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Karolina [17]
4 years ago
5

What is the 6th term in this geometric sequence? 5, -15, 45, -135

Mathematics
1 answer:
olga nikolaevna [1]4 years ago
8 0

Answer:

-1215.

Step-by-step explanation:

For a geometric sequence:

nth term = a1 r^(n-1)

The first term a1 = 5 and the common ratio r  = -15/5 = -3.

So 6th term = 5 * (-3)^(6-1)

=  5 * (-3)^5

= -1215.

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Step-by-step explanation:

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In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 295 accurate orders and 55 that were not accurat
Afina-wow [57]

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(b) Restaurant B has a significantly lower percentage of orders that are not accurate.

Step-by-step explanation:

Confidence interval for population proportion is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Given: Significance level : \alpha: 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

For Restaurant A , The proportion of orders not accurate : p=\dfrac{55}{295}\approx0.19

Then , the Confidence interval for population proportion will be :-

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Also, 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B:0.138

By comparing both the lower confidence limit and upper confidence limit of the interval for Restaurant B is lower than the lower confidence limit of t and the upper confidence limit of the interval for Restaurant A.

Therefore, Restaurant B has a significantly lower percentage of orders that are not accurate.

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