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worty [1.4K]
3 years ago
6

I need help really bad

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0
The answer is 18.  You add 5  to both sides of the equation. the 5 cancels out.  You are left with 2/3x=12.  Then you divide 12 by 2/3 to get x.  12 divided by 2/3 is 18
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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
You have $814 that you want to share equally between 5 charities.
kifflom [539]

Answer:

give each charity $60

Step-by-step explanation:

$814 to divide equally to 5 charities.

From 814  if we give   -100,  -100, -100, -100, -100, we have left 314 to split in 5

the most useful next step is to give each charity $60

From $814  if we give   -100, -100, -100, -100, -100

                                         -60, -60, -60, -60, -60  

we have left now:

814 -5*100 -5*60 = 814-500-300 = $14 left to split among the 5 charity.

6 0
3 years ago
Whats 18÷19 ok im only in grade 5 so
anastassius [24]
18÷19=0.94736....................
5 0
3 years ago
Read 2 more answers
Use the place value chart to help right 430,697 In expanded form
Dmitry [639]

Answer:

400,000

+   30,000

+              0

+          600

+             90

+                7

I am joyous to assist anyone at anytime :)

7 0
3 years ago
Here's another one ​
Alex73 [517]

Answer:

Supplementary Angles

x = 62

Step-by-step explanation:

Supplementary angles equal 180.

180 - 118 = 62

I hope this helps!

4 0
3 years ago
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