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3 years ago

13

How do you do this fraction

2 answers:

JulsSmile [24]3 years ago

7 0

The answer to the question is 11/14

wolverine [178]3 years ago

6 0

Write 11
----
14

when adding fractions with common denominators, you never add the denominators. only the numerators, and keep the denominators the same

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

prohojiy [21]

Using the z-distribution, it is found that a sample size of 3,385 is required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

The margin of error is:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 98% confidence level, hence $\alpha = 0.98$ , z is the value of Z that has a p-value of $\frac{1+0.98}{2} = 0.99$ , so the critical value is z = 2.327.

We have no prior estimate, hence $\pi = 0.5$ is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:

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

$0.02 = 2.327\sqrt{\frac{0.5(0.5)}{n}}$

$0.02\sqrt{n} = 2.327 \times 0.5$

$\sqrt{n} = \left(\frac{2.327 \times 0.5}{0.02}\right)$

$(\sqrt{n})^2 = \left(\frac{2.327 \times 0.5}{0.02}\right)^2$

n = 3,385.

A sample size of 3,385 is required.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0

2 years ago

Find the value of |-8| + 4(-5 + 9) ÷ 2.<br><br> 16<br> 12<br> 24<br> 0

jeka57 [31]

Answer:

16

Step-by-step explanation:

using the abs value rewrite equation to: 8 + 4(-5 + 9) ÷ 2

8+4(4)/2

8+16/2

8+8=16

hope this helps

6 0

3 years ago

Read 2 more answers

30,000+2,000+500+8

vazorg [7]

Thirty thousand two thousand five hundred and eight

3 0

3 years ago

What is the factorization of the trinomial below?<br> -x2+ x + 42

Greeley [361]

Answer:

-(x + 6)(x - 7)

Step-by-step explanation:

The expression that we have can also be expressed in the following way:

- (x ^ 2 - x - 42)

Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.

these numbers are: -7 and 6

-7 * 6 = -42

-7 + 6 = -1

Thus:

- (x + 6) (x - 7)

8 0

3 years ago

Which shows the following expression using positive exponents?

Hitman42 [59]

Answer:

1. option B is correct i.e., $\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

$\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}$

As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

$\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. Given equation is:

$\frac{a^3b^{-2}}{ab^{-4}}$

As we know that $a^{-x}=\frac{1}{a^x}$

so the given equation can be represented as:

$\frac{a^3b^4}{ab^2}$ .

3. Given equation is:

$(\frac{4mn}{m^{-2}n^6})^{-2}$

by using the properties $a^{-x}=\frac{1}{a^x}$ ,

and $a^x\times a^y=a^{x+y}$

$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

5 0

3 years ago

Read 2 more answers