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3 years ago

The weekly demand for DVDs manufactured by a certain media corporation is given by

1 answer:

8 0

Let <span>the production level that will yield a maximum profit for the manufacturer be x.
</span>The unit price of the disc is given by p = -0.0006x^2 + 65.
The revenue from selling x discs (R(x)) = px = -0.0006x^3 + 65x

Profit = Revenue - Cost = -0.0006x^3 + 65x - (-0.002x^2 + 13x + 4000) = -0.0006x^3 + 0.002x^2 + 52x - 4000

For maximum profit, dP/dx = 0
-0.0018x^2 + 0.004x + 52 = 0
Using quadratic formular, x = 171

Therefore, <span>the production level that will yield a maximum profit for the manufacturer is 171 discs.</span>

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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea

garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328$

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0

3 years ago

210 sheets of paper is 7cm thick. How thick of a pile would 1260 sheets make?

Mkey [24]

42 cm because if you divide 210 and 1260 it will make 6 so u just multiply it by 7 and u get 42

8 0

2 years ago

A found raising meeting raised sh 8100 for buying desk for three schools, A,B and C, the money was shared to the schools in the

Gelneren [198K]

Answer:

A: 1/3, 2700
B: 2/9, 1800
C: 4/9, 3600

Step-by-step explanation:

The total number of ratio units is 3+2+4 = 9, so the fractions each school got were ...

A : B : C = 3/9 : 2/9 : 4/9

These fractions multiply the total amount raised:

A got 1/3 = 2700, B got 2/9 = 1800, C got 4/9 = 3600

8 0

3 years ago

What is the slope of a line that is perpendicular to the line shown.

sertanlavr [38]

Answer:

3/4

Step-by-step explanation:

First of all, we need to calculate the slope of the line shown. This can be computed as:

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y = y_2-y_1$ is the increment along the y-direction

$\Delta x = x_2 - x_1$ is the increment along the x-direction

We can choose the following two points to calculate the slope of the line shown:

(-3,2) and (0,-2)

And so, the slope of the line shown is

$m=\frac{-2-(2)}{0-(-3)}=-\frac{4}{3}$

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

$m_2 = -\frac{1}{m_1}$

Using $m_1 = -\frac{4}{3}$ , we find that a line perpendicular to the line shown should have a slope of

$m_2 = -\frac{1}{-4/3}=3/4$

5 0

2 years ago

How should I do this question

Ivanshal [37]

Answer:

( 11 -6)

( -5 6 )

Step-by-step explanation:

Multiply the first row of N by first column of M. This will give the first element in top row of the answer :-

-3*-2 + 1*5 = 11

Then multiply the first row in N by the second column of M to give the second element of the top row.

-3*0 + 1*-6 = -6

Then do a similar process with the second row in N.

8 0

2 years ago

Read 2 more answers