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nasty-shy [4]
3 years ago
14

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 <em>are</em> the explanation.

__

<em>Comment on the second question</em>

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.

__

<em>Comment on choosing 'word' answers</em>

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:

9

Step-by-step explanation:

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Answer:

Part a

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\sigma >17500

And that represent the alternative hypothesis.

Part b: Null and alternative hypothesis

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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.

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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

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

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Part a

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And that represent the alternative hypothesis.

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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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