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3 years ago

Which is a possible expression for the series –7 + 12 –17 +22 –27

1 answer:

7 0

First, you have to see the behavior of the series: it has a negative number, then a positive number with a 5 addd (7+5=12), and this is repeated with the others values. Each termn has a 5 added. In this case, as there is negatives values alternated, the serie will have the termn (-1)^n. Then, we have:

a(n)=(-1)^n[ a + (n-1)d ]
a(n)=(-1)^n[ (7) + (n-1)(5) ]
a(n)=(-1)^n( 5n + 2 )

A possible expression for the serie –7 + 12 –17 +22 –27, is:

∑5n=(−1)^n(2+5n)

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We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

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2 years ago

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3 years ago

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4 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

KengaRu [80]

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Using the ratio and proportion method, we find that on an average 1.875 rooms can be painted per gallon.

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2/5 gallons of paint = 3/4 rooms

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2 years ago

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Since we FAIL to reject the null hypothesis, then if we construct an interval of 95% of confidence, the 0 should be included, because on the test hypothesis we conclude that there would be no significant difference between the means of the two groups analyzed, and the results obtained on the hypothesis test needs to be consistent with the confidence interval.

Step-by-step explanation:

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".

$\bar x_{meat}=111.7$ represent the sample mean of calories for the meat hot dogs

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The system of hypothesis on this case would be:

Null hypothesis: $\mu_{meat}-\mu_{beef}=0$

Alternative hypothesis: $\mu_{meat}-\mu_{beef}\neq 0$

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