Answer:
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if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height
Let height be x, then radius is also x.
We know that,
C.S.A. = 2πrh
=> 308cm² = 2πxx
=> 308cm² = 2πx²
=> 308cm² = 2(22/7)x²
=> 308cm² = (44/7)x²
=> 308cm² × (7/44) = x²
=> 2156/44 cm² = x²
=> 49cm² = x²
=> √(49cm²) = x
=> 7cm = x
So, height and radius are 7cm each.
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]
Find three points on the parabola.
x^2−6x−4y+5=0
Answer:
(0,1.25), (1,0), (-1,3)
Step-by-step explanation:
Sunjai leaves a tip of $4 for his meal at the local burger place. His original meal cost him $18. What was his percent for the tip?
Answer:its 22% pls just give me brainliest so i can move up a ranking
Step-by-step explanation:
Answer:
22%
Step-by-step explanation:
Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?
Which equation can be used to find p ?
A. .50p+2=4.10
B. .50p+2.25=4.10
C .50+2.25p=3.85
D. 2.75+.25p=4.10
Answer:
B. .50p+2.25=4.10
Step-by-step explanation:
The equation that need to determine the p is shown below:
Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25
Now the total amount paid by Carol is $4.10
So, the equations would be
0.50p + 2.25 = 4.10
Therefore the option b is correct
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!
help quick
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%
6/30 in its simplest form
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
6/30 can be simplified by finding the LCD (least common denominator), which is 6
divide both the top & bottom by 6
6/6 = 1
30/6 = 5
thus, your answer is 1/5
Alonzo makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
25
Step-by-step explanation:
4/5 = 28/x
x=
i need to know what x =
Answer:
Hello! :) have a good day!
x = 35
4/5 = 28/35
Can somebody please answer the question giving brainliest!
Answer:
A counter clockwise
Step-by-step explanation:
find the value of Tan 45°
Answer:
The exact value of tan(45°) is 1
Step-by-step explanation:
I hope it's helpful!
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.
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Which graph represents the inequality x > 23 ?
Step-by-step explanation:
step 1. x > 23 means x values greater than 23 but not equal to 23.
step 2. the graph would have an open circle above 23 and a line with an arrow at the end pointing right.
Answer:A
Step-by-step explanation:
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:
4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is
1.1. What is the earned value of the project at Week 8?
Answer:
the earned value of the project is $9,900
Step-by-step explanation:
The computation of the earned value of the project is shown below:
As we know that
CPI = Earned value ÷ Actual cost
1.1 = Earned value ÷ $9,000
So, the earned value is
= 1.1 × $9,000
= $9,900
hence, the earned value of the project is $9,900
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.
if 3/4 of a certain number is equal to 4 1/2, find the number
Answer:
6
Step-by-step explanation:
3/4x = 9/2
4/3 * 9/2 = 36/6
6
The number in the mathematical statement is 6
How to determine the number?Let the number be x.
So, the equation can be represented as:
3/4 * x = 4 1/2
Express the fraction as an improper fraction
3/4 * x = 9/2
Multiply through by 4/3
x = 6
Hence, the number is 6
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✨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
72 = 0.6J I need help plz
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
What 5 divided by 4.25.
Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
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:
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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?
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?
##################################
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.
Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Can someone help me with a two step equatio that is x=3
Answer:
ok
Step-by-step explanation:
ya
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
