What is the additive inverse of 6x^2+x-2

The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab

Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

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:

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

For this problem, we have that:

$\pi = 0.25$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when $M = 0.1$

So

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

$0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.1\sqrt{n} = 2.575{0.25*0.75}$

$\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}$

$(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}$

$n = 124.32$

Rounding up

The minimum sample size needed is 125.

5 0

4 years ago

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

ra1l [238]

The expression will be written as $\rm \sqrt[8]{2^5}$ ., the correct option is A.

<h3>What are Exponents?</h3>

Exponents are the base raised to a power, It is written in the superscript of a number.

The expression given in the statement can be written as

$\rm \dfrac{ 2^{7/8}}{2^{1/4}}$

By the Exponent rule,

$\rm \dfrac{a^m}{a^n} = a^{m-n}$

So the expression can be written as

= $\rm 2^{5/8}$

= $\rm \sqrt[8]{2^5}$

Therefore, in radical form, the expression will be written as $\rm \sqrt[8]{2^5}$ ., the correct option is A.

The complete question is

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power

To know more about Exponents

brainly.com/question/5497425

#SPJ2

6 0

2 years ago

What is the rational number between 1/6 and 1/12

soldi70 [24.7K]

7/10 you just get the decimal form of the numbers and find a simple decimal between them, which was 7, and put it over 10 so you get 7/10

3 0

4 years ago

Is -5.5 an intger beacuse its negative?

balu736 [363]

Answer:

The answer is No.

Step-by-step explanation:

The answer is no because an integer is any whole number that isn't a fraction. So this can be positive and still be an integer.

4 0

3 years ago

Read 2 more answers

Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much di

Vlada [557]

Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = $\frac{523.46}{11} = 47.587$

Hence Cole spend 47.587 on buying gifts for each person.

6 0

3 years ago