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sertanlavr [38]
3 years ago
12

Help please mathematics 22 -24

Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Answer:  (22) $9,075     (23) $656.25      (24) $217.13

<u>Step-by-step explanation:</u>

Cost Function: C(x) = 5.75x + 8,000

              C(10,000) = 5.75(10,000) + 8,000

                                = 57,500     + 8,000

                                = 65,500

Revenue Function: R(x) = 9.50x

                        R(7,850) = 9.50(7,850)

                                       =    74,575

Profit Function: P(x) = R(x) - C(x)

                                 = 74,575 - 65,500

                                 = 9,075

*****************************************************************************

Retail = Unit Cost + Unit Cost × Markup

         =     $375    +         $375 × .75

         =     $375    +           $281.25

         =     $656.25

*****************************************************************************

$225 but if paid within 10 days there is a 3.5% discount

Discount = $225 - $225 × .035

               =  $225 -     $7.88

               =  $217.13

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The random variable X has a uniform distribution with values between 16 and 24. What is the mean and standard deviation of X
N76 [4]

Answer:

Mean = 20

SD = 2.31

Step-by-step explanation:

Given

a = 16

b = 24

Solving (a): The mean

The mean of a uniform distribution is:

Mean = \frac{1}{2}(a + b)

This gives:

Mean = \frac{1}{2}(16 + 24)

Mean = \frac{1}{2}(40)

Mean = 20

Solving (b): The standard deviation

The standard deviation is:

SD = \sqrt{\frac{(b - a)^2}{12}}

This gives:

SD = \sqrt{\frac{(24 - 16)^2}{12}}

SD = \sqrt{\frac{(8)^2}{12}}

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Read 2 more answers
A parabola can be drawn given a focus of
grigory [225]

The equation of parabola is y = -8(x -3)² - 9.

<h3>Define parabola.</h3>

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Given Data

Focus = (3, -9)

Directrix: y = -5

The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.

The parameter of the parabola is the separation between the focus and the directrix, so

p = -9 - 3

p = -12

p = 12

The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).

Since a parabola moves in the opposite direction of y, its equation is

y -(-9) = -2(4(x -3)²)

y + 9 = -8(x-3)²

y = -8(x -3)² - 9

The equation of parabola is y = -8(x -3)² - 9.

To learn more about parabola, visit:

brainly.com/question/13804934

#SPJ13

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