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.
if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%
Answer:
A. original price: 16830
B. Profit gain: 918
10%=1530
6%=918
#gamer
What is the square root of -24
1. Each letter in VALENTINE is written on a separate piece of paper and put into a bag.
You randomly choose a piece of paper from the bag. Find the probability of choosing an
E
Answer:
2/9
Step-by-step explanation:
two e with a total of 9 letters
HELPPPPP!!!!!!!!!!!!!!
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
50 PONITS
If you travel 82 km in 40 minutes, what is your speed in km/h?
Answer:
123 km/h
Step-by-step explanation:
the formula for the unit rate would be 82/40
82 divided by 40 is 2.05km/m
Then you have to convert 2.05 km/m to km/h
multiply 2.05 times 60 and your answer is 123 km/h
Answer: 123 km/h
Step-by-step explanation:
What is the opposite of this integer: 180,000
Answer:
-180000
Step-by-step explanation:
Given the linear system:
5x + 3y = 17
-8x - 3y = 9
What is the correct formula for the solution to the linear system?
Answer:
Step-by-step explanation:
For this question, it's C
F(x) = 3 + 4x G(x) = 6x + 7
I) find fg(x)
Answer:
See the attached document
72 paper clips to 63 paper clips
Answer:
72>63
Step-by-step explanation:
what is the rest of the question like in what form
LIBBY NEEDS TO MAKE 1/2 OF HER CHILLI RECIPE FOR THE SCHOOLS CHILI CONTEST.IF LIBBY USUALLY NEEDS 2 CUPS OF CORN FOR HER CHILI RECIPE,HOW MUCH CORN WILL SHE NEED FOR THE CHILI CONTEST?
A. 1 CUP
B. 1/4 CUP
C. 4 CUPS
D. 2/4 CUP
Answer:
a
Step-by-step explanation:
because she only need a half of it
Answer:1/4
Step-by-step explanation:
Sam has saved 1400 cents from selling lemonade how many dollars does Sam have
Answer: $14.
Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.
find the are area of the square ABCD
Answer:
196 m2
Step-by-step explanation:
Answer:
The area of the square ABCD with side of 14m
is 196 m²
Step-by-step explanation:
Area = a*a = 14 x 14 = 196 m²
a is side
Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?
Answer:
1 if u cut all of them in half
Step-by-step explanation:
Can someone help me with this?
Answer:
ᴀ.)
Step-by-step explanation:
Hope you get it right!! :)
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
Can somebody please answer the question giving brainliest!
Answer:
A counter clockwise
Step-by-step explanation:
The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?
Answer:
125 cubic cm
Step-by-step explanation:
Length^2 = 25 so each side length is 5cm
5^3 = 125 cubic cm
please help me with geometry question :)
Given:
The graph of a triangle ABC.
A line is parallel to AC and passes through the point D.
To find:
The point at which the intersection of this parallel line be with the line BC.
Solution:
From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).
Slope of AC is
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{1-7}{9-1}[/tex]
[tex]Slope=\dfrac{-6}{8}[/tex]
[tex]Slope=\dfrac{-3}{4}[/tex]
Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].
The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex] ...(i)
From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.
Putting x=9, we get
[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{16}{4}[/tex]
[tex]y=4[/tex]
Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).
PLEASE HELP FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? - 466
99
36h
2x2 – 6y?
What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane
•9
•12
•14
•15
Answer:
15 units
Step-by-step explanation:
[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]
[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]
[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]
Hope it helps....
Solve for x 4(2x+3)
I’ll mark brainlyest
Answer:
=2x5+3x4 plus brainliest please
Step-by-step explanation:
=(x4)(2x+3)
=(x4)(2x)+(x4)(3)
=2x5+3x4
Answer:
You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
8x + 12
I need help on this?
Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his pizza. How much pizza was left. Answer to the simplest form.
Answer:
1/8
Step-by-step explanation:
What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:
6/8. 4/8, 7/8
We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.
Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.
Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.
Add: 1/8 + 2/8 + 4/8 = 7/8
This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.
Find the area of the figure.
(Simplify Your Answer)
Answer:
7550 meter square
area of rectangle = Length x breadth= 130 x 20
= 2600 meter square
area of triangle = 1/2 x base x height
1/2 x (130-20)m x (130-40)m
1/2 x 110m x 90m
55 x 90
4950 metre square
area of rectangle + area of triangle
4950 + 2600
7550 meter square
Simpify the expression.
5+4z-2z
Simpilfied expression
Answer:
2z + 5
Step-by-step explanation:
you have to combine like terms
subtract 4z - 2z and you get 2z
the number with the variable next to it goes first not the constant
2z + 5
the variable is z and the constant is 5 because it doesn't have variable next to it
hope this makes sense and helps :)
tell me if you have any questions
Step-by-step explanation:
Here as the like terms only are 4z and -2z so,
We simplify the like terms:
5 + 4z - 2z. [B.O.D.M.A.S rule] (subtraction only)
= 5 + 2z (Ans)
At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
number of people. The number of people who ate chicken wings was 2. Write and solve an equation
to find the number of people at the party. Let x represent the number of people at the party. Use pencil
and paper. Write a one-step equation that has the same solution.
Answer:
3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(
items? How many of each
ina
3.Reina has 40 pieces of bananas, 48 pieces of atis and 36 pieces of chicos. She
wants to put them equally in the plastic bag. How many possible number of
each fruit will be placed in the plastic bag?
Answer:
36
Step-by-step explanation:
If I understood your question right, it means that Reina wants to put equal amounts of fruits into the bag. Also it suggests that the volume of the bag is not limited.
Since 36 < 40 < 48, the largest amount of each kind of fruits in the bag can be 36. Otherwise Reina wouldn't be able to put more chinos and the amount of each fruit in the bag wouldn't be equal.
Assuming that the smallest amount of fruits in the bag is one (the bag is not empty), there are 36 possible numbers (from 1 to 36) of each fruit.
Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?
Can anyone help me thank you
Can removing two outliers not have an effect on the mean? Justify your responses.
What is the factored form of this expression?
216p6 + 1
(3p – 1) (3p + 1) (6p2 – p2 + 1)
(3p – 1) (3p + 1) (36p4 + 6p2 + 1)
(6p2 + 1)(36p4 - 6p2 + 1)
o 6p2 – 1) (36p4 + 6p2 + 1)