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3 years ago

Which statement best explains the value of 16 − (−3)?

Mathematics

2 answers:

natta225 [31]3 years ago

6 0

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

BaLLatris [955]3 years ago

5 0

Answer:

Step-by-step explanation:

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Read 2 more answers

Claim: High school teachers have incomes with a standard deviation that is more than $17, 500. A recent study of 136 high scho

Scilla [17]

Answer:

Part a

For this case the claim is:

$\sigma >17500$

And that represent the alternative hypothesis.

Part b: Null and alternative hypothesis

On this case we want to check if the population deviation is higher than 17500, so the system of hypothesis would be:

Null Hypothesis: $\sigma \leq 17500$

Alternative hypothesis: $\sigma >17500$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{136-1}{17500^2} 18500^2 =150.869$

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=136$ represent the sample size

$\alpha$ represent the confidence level

$s^2 =18500^2$ represent the sample variance obtained

$\sigma^2_0 =17500^2$ represent the value that we want to test

Part a

For this case the claim is:

$\sigma >17500$

And that represent the alternative hypothesis.

Part b: Null and alternative hypothesis

On this case we want to check if the population deviation is higher than 17500, so the system of hypothesis would be:

Null Hypothesis: $\sigma \leq 17500$

Alternative hypothesis: $\sigma >17500$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{136-1}{17500^2} 18500^2 =150.869$

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3 years ago

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2 years ago

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alina1380 [7]

The answer should actually be option B)

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3 years ago

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Gwar [14]

Answer:

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Step-by-step explanation:

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