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1 year ago

What is the sum of 14 and the opposite of 12

Mathematics

1 answer:

frozen [14]1 year ago

5 0

I'm assuming that by "opposite of 12", it means -12

If so, the answer would be 2

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The Office of Student Services at a large western state university maintains information on the study habits of its full-time st

vredina [299]

Answer:

a. 0.50

Step-by-step explanation:

The standard error of the mean is the standard deviation of the population divided by the square root of the sample size.

In this problem, we have that:

Standard deviation of the population: 6 hours

Sample size: 144

Square root of 144 is 12.

So the standard error of the sample mean is 6/12 = 0.5.

4 0

1 year ago

Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea

garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328$

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0

2 years ago

A number is written with the following factorization 2x2x2x4x5. Is this factorization is prime factorization? Explain why or why

Ulleksa [173]

The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.

Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.

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2 years ago

Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.He spun a 4 five time

kogti [31]

If the number of trials is changed the number of experimental outcomes also changes

6 0

1 year ago

Which table represents a direct variation function?

Anika [276]

The third table
Explanation:
6/4 = 1.5 , 9/6 = 1.5 , 12/8 = 1.5

3 0

2 years ago