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Arturiano [62]
4 years ago
15

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from

$9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue?
(Revenue = price x number of backpacks.)

A. $9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B. $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D. $15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
Mathematics
2 answers:
Anettt [7]4 years ago
8 0
Letter C has the highest revenue so we will just have to check if it is correct.

-2(12.50)+50 = 25
Revenue = <span>price x number of backpacks
Revenue = 25 x $12.50
Revenue = $312.50

So, letter C is the correct answer.</span>
kirill [66]4 years ago
8 0

Answer:

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Step-by-step explanation:

It's c, i got it right on edge

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The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.
Zielflug [23.3K]

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    P(X \ge  15) =  P( \frac{X - \mu}{\sigma }  \ge \frac{x - \mu}{\sigma } )

Now  applying  Continuity Correction we have

   P(X \ge  (15-0.5)) =  P( \frac{X - \mu}{\sigma }  > \frac{(15 -0.5) - 15}{3.86 } )

Generally  \frac{X - \mu}{\sigma }   =  Z (The \ standardized \ value  \ of  \ X)

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

7 0
4 years ago
ABC Bookstore uses a storage unit that measures 13 ft x 16 ft x 12 ft. What is
Ludmilka [50]

Answer:

2496 cubic feet

Step-by-step explanation:

Dimension of storage unit 13 ft x 16 ft x 12 ft.

Since there are three sides it can be safely assumed that storage unit is rectangular in shape.

Volume of rectangular body is given by length * width * height

Using the above formula in the given dimension we have

volume of storage unit = length of storage unit * width of storage unit  * height of storage unit

volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet

5 0
3 years ago
PLEASE HELP ADSAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rasek [7]

Answer:

Part A: (0.25+0.30+0.75) - 0.20

Part B:

Step-by-step explanation:

The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).

So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:

(0.25+0.30+0.75) - 0.20

The simplified equation will be:

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= 1.1

I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.

Best of luck, and have a blessed day! For any question or comments, please say so!

4 0
3 years ago
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mixer [17]

Answer:False

Step-by-step explanation:#UwU God

5 0
3 years ago
A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang
Ksju [112]

Answer:

x^3+x^2-5x+28

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

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2. apply +(-a)=-a rule x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4

3. Simplify

    Steps to simplify:

x^2x=x^3

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3\cdot \:4x=12x

7\cdot \:4=28

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4. Add like terms =x^3+4x^2-3x^2-5x+28

5. Add like terms =x^3+x^2-5x+28

6 0
3 years ago
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