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3 years ago

Pls help ASAP I’ll give brainliest

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Answer: The answer is Corresponding angles. Hope it helps

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How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the populati

marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

For this problem, the parameters are:

$z = 1.96, \sigma = 40, M = 6$

Hence we solve for n to find the needed sample size.

$M = z\frac{\sigma}{\sqrt{n}}$

$6 = 1.96\frac{40}{\sqrt{n}}$

$6\sqrt{n} = 40 \times 1.96$

$\sqrt{n} = \frac{40 \times 1.96}{6}$

$(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2$

n = 170.7.

Rounding up, a sample of 171 should be selected.

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

#SPJ1

4 0

2 years ago

A rectangular aquarium has length (x+ 10), width (x + 4), and height (t + 6). Determine a simplified function that represents th

Helga [31]

Answer:

V = x³ + 20x² + 124x + 240

Step-by-step explanation:

Volume of a rectangular prism is width times length times height.

V = wlh

Given w = x+4, l = x+10, and h = x + 6:

V = (x + 4)(x + 10)(x + 6)

V = (x + 4)(x² + 16x + 60)

V = x²(x + 4) + 16x(x + 4) + 60(x + 4)

V = x³ + 4x² + 16x² + 64x + 60x + 240

V = x³ + 20x² + 124x + 240

7 0

3 years ago

Let f be a linear function. When f x( ) is divided by x − 3, the remainder is 5. When f x( ) is divided by x − 4, the remainder

goldfiish [28.3K]

Answer:

f(0)=11

Step-by-step explanation:

f(x) is a linear function, hence it is of the form f(x)=ax+b for some constants a,b.

When we divide f(x) by x-3 the remainder is 5. Moreover, using the division algorith we have that

$f(x)=a(x-3)+(b+3a)$

hence 5=b+3a.

On the other hand, when we divide f(x) by x-4 the reminder is 3. Also, using the division algorithm, we have that

$f(x)=a(x-4)+(b+4a)$

hence 3=b+4a.

Therefore, to find f(x), we have to solve the linear sistem

$b+3a=5\\\\b+4a=3$

If we substract the first and the second equation, we get

$3a-4a=5-3 \quad \Rightarrow \quad -a = 2 \quad \Rightarrow \quad a=-2$

and using the last result we get that

$5=b+3a=b+3(-2)=b-6 \quad \Rightarrow \quad b=11$

Hence, f(x)=-2x+11, and so f(0)=11.

3 0

3 years ago

Drag each expression to the correct location in the equation. Not all expressions will be used.

miskamm [114]

Gotta add a picture to show us what you want us to do.

7 0

3 years ago

Read 2 more answers

What is 10^-9 plsplsp,sp,lskdkajgnjsogdhgjerojgjer

Archy [21]

.0000000001 yeahhhhh

5 0

4 years ago