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erastovalidia [21]
3 years ago
12

A rock concert promoter has scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,000. If it

does rain, the promoter will lose $15,000 in guarantees made to the band and other expenses. The probability of rain on the 4th is 0.4.
(a) What is the promoter's expected profit? Is the expected profit a reasonable decision criterion? (Round your answers to 1 decimal place.)
(b) How much should an insurance company charge to insure the promoter's full losses?
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

(a) $12,000. It is reasonable since profit is positive

(b) $6,000

Step-by-step explanation:

(a) The promoter's expected profit is given by the product of his potential earnings by the probability that it does not rain, minus the product of his potential losses by the probability of rain:

E(X) = \$30,000*(1-0.4)-\$15,000 *0.4\\E(X) = \$12,000

The promoter's expected profit is $12,000, it is a reasonable criterion since profit is positive.

(b) An insurance company should charge the product of the full potential losses by the probability of rain:

I = \$15,000*0.4\\I=\$6,000

An insurance company should charge $6,000.

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Describe the steps you would use to factor 2x3 + 5x2 – 8x – 20 completely. Then state the factored form.
WARRIOR [948]
The polynomial 2x^3 + 5x^2-8x-20 may have solutions which are the divisors of -20, therefore -20 has the following divisors: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.
If x=1, then 2\cdot1^3 + 5\cdot1^2-8\cdot1-20=-20\neq 0,
if x=-1, then 2\cdot(-1)^3 + 5\cdot(-1)^2-8\cdot(-1)-20=-9\neq 0,
if x=2, then 2\cdot2^3 + 5\cdot2^2-8\cdot2-20=0, then x=2 is a solution and you have the first factor (x-2). 
If x=-2, then 2\cdot(-2)^3 + 5\cdot(-2)^2-8\cdot(-2)-20=0, then x=-2 is a solution, so you have the second factor (x+2).
Since x-2 and x+2 are two factors of 2x^3 + 5x^2-8x-20 , then the polynomial x^2-4 is a divisor of 2x^3 + 5x^2-8x-20 and dividing the polynomial 2x^3 + 5x^2-8x-20 by x^2-4 you obtain 
 2x^3 + 5x^2-8x-20=(x-2)(x+2)(2x+5).











5 0
3 years ago
Read 2 more answers
2/5 g+3h -6 when g=10 h=6
motikmotik
<h3>hello!</h3>

let's evaluate this expression

\pmb{\displaystyle\frac{2}{5}g+3h-6 }

\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}

\pmb{\displaystyle\frac{2}{5} *10+18-6}

\pmb{\displaystyle\frac{2}{5} *10+12}

Multiply:

\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}

Final Step:-

\pmb{4+12}

\pmb{16}

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

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3 years ago
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irga5000 [103]

Answer:

None of these.

Step-by-step explanation:

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4 0
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kozerog [31]
The answer is the second choice. Hope that was helpful
3 0
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