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Valentin [98]
2 years ago
5

A company is trying to determine how many Valentine’s Day cards to produce. The cost of printing x cards is $2 million +0.70x. F

or example, printing 1 million cards costs $2.7 million. Weekly demand for cards follows a normal random variable with a mean of 1.5 million and a standard deviation of 200,000 for a week before the day and a normal random variable with a mean of 0.5 million and a standard deviation of 300,000 for the week before that. The cards are sold for $4.00, and leftover cards have a value of $0.05. With the precision of 0.2 million, determine how many cards should the company produce to maximize its profit.
Mathematics
1 answer:
vladimir1956 [14]2 years ago
4 0
Jiajianka+b=cbunaianiajianja ok
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Suppose a basketball player has made 217 out of 302 free throws. If the player makes the next 3 free throws, I will pay you $23.
Anna [14]

Answer:

-$0.90

Step-by-step explanation:

There are only two possible outcomes, winning $23 (W) or losing $15 (L). Therefore:

P(W) + P(L) = 1

The probability of the player making his next 3 free throws (P(W)) is:

P(W) = \frac{217}{302}*\frac{217}{302}*\frac{217}{302}\\P(W) = 0.37098

The probability of the player NOT making his next 3 free throws (P(L)) is:

P(L) = 1 - P(W) = 1 - 0.37098\\P(L) = 0.62902

Expected value (EV) is given by the payoff of each outcome multiplied by its probability:

EV = (23*0.37098) -(15*0.62902)\\EV = -\$0.90

The expected value of the proposition is -$0.90

6 0
3 years ago
19)
Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

3(x + 2) + x = 2x + 16

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20

Putting x = 3

3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22

Putting x=4

3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24

Putting x = 5

3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0
3 years ago
What is the equation of the line that goes through the points (-5,-1) and (5,5)?
Margaret [11]

Answer:

y = 3/5 x + 2.

Step-by-step explanation:

Use the point-slope equation of a straight line:

y - y1 = m (x - x1) where m = the slope amd (x1, y1) is a point on the line.

Here:

m = (5- (-1)) / (5 - (-5))

= 6/10

= 3/5.

Substituting for m and  (5, 5):

y - 5 = 3/5(x - 5)

y - 5 = 3/5x - 3

y = 3/5 x + 2.

3 0
3 years ago
What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit
bogdanovich [222]

Answer:

D

Step-by-step explanation:

It turns out from similar triangles, that 7/BD = BD / 18. Use triangles  ABD and BDC to show this relationship. Solving this equation will give you BD

BD^2 = 7*18

BD^2 = 126     Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m^2 =  BD^2 + 7^2

m^2 = 126 + 49

m^2 = 175                         Take the square root of both sides.

sqrt(m^2) = sqrt(175)

m = 13.22

so the answer is D

3 0
3 years ago
19. The area of the square is half the area of the rectangle. Find x.<br> 2(x+4)
melisa1 [442]

Answer:

2x+8

Step-by-step explanation:

3 0
2 years ago
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