I need help on this problem in math
1 answer:
Answer:
- correct answer is C
- Haley incorrectly applied the distributive property
Step-by-step explanation:
If you simplify the given equation, you find it matches choice C.
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Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...
1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x
Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.
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<em>Additional comment</em>
It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.
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Answer:
represent the sample for the sample 1
represent the sample for the sample 2
represent the deviation for the sample 1
represent the deviation for the sample 2
represent the sample size for the group 1
represent the sample size for the group 2
And on this case if we create the system of hypothesis we have this:
Null hypothesis :
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Solution to the problem
We assume that we have the following statistics:
represent the sample for the sample 1
represent the sample for the sample 2
represent the deviation for the sample 1
represent the deviation for the sample 2
represent the sample size for the group 1
represent the sample size for the group 2
And on this case if we create the system of hypothesis we have this:
Null hypothesis :
Alternative hypothesis: