I think it is possibly point b
A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.
If they offer a 2 year extended warranty for $11, what is the company's expected value of each warranty sold?
Answer:
The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.
Step-by-step explanation:
Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.
Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)
On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.
Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)
The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].
The expected revenue of the company on this warranty would be:
[tex]\mathbb{E}(200\, X + 11)[/tex].
Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:
[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].
Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.
HELP ......,,,,,...,,.....
Answer:
6. Not similar.
7. Not similar.
8. Not similar.
Step-by-step explanation:
6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.
7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.
8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.
PS. It would mean the world to me if you could mark me brainliest!
Side note- I am not a professional, I just have done this a few months in the past! Best of luck!
Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)
if (a+b)+(a-b)i=7+2 find a and b
Answer:
a = 4.5
b = 2.5
Step-by-step explanation:
The question is incomplete.
Complete question
If (a+b)+(a-b)i=7+2i find a and b
Compare the terms on both sides
a+b = 7
a-b = 2
Add both equations
a+a = 7+2
2a = 9
a = 9/2
a = 4.5
Recall:.
a+b = 7
4.5+b = 7
b = 7-4.5
b = 2.5
Which of the following inequalities does the graph represent
Answer:
di KO kaya sorry kahit ako dipa KO talks dyan
15% of the students in the library have brown eyes. If there are 9 students with brown eyes, How many students are in the library
Answer:
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
ENGLISH
If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60
SPANISH
Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60
Hope this will help you
Please help me with this question what’s 84 + 6 1/3
Answer:
90 1/3
Step-by-step explanation:
Answer: Mixed number form = 90 1/3
Decimal form = 90.3 with a repation bar
Actual Form = 271 / 3
Step-by-step explanation:
Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.
Answer:
Step-by-step explanation:
700+400+8000
9100
Answer: 9,100
Step-by-step explanation:
[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]
Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?
Step-by-step explanation:
chcjdhxh bdb jxnbshxjkqld gnnfncjfjejxjxcznenxjxjxjjcfkjefjrjrjrkufcnnxn mfkfmkekndj
Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?
Answer:
5 hotdogs
Step-by-step explanation:
Deduct the price of French fries + drink from the total amount of money he has.
5.00 - 0.80 - 0.95 = 3.25
Divide the amount of money left with the amount of money each hotdog cost.
3.25 ÷ 0.65 = 5
(5 pts) It takes Jack 3 hours longer to write holiday cards than it takes Jill. Together, they can write them
in 2 hours. How long does it take each person to write the cards working alone?
Answer:
Jack needs 6 hours and Jill needs 3 hours.
Step-by-step explanation:
Let's define the variables:
X = rate at which Jack can write a holiday card.
Y = rate at which Jill can write a holiday card.
Each of them will need a given time to write a card, such that:
X*T = 1 card
We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours
Then we have the equation:
Y*(T - 3 hr) = 1 card
And we also know that when they work together, they need 2 hours, then:
(X + Y)*2 hr = 1 card.
So we have 3 equations:
X*T = 1 card
Y*(T - 3 hr) = 1 card
(X + Y)*2 hr = 1 card.
Now let's ignore the card part just for the equations, then we get:
X*T = 1
Y*(T - 3 hr) = 1
(X + Y)*2 hr = 1
To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:
T = 1/X
Now we can replace this in the second equation to get:
Y*((1/X) - 3hr) = 1
So now we have two equations:
(X + Y)*2 hr = 1
Y*((1/X) - 3hr) = 1
We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:
Y*2hr = 1 - X*2hr
Y = (1 - X*2hr)/2hr
Now we can replace this in the other equation to get:
((1 - X)/2hr)*((1/X) - 3hr) = 1
Now we can solve this for X:
((1 - X)/2hr)*((1/X) - 3hr) = 1
(1 - X)*((1/X) - 3hr) = 2 hr
1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr
1/X - 3hr - 2hr + X*6hr^2 = 2hr
1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr
1/X + X*6hr^2 = 7hr
Now we can multiply all by X to get:
X/X + X*(X*6hr^2) = 7hr*X
Now we have the quadratic equation:
(6hr^2)*X^2 - (7hr)*X + 1 = 0
We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:
[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]
Then we have two solutions:
X = (7hr + 5hr)/12hr = 1 hr^-1
And this is the rate at which Jack writes a card, so the actual units are:
X = 0.167 card/hr
Then Jill's rate will be:
Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr
So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:
X = (7hr - 5hr)/12hr = 0.166... hr^-1
And this is the rate at which Jack writes a card, so the actual units are:
X = 0.166... card/hr
If we have this, then the rate for Jill will be:
Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr
Then we have:
X = 0.167 card/hr
If we use the first equation, we get:
(0.166... card/hr)*T = 1 card
T = 1 card/((0.166... card/hr)) = 6 hours
Then Jack needs 6 hours to write a card.
And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.
PLEASE HELP IM ON A TIME LIMIT!!!
Answer:
i answered the other question like this check your other question for the answerrs
Step-by-step explanation:
help asap, i will mark brainliest!
Answer:
150m
Step-by-step explanation:
[tex]Length=120-(-30)=120+30=150m[/tex]
Of 20 students, 9 are girls
% of girls
% of boys
Answer:
45% and 55%
Step-by-step explanation:
Total student = 20
No of Girls = 9
No of boys = Total student - No of Girls
=20-9
=11
Percentage of Girls = (No of Girls / Total student) * 100
= (9/20)*100
= 45 %
Percentage of Boys = (No of Boys/ Total student) * 100
= (11/20)*100
= 55 %
Regina earns 45 points every time she shops on a certain website. She needs a total of 2,880 points to receive a free item. So far, she has earned 540 points. How many more times will Regina have to shop on the website in order to earn the additional points she needs for a free item?
A.
18
B.
38
C.
52
D.
64
Answer:
C. 52
Step-by-step explanation:
You can simply subtract 540 from the total amount of points
2880-540=2340
and then you can divide that by the number of points she gets every time she shops on the website
2340÷45
Which would equal 52
So, C. 52 would be the correct answer.
Hope this helps!
Norton Corp. does not elect the fair value option for recording its financial liabilities. The discount resulting from the determination of a note payable's present value should be reported on its balance sheet as a(n)
Direct reduction from the face amount of the note.
Deferred charge separate from the note.
Deferred credit separate from the note. Addition to the face amount of the note.
Answer:
más bien ya otro día sera
I need help with this question
Answer:
j-10=35
j is 45
Step-by-step explanation:
35+10=45
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
y=x+69
Answer:
y=x+69
Step-by-step explanation:
5+69=74
6+69+75
etc.
Is the relation a function ?
The radius of a parachute is shown below.
What is the diameter of the parachute? What is the circumference of the parachute?
Step-by-step explanation:
Diameter is 6 ft
3 ft + 3ft
Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6
lil fun for yall
what is the answer to this step by step?
Answer:
194332.125 is the amount of interest
Step-by-step explanation:
Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.
Step-by-step explanation:
oatmeal 12/8 = 1.5 per student
apple 27/6 = 4.5 per student
carmine gets 1.5 + 4.5 = 6 muffins
Answer:
Step-by-step explanation:
(12 oatmeal)/(8 students) = (1.5 oatmeal)/student
Each student gets 1.5 oatmeal muffins.
(27 apple)/(6 students) = (4.5 apple)/student
Each student gets 4.5 apple muffins.
Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins
There are 15 books on a shelf. 9 of these books are new. The rest of them are used.
Answer: 7
Step-by-step explanation:
15-9 =
9 10 11 12 13 14 15
1 2 3 4 5 6 7
7 books were used.
how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%
Answer:
1100 brainliest please
Step-by-step explanation:
1000×2×0.05=100
1000+100=110
help pls will give brainiest
Answer:
A= (3,3)
B= (4,1)
C= ( 1,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A 2, -1
B 1, -3
C 4, -4
Hope this helps!
Thanks for Brainliest!
what must be added to each term of the ratio 3:5, so that it becomes 4:5
Answer:
5 must be added to both the terms to get the ratio 4:5.
Step-by-step explanation:
(3+x)/(5+x)=4/5
Therefore,
15+5x=20+4x
=5x-4x=20-15
=x=5
I hope it's helpful!
Answer:
3+y/5+y=4/5
let y be the no.to be added
5(3+y)=4(5+y)
15+5y=20+4y
-5= -y
y=5
4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13
Answer:
I speak English.
Step-by-step explanation:
I am from America.
... me no like math...
Answer:
i got 61.27
Step-by-step explanation:
quater circumference [tex]=\frac{3.14 * 22}{4}[/tex]
= 17.27
20+2+2+(20-11)+11+17.27 = 61.27
Evaluate the quotient of 1.05 x 103 and 1 x 103
Answer:
for the 1st one it is 108.15x
and the 2nd it is 103x
Step-by-step explanation: