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3 years ago

Graph each of the following piecewise function below

Mathematics

1 answer:

nikdorinn [45]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

The graph has a discontinuity at x=0, where the function is defined as (0, 4), not (0, 0).

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

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 level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

95% confidence level

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

What is the required sample size for the new study?

This is n for which M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2$

$n = 800.3$

Rounding up:

The required sample size for the new study is 801.

4 0

3 years ago

I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I

never [62]

Answer:

you are a square

Step-by-step explanation:

it says " i have 2 pairs of parallel sides and 4 right angles", and typically 4 right angles make a square

8 0

3 years ago

Jane buys some rocks for decorating her backyard. She uses a box full of rocks. The box is a rectangular container that is 1 yar

statuscvo [17]

First, Jane must know the volume of the box.
Volume = l * w * h
Volume = 1 * 0.5 * 0.5
Volume = 0.25 yard^3

1 yard^3 = $25

So,
1 : 25 = 0.25 : x
x = 25 * 0.25
x = $6.25

So she need to spend $6.25

4 0

3 years ago

Find two geometric means between 5 and 135

aniked [119]

Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio 3√1355=3, hence a=15 and b=45

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

a=5rb=ar=5r2135=br=5r3

Hence r3=1355=27, so r=3√27=3

Then a=5r=15 and b=ar=15⋅3=45

6 0

3 years ago

How many pairs of whole numbers have 75 as their product Show your work

Minchanka [31]

I think you mean factors? The factors of 75 are 1, 3, 5, 15, 25 and 75.

3 0

3 years ago