Which are the subset of a real numbers to which the number zero belongs to

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

How many variables can there be ?

Yakvenalex [24]

Answer:

Step-by-step explanation:I am pretty sure that there can be as much as possible depending on how it is written in the word problem.

5 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEE NO ONE IS HELPING

hichkok12 [17]

Step-by-step explanation:

1. Using the limit definition of derivative, find the derivative function,

= −2x + 2.

dont trust my answer dubble check i never trust myself i dont want you to get it wrong

5 0

2 years ago

PLEASE HELP

elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or $\frac{a}{b}$

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

$\frac{17}{12}$ or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

$\frac{4}{9}$

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

$\frac{7}{35}$

Divide both numerator and denominator by 7 we have;

$\frac{1}{5}$ .....[A]

⇒ $\frac{7}{35} =\frac{1}{5}$

Multiply both numerator and denominator by 2 in A we get;

$\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}$

Similarly,

Multiply both numerator and denominator by 3 in A, we get

$\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Therefore, 3 ratios equal to 7 over 35 are;

$\frac{1}{5}$ or we can write it as one-fifth

$\frac{2}{10}$ or two -tenths

$\frac{3}{15}$ or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒ $\frac{21}{28}$

Therefore, the ratio in simplest form is, $\frac{21}{28}$

6 0

3 years ago

Read 2 more answers

Please help me understand this! Thanks a bunch if you help!

mariarad [96]

Segment BD equals 12<span />

6 0

3 years ago