Definition of an equilateral triangle: A triangle with the exact same sides and angles, which is 60°
5 more than twice a number:
Let the number be x:
2x + 5
Since it is an equilateral triangle, multiply that by 3:
3(2x +5) = 6x + 15
The perimeter is (6x + 15) inches.
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
= 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
= 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
[tex]$=\frac{0.55}{0.75}$[/tex]
[tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
[tex]$=\frac{0.15}{0.25}$[/tex]
[tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
[tex]$=\frac{0.55}{0.7}$[/tex]
[tex]$=\frac{11}{14}$[/tex]
6. [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
[tex]$=\frac{0.2}{0.3}$[/tex]
[tex]$=\frac{2}{3}$[/tex]
Solve
Four times the sum of 6 and some number is 32. What is the number?
Answer:
Thus, the value of x is 1.
Step-by-step explanation:
4(2x+6)=32
8x+24 =32
8x =32-24
8x =8
x =8÷8
x =1
Help with this one too!!! It will mean a lot
Answer:
Step-by-step explanation:
problem 13:
12g+24, 3(4g+8)
problem 14
9a+6, 3(a+2)+6a
6(a+1)+3a
what does 1/2 x 2/3 equal
Answer:
9/2
Step-by-step explanation:
por cada persona que tiene gripe,hay 6 personas que solamente tienen sintomas de gripe. si un medico ve a 40 pacientes, calcula aproximadamente cuántos pacientes esperas que tengan solamente sintomas de gripe.
Find the 12th term of the geometric sequence -2,4,-8..
Answer:
-16394
Step-by-step explanation:
Pattern rule : Start at -2 and multiply it by -2.
-2 x -2 = 4
4 x -2 = -8
-8 x -2 = 16
16 x -2 = -32
- 32 x -2 = 64...so on
72 = 0.6J I need help plz
Can someone please tell me this equation?
Answer:
for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.
Step-by-step explanation:
y+2=1/5(x+1)
graph?
Answer:
x=5Y+9, Plot on graph 1/5x-9/5
Step-by-step explanation:
The x intercept is (9,0)
The Y intercept is (0,-9/5)
what is 5/6 - 3/8 plz help
Can someone help me with a two step equatio that is x=3
Answer:
ok
Step-by-step explanation:
ya
4/5 = 28/x
x=
i need to know what x =
Answer:
Hello! :) have a good day!
x = 35
4/5 = 28/35
Find three points on the parabola.
x^2−6x−4y+5=0
Answer:
(0,1.25), (1,0), (-1,3)
Step-by-step explanation:
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST
Answer:
They are 20 km away from each other,
Step-by-step explanation:
1cm=5km so 4cm=20km
Answer:
20km
Step-by-step explanation:
its like 1st grade math?
also im posting so you can give the other dude brainliest
Solve 81^x= 27^x + 2
Answer:
x=6
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases then solve for X.
Hope this helped have a good one.
Rob hits ball 3 feet off the ground at an angle of 30 degrees with an initial velocity of 115ft/sec. Will the ball clear a 20 foot fence that is 300 feet from the home plate?
##################################
My choices are
38
62
102
150
Answer:
B. [tex]x = 62[/tex]
Step-by-step explanation:
In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.
[tex]3x-36=2x+26\\[/tex]
Same to both sides:
[tex]x = 62[/tex]
In permutations, order matters.
A) True
B) False
C) Both
D) Unable to answer this question with the data given because permutations are always changing.
I need help this is a assignment question.
The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?
A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot
Answer:
c because its c its c and nothing but c
Fionn observed that 91\%91%91, percent of the background checks he processes are for potential employees who have already interviewed. Let BBB be the number of background checks Fionn processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent. Find the probability that the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript background check that Fionn processes is the first for which the potential employee has not yet interviewed.
Answer:
0.05
Step-by-step explanation:
checked via khan academy
Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.
What is probability?
Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
We want to find that the first order placed by a new customer is the 5th.
We have that:
8% = 0.08 probability that an order is placed by a new customer.
1 - 0.08 = 0.92 = 92% probability that an order is placed by an old customer.
Probability that the first order placed by a new customer is the 5th:
First four all old, each with 0.92 probability.
Firth new, with 0.08 probability. So
[tex]p=(0.94)^4\times 0.08=0.0573[/tex]
Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
find the volume and the total surface area of a cube whose edge is 1.5m.
Answer:
I think it's 18
Step-by-step explanation:
1.5 x 1.5 is the first area of a single side, which is 3. 3 x 6 is 18.
sorry if this is wrong!
✨6 Grade Math✨ Pls help
Answer:
37Step-by-step explanation:
89 - 4²×4 + 12 = 89 - 16×4 + 12 = 89 - 64 + 12 = 25 + 12 = 37Answer:
[tex]89 - 4 {}^{2} \times 4 + 12 = 89 \\ - 16 \times 4 + 12 \\ \\ = 89 - 64 + 12 \\ \\ = 25 + 12 \\ \\ = 37[/tex]
89-4^2×4+12=89-16×4+12
= 89-64+12
= 25+12
= 37
Can somebody please answer the question giving brainliest!
Answer:
A counter clockwise
Step-by-step explanation:
73% of 148 grams is what?
Answer:
108.04 grams
Step-by-step explanation:
Answer: 108.04
Step-by-step explanation:
Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer:
1/125 cm^3
Step-by-step explanation:
Volume of a cube = L^3
L is the side length of the cube
Given
L = 1/5 cm
Volume of the cube = (1/5)^3
Volume of the cube = 1/125
Hence the volume of the cube is 1/125 cm^3
A ticket to Silver Dollar City costs $125. You have a coupon that will save you 33%. How much will you SAVE? In the same scenario, how much will you end up SPENDING for you ticket if you use your coupon?
What is the algebraic expression for y-4
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?
Answer:
$38.40
Step-by-step explanation:
you have to divide 192 by 8.
Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt
Answer:
$35.21
Step-by-step explanation:
100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
Answer: $35.21
Step-by-step explanation: 100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
