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lapo4ka [179]
3 years ago
13

An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each

copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books. Find the mean and standard deviation of the total payments she will receive.
Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

The mean of the total payments she will receive is $79,500.

The standard deviation  of the total payments she will receive is $14,000.

Step-by-step explanation:

Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.

To find : The mean and standard deviation of the total payments she will receive ?

Solution :

Let 'x' represent total sales of the book.

Let 'y' represent the payment to the author.

According to question,

The mean of the total payments she will receive is given by,

\mu_y=20,000+3.50\mu_x

Where, \mu_x=17,000

Substitute in the equation,

\mu_y=20000+3.50\times 17000

\mu_y=20000+59500

\mu_y=79500

The mean of the total payments she will receive is $79,500.

The standard deviation of the total payments she will receive is given by,

\sigma_y=|3.50|\sigma_x

Where, \sigma_x=4,000

Substitute in the equation,

\sigma_y=|3.50|\times 4000

\sigma_y=14000

The standard deviation  of the total payments she will receive is $14,000.

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For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

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

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

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

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

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

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

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

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
Suppose the band sells erasers for $2 per package and pencils for $5 per package. The band sells 220 packages in all and earns a
garik1379 [7]
Let e=erasers and p=pencils. So we know the total amount of erasers plus pencils sold is equal to 220. Therefore,

e + p = 220
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Enter the range of values for x
Pavlova-9 [17]

<em>Greetings from Brasil...</em>

See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25

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X > 2

<h3>2 < X < 7</h3>

8 0
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