What is the revenue function of r=15n

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that $n = 300$ and $\pi = \frac{10}{300} = 0.033$

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So $\alpha$ = 0.05, z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532$

The correct answer is

(0.0128, 0.0532)

4 0

2 years ago

Techwiz electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, Techwiz sold a c

kicyunya [14]

The combined total profit is (17x + 2502) dollars

Solution:

Profit for each Mp3 player = $ 35

Profit for each DVD player = $ 18

Let x be the number of MP3 players sold last week

Number of MP3 players = x

Last week, Techwiz sold a combined total of 139 MPS and DVD players

Total number of mp3 and dvd sold = 139

Number of DVD player = 139 - x

Write an expression for the combined total profit (in dollars) Techwiz made from MP3 and DVD players last week.

Combined total profit = Number of MP3 players x Profit for each Mp3 player + Number of DVD player x Profit for each DVD player

$combined\ total\ profit = x \times 35 + (139-x) \times 18\\\\combined\ total\ profit = 35x + 2502-18x\\\\combined\ total\ profit = 17x + 2502$

Thus the combined total profit is (17x + 2502) dollars

3 0

3 years ago

Suppose the radius of a circle is 1. What is its circumference?

Rus_ich [418]

C = 2 x 3.14 x 1 (use pi as 3.14)
C = 6.28

6 0

3 years ago

Read 2 more answers

Function k squares the sum of the input, w, and 3.

alisha [4.7K]

9514 1404 393

Answer:

k(w) = (w +3)²

Step-by-step explanation:

The name of the function is k, and its input is w, so the left side of the equal sign will be ...

k(w)

This is said to be the square of the sum w+3, so the right side of the equal sign will be ...

(w +3)²

The function equation in function notation is ...

k(w) = (w +3)²

7 0

2 years ago

What is the area of the Circle? The circle has no radius.

Sergio [31]

No radius = no circle
The radius defines how big a circle is.
0 radius means the circle is only a dot.
So, the area of the circle is 0.

Or technically, algebraically --
area = πr²
area = π(0)²
area=π(0)
area = 0

4 0

3 years ago