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GaryK [48]
3 years ago
5

The formula below gives D, the demand for concert tickets when the price of each ticket is p dollars. 

Mathematics
2 answers:
yarga [219]3 years ago
5 0
D(p) = 2000-4p-p2

if p=15 then 2000-60-30 which = 1920 :)
Vlada [557]3 years ago
4 0
Hey and I think it's D
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7) In Problem 6 we poured a large and a small bowl of cereal from a box. Suppose the amount of cereal that the manufacturer puts
olga_2 [115]

Question:

The amount of cereal that can be poured into a small bowl varies with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. A large bowl holds a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl.

Answer:

a) The expected amount of cereal left in the box is 12.2 ounces

b) The standard deviation  \sigma_{x+y+z}, is 0.5099

c) In a Normal model, the probability that the box still contains more than 13 ounces is P(Z-(X+Y) > 13) = 5.821 %.

Step-by-step explanation:

Let X represent the amount of cereal that can be poured into a small bowl and Y represent the amount of cereal that can be poured into a large bowl and Z represent the amount of cereal that the manufacturer puts in the box, then the expected amount of cereal left in the box is given by

Z - (X + Y)

(a) The expected amount of cereal left in the box is given as

P(Z - (X + Y)) = μ = μ_Z - μ_X - μ_Y = 16.2 - 1.5 - 2.5 = 12.2 ounces

The expected amount of cereal left in the box = 12.2 ounces

b) The standard deviation is given by  the root of the sum of the variance

That is

\sigma_{x+y+z} ^2 = \sigma_x^2 + \sigma_y^2 +\sigma_z^2 and

\sqrt{\sigma_{x+y+z} ^2}  = \sqrt{\sigma_x^2 + \sigma_y^2 +\sigma_z^2} =\sqrt{0.1^2+0.4^2+0.3^2} = 0.5099

The standard deviation,  \sigma_{x+y+z}, = 0.5099

c) The probability that the box still contains more than 13 ounces is given by

P(Z-(X+Y) > 13)

Where z-score is  

z=\frac{x-\mu}{\sigma} = \frac{13-12.2}{0.5099}=  1.5689 ≈ 1.57

From the z-score table P(Z = 1.57) = 0.94179

Therefore the probability of the box containing ≤ 13 is 0.94179, that is

P(Z-(X+Y) ≤ 13) = 0.94179 and

P(Z-(X+Y) > 13) = 1 - 0.94179 = 0.05821 = 5.821 %.

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3 years ago
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AleksandrR [38]

Answer:

its c

Step-by-step explanation:

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Use the data in the table to find the median mode, and range of the data.
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Answer:

Median: 2

Mode: 0

Range: 10

Step-by-step explanation:

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Which expression is a prime polynomial?
irakobra [83]

The expression that is a prime polynomial is:

B. x^3 - 27y^2.

<h3>What is a prime polynomial?</h3>

A prime polynomial is a polynomial that cannot be factored.

In this problem, item b gives a prime polynomial, as:

  • In item a, 3 is a common factor, hence the polynomial can be factored.
  • In item c, x is a common factor, hence the polynomial can be factored.
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More can be learned about prime polynomials at brainly.com/question/26388060

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