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julia-pushkina [17]

3 years ago

9

What is 9911 divided by 62

2 answers:

OlgaM077 [116]3 years ago

5 0

Easy. But very long.
9911/62= 159.854...

lara [203]3 years ago

3 0

The answer is 159.85

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What is the perimeter of the garage if d=3<br><br> I’m marking branliest

mart [117]

Answer:

perimeter= 46

Step-by-step explanation:

(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)

7 + 7 + 16 + 16

= 46

5 0

3 years ago

12 bars of soap for $8.69

Deffense [45]

Wow… how is this a question? .-.

8 0

3 years ago

What is 2/3 divided b 1/6 =?

Xelga [282]

Answer:

4

Step-by-step explanation:

$\frac{2}{3} \div \frac{1}{6}$ can also be written as $\frac{2}{3} \times \frac{6}{1}$ . Evaluating this gives $\frac{2 \times 6}{1 \times 3}$ = $\frac{12}{3}$ = $4$

5 0

2 years ago

Read 2 more answers

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0

3 years ago

If y varies inversely as x, and y = 23 when x<br> 8, find y when x 4.

Virty [35]

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 23 when x = 8 , then

23 = $\frac{k}{8}$ ( multiply both sides by 8 )

184 = k

y = $\frac{184}{x}$ ← equation of variation

When x = 4 , then

y = $\frac{184}{4}$ = 46

7 0

2 years ago