f(1)=5x-13=-8
Step-by-step explanation:
5-13=-8
or
f(1)=5x-13=-8
Please help this math problems
Answer:
1)85
2)-3
3)-5
4)98
5)2
6)-3
7)-5
8)-1
9)-4
10)2
11)535
Step-by-step explanation:
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
I need help and it’s due today
Answer:
45
Step-by-step explanation:
How much is X? NEED HELP RIGHT NOW 20 POINTS!!!
Choose the most appropriate name for the function:
The output from a machine depends on the input to the machine.
A. Output(input), or O(i)
B. Input(output), or O(i)
C. Input(output), or I (0)
D. Output(input), or i(0)
the intersection of a line and plane is a line
Lina rolled a die.
What is the probability that she got 3?
Answer:
1/6
Step-by-step explanation:
So asuming that she didn't roll a biased die the probability of getting a three is 1/6
This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.
HOPE THIS HELPED
If the object has leaves, then it is a tree.
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanatio
Fruits and vegatables have leaves too, but yet there not a tree
Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)
Step-by-step explanation:
(f o g)(x)
= f(g(x))
= f(2x - 3)
= |2x - 3|
Write the expression as the sine cosine or tangent of an angle calculator.
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
Answer:
$29.16
Step-by-step explanation:
Each gallon of gas is $2.16.
13.5 gallons of gas is 2.16 (13.5) = $29.16.
Given g(x)=−2x2+1, find the indicated values: g(-4)
What value of n makes the equation true?
Answer:
n=10
Step-by-step explanation:
You need n to be 10 because: y^20= (y^10)^2
Answer:
n = 10
Step-by-step explanation:
(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰
use the rules of exponents to simplify the expression.
2¹ x⁹ yⁿ * 4¹ x² y¹⁰
use the commutative property of multiplication
2¹ * 4¹ x⁹ x² yⁿ y¹⁰
add exponents of the same base:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰
back to original equation:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰ = 8 x¹¹ y²⁰
therefore
the value of n = 10
What number must be added to 36 to obtain −17?