John Doe, a super-genius student (known also under his nick-name Wile E. Coyote, super-genius) has just graduated from SPEA and found a job that will allow him to purchase a car to finally catch Roadrunner. He can either buy a new car at a cost of $22,000, buy a used car for $12000 or lease a new car for one year at a cost of $8,500 (assume total cash purchase up front, no financing or monthly payments required). The new car has a 20% chance of a serious break down resulting in a permanent impairment to the trade-in value. The trade-in value for the new car without a serious break down after one year is $18,000 but only $10,000 if the break down occurs. On the other hand, the used car has a 40% chance of suffering a major break down with a $8,000 decrease in the resale value. However, if it does not break down, Wile can sell it to a friend one year from now for $9,000 cash (assume he can also sell it to the friend for $4,000 if the breakdown occurs). Finally, the leased car has a 10% chance of breaking down with a repair cost of only $2,000, and if it doesn’t, Wile will not gain or lose anything by returning the car at the end of a one year lease period. NOTE: For the new and used car purchases all related repair costs resulting from a breakdown have been netted against the trade-in / resale value.
a. Construct a decision tree for Wile
b. What is the expected value of the new car?
c. What is the expected value of the used car?
d. What is the expected value of leasing the car?
Answers
Answer: See explanation
Step-by-step explanation:
a. Construct a decision tree for Wile
The solution to the question has been attached.
b. What is the expected value of the new car?
= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000
= $2000 + $14400 - $22000
= $16400 - $22000
= -$5600
c. What is the expected value of the used car?
= [(0.4 × $4000) + (0.6 ×$9000] - $12000
= $1600 + 5400 - $12000
= $7000 - $12000
= -$5000
d. What is the expected value of leasing the car?
= [(0.1 × -$2000) + (0.9 ×0)] - $8500
= -$200 - $8500
= -$8700
Related Questions
what is 87,628 divided by 931 is Long divison
Answers
Answer:
94 remainder 114
Step-by-step explanation:
87,628 ÷ 931 = ?
87,628 is not divisible by 931. The closest number that is divisible by 931 is 87,514.
931 × 94 = 87,514
87,628 - 87,514 = 114
87,628 ÷ 931 = 94 remainder 114
URGENT!!!!!! PLEASE LOOK AT THE IMAGE!
The graph of the linear function g is shown on the grid. What is the zero of g?
A) -1
B) 1
C) 3
D) -3
Answers
Answer:
C. 3
Step-by-step explanation:
Zero of a function is the point where the line of the function crosses the x-axis. At this point, y = 0. In simple terms, it is the value of x (input value) that will give us a y-value (output value) of zero.
In the graph of the function given above, the line intercepts the x-axis at 3. When x = 3, y = 0.
Therefore, the zero of g is 3.
3 schools are participating in a donut fundraiser and shipments have been delivered each pallet has 10 cartons East curtain has 10 boxes each box has 10 donuts the shipment consist of five pallets six cartons for boxes and eight individually wrapped donuts how can the donuts be shared equally among five classes
Answers
Answer: Each class get 1121 donuts (3 donuts are still left).
Step-by-step explanation:
Given : 1 pallet has 10 cartons.
1 carton has 10 boxes.
1 box has 10 donuts.
So, 1 pallets has 10 x 10 x 10 =100 donuts
1 carton has 10 x 10 =100 donuts
In shipment,5 pallets, six cartons and eight individually wrapped donuts
= 5x 1000+6x 100+ 8
=5608
Total classes =5
Number of donuts 1 class get = 5608 ÷5 =[tex]1121\dfrac{3}{5}[/tex]
So each class get 1121 donuts (3 donuts are left).
÷6=7 what is the answer
Answers
Answer:
The answer is 42
Step-by-step explanation:
We have to do 6x7 to find it out or add 7 6 times and when we do that it equals into 42
Brainliest will be givenFor the numbers 2 to 100, including 2 and
100, determine each ratio.
a) the number of even numbers to the
number of odd numbers
b) the number of multiples of 6 to the
number of multiples of 8
c) the number of prime numbers to the
number of composite numbers
Answers
answer: c i believe hope it helps!!! :D
A motorcycle weighs 500 pounds.
How many tons does the motorcycle weigh?
Answers
Answer:0.25 tons
Step-by-step explanation:
I looked it up on the internet
You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each.
When t=3 what is the total amount of money received?
Answers
Answer: $132
Step-by-step explanation:
(3t + 2) = 55
(2t + 5) = 77
$55 + $77 = $132
WILL VOTE BRAINIEST
Which expression has the same value as the one below?
22 + (negative 32)
A). 22 + (negative 22) + (negative 10)
B). 22 + (22) + (negative 10)
C). 22 + (negative 22) + (10)
D). 22 + 0 + 32
Answers
Answer:
The answer is A
Very simple and quick
Answer:
A)
Step-by-step explanation:
hope this helps!!
from e d g e n u i t y 2020
a companys stock was selling at $30a share a month later it was $33 a share what is the percent gain
Answers
33-30/30x100= 10
PLSS HELP !! ITS DUE SOON , PLSS
Answers
Answer:
6.28 meters
Step-by-step explanation:
The formula for circumference is C=2[tex]\pi[/tex]r.
So circumference (C) equals 2 x pi x radius (aka half the diameter)
The diameter is 2 meters, so the radius is 1 meter. (2 meters÷2= 1 meter)
2 x pi (3.14) x 1 = 6.28
Covert 52m to kilometers. Explain how you got your answer
Answers
Answer:
0.052 kilometers
Step-by-step explanation:
There are .001 kilometers in 1 meter. So to convert meters to kilometers, multiply the number of meters by .001. 52x.001=.052
I hope you understand...have an awesome day!!! C:
HURRY!!
a
Positive
b
Zero
c
Undefined
d
Negative
Answers
On a graph, when it’s a straight line, there is no slope. When it’s increasing the line, it’s positive, and if it’s decreasing the line, it’s negative, and this line is doing neither.
Choose all the important facts about the y-intercept. (multiple select - more than one answer is correct) The y-intercept tells you where your line crosses the y-axis.
At the y-intercept, the y value is ALWAYS 0.
At the y-intercept, the x value is ALWAYS 0.
The y-intercept is the constant in y = mx + b
The y-intercept tells you where the line crosses the y-axis. The "b" stands for "begins," since our first point we plot is always the y-intercept.
Answers
Answer:
Your answer should be C and D
Step-by-step explanation:
The y-intercept of the line is the value of y at the point where the line crosses the y axis.
1. Determine which of the following are propositions.
a. The kids are playing video games.
b. Are the kids playing Fortnite?
c. The wireless controller
Answers
Answer:
A.
Step-by-step explanation:
The kids are playing video games.
Answer:
The kids playing video games
Step-by-step explanation:
An airline makes 200 reservations for a flight who holds 185 passengers. The probability that a passenger arrives for the flight is 0.9 and the passengers are assumed to be independent. Use the normal approximation of Binomial distribution to answer the following questions.
a. Approximate the probability that all the passengers who arrives can be seated.
b. Approximate the probability that there are empty seats.
c. Approximate the number of reservations that the airline should make so that the probability that everyone who arrives can be seated is 0.95.
Answers
Answer:
The answer is below
Step-by-step explanation:
given that:
n = sample size = 200, p = probability of a cancelled reservation = 1 - 0.9 = 0.1
The z score is given by:
[tex]z=\frac{x-mean}{standard\ deviation} =\frac{x-np}{\sqrt{np(1-p)} }[/tex]
a) The probability that all the passengers who arrives can be seated can only occur if atleast 15 or more passengers cancelled their reservations.
P(X ≥ 15) = 1 - P(X ≤ 14.5)
[tex]z=\frac{x-np}{\sqrt{np(1-p)} }=\frac{14.5-(200*0.1)}{\sqrt{(200*0.1)(1-0.1)} }=-1.3[/tex]
From the normal distribution table:
P(X ≥ 15) = 1 - P(X ≤ 14.5) = 1 - P(z < -1.3) = 1 - 0.0968 = 0.9
b) The probability that there are empty seat only occur if atleast 16 or more passengers cancelled their reservations.
P(X ≥ 16) = 1 - P(X ≤ 15.5)
[tex]z=\frac{x-np}{\sqrt{np(1-p)} }=\frac{15.5-(200*0.1)}{\sqrt{(200*0.1)(1-0.1)} }=-1.06[/tex]
From the normal distribution table:
P(X ≥ 16) = 1 - P(X ≤ 15.5) = 1 - P(z < -1.06) = 1 - 0.1446 = 0.8554
c)
[tex]0.95=P(X\geq n-185)=1-P(X\leq n-185)\\\\P(X\leq n-185)=1-0.95\\\\P(X\leq n-185)=0.05\\\\0.05=P(Z<\frac{n-185-0.1n}{\sqrt{0.9*0.1*n} } )\\\\0.05 \ correspond\ to \ a\ probability\ of\ -1.64\\\\-1.64=\frac{0.9n-185}{\sqrt{0.9*0.1*n} } \\\\n=198[/tex]
Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need to have a diameter of 1.65 mm-too big and they would hurt the donor (even more than usual), too small and they would rupture the red blood cells, rendering the donated blood useless. Thus, the manufacturing process would have to be closely monitored to detect any significant departures from the desired diameter. During every shift, quality control personnel take a sample of several needles and measure their diameters. If they discover a problem, they will stop the manufacturing process until it is corrected.
a. Define the parameter of interest in the context of this study and assign an appropriate symbol to it.
b. State the appropriate null and alternative hypotheses using the symbol defined in (a).
c. Describe what a Type I error would be in this study. Also, describe the consequence of such an error in the context of this study.
d. Describe what a Type II error would be in this study. Also, describe the consequence of such an error in the context of this study. tudy. Jesti- g so, h the in.
Answers
Answer:
a
True mean diameter[tex][\mu][/tex]
b
The null hypothesis is [tex]H_o : \mu = 1.65 \ mm[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 1.65[/tex]
c
Gnerally type I error occurs when the null hypothesis is wrongfully rejected
The consequence of this is that the wrongfully rejecting a batch of needles because the company do not find strong evidence that its true mean diameter is 1.65 mm whereas it is
d
Gnerally type II error occurs when the null hypothesis is wrongfully accepted
The consequence of this is that the wrongfully accepting a batch of needles because the company do find strong evidence that its true mean diameter is 1.65 mm whereas it is not
Step-by-step explanation:
Generally from the question we are told that
The needle needs to have a diameter of 1.65 mm
Now statistically the parameter of interest in the context of this study is the true mean diameter of the needle and the symbol is [tex]\mu[/tex]
The null hypothesis is [tex]H_o : \mu = 1.65 \ mm[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 1.65[/tex]
Gnerally type I error occurs when the null hypothesis is wrongfully rejected
The consequence of this is that the wrongfully rejecting a batch of needles because the company do not find strong evidence that its true mean is 1.65 mm whereas it is
Gnerally type II error occurs when the null hypothesis is wrongfully accepted
The consequence of this is that the wrongfully accepting a batch of needles because the company do find strong evidence that its true mean is 1.65 mm whereas it is not
find the quotient, then check your answer using multiplication
Answers
what is the opposite?
Answers
Answer:
like a opposite side of a question
Step-by-step explanation:
opposite (of angle)between opposite side of the intersection of two line
Which equation is a simplified form of 3(x + 9) - (5x - 2) = 14
Answers
Liam had a container of oatmeal that contained 5 1/2 cups oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal left in the container at the end of the five day week?
Answers
Answer: The answer Is B.3 Sorry If I'm wrong xoxo
Step-by-step explanation:
Answer:
A 2 1/2
Step-by-step explanation:
Use the diagram to complete the statement.
Answers
Answer:
<FJH is congruent to <AJB
Step-by-step explanation:
Because angle FJH is vertical to <AJB they have the same degree, but not only that, we see that both have similar angle markings. these two pieces of evidence then show us to see that <FJH is congruent to <AJB
X + 8y > 16
A
B
C
D?
Answers
Answer:
Its C i think. Sorry if Im wrong
Step-by-step explanation:
Ryan went to the store to buy some apples. The price per pound of the apples is $4.25 per pound and he has a coupon for $2 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answers
Answer:
x = pp(4.25)-2
Step-by-step explanation:
x is the cost
what is this answer 7x+9>−5
Answers
Answer: x>-2
Step-by-step explanation:
____ probabilities will vary even if the total number of trials remains the same.
A. Simulated
B. Theoretical
C. Experimental
D. Situational
Answers
Answer:
Experimental
Step-by-step explanation:
What percent is the same as 3/5
?
O A. 30%
B. 35%
OC. 53%
D. 60%
Answers
Answer:60%
Step-by-step explanation: I got this right on a test
find the value of x for which the lines p and Q are parallel.
a. 9
b. 7
c. 8
d. 6
Answers
While on vacation, your family traveled 2040 miles in 6 days. Your average speed was 340 miles
per day
a Find the independent and the dependent variables.
b. Write a linear function that models the distance that your family traveled each day.
c. b. Use the model to find the distance traveled after 2.5 days of travel.
Answers
Answer:
a. independent = number of days
dependent = number of miles
b. f(x)=340x
x = number of days
f(x) = number of miles
c. f(x)=850
850 miles
Step-by-step explanation:
a. the number of miles depends on number of days because more days equals more miles traveled.
b. Idk u need y or f(x) but just switch to one u need.
c. 340 × 2.5 = 850
Hope this helps!
3/4 divide 5 1/3 simplest form plz help I have to this today!!!!
Answers
Answer:
the answer 9/64 hope it helps
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] ÷ [tex]5\frac{1}{3}[/tex]
First translate [tex]5\frac{1}{3}[/tex] into an improper fraction.
[tex]5\frac{1}{3}[/tex] = [tex]\frac{16}{3}[/tex]
So that means: [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{16}{3}[/tex].
Now you have to switch [tex]\frac{16}{3}[/tex] to its reciprocal to multiply.
[tex]\frac{3}{4}[/tex] x[tex]\frac{3}{16}[/tex] = [tex]\frac{9}{64}[/tex]
Therefore, the answer is [tex]\frac{9}{64}[/tex].
Hope this helped! <3
If not, please let me know!
Which division problem does the diagram below best illustrate?
A diagram with 5 ovals containing 7 squares.
30 divided by 5 = 6
35 divided by 7 = 5
21 divided by 7 = 3
40 divided by 5 = 8
Answers
Question
Which division problem does the diagram below best illustrate?
A diagram with 5 ovals containing 7 squares.
30 divided by 5 = 6
35 divided by 7 = 5
21 divided by 7 = 3
40 divided by 5 = 8
Answer:
B
The division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5
What is division?"It is the process of breaking a number up into equal parts."
What is equation?"It is a statement which consists of equal symbol between two algebraic expressions."
For given example,
A diagram with 5 ovals containing 7 squares,
This means, there is an unknown number X such that:
⇒ X/7 = 5
Now, we can solve the equation for X.
⇒ X/7 = 5
⇒ (X/7) × 7= 5 × 7
⇒ X = 35
Therefore, the division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5
Learn more about division here:
https://brainly.com/question/11476141
#SPJ2