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3 years ago

Given the sequence 128, −32, 8… , which of the following statements is TRUE? *

Mathematics

2 answers:

scoray [572]3 years ago

6 0

Answer:

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms

r = $\frac{a_{2} }{a_{1} }$ = $\frac{-32}{128}$ = - $\frac{1}{4}$

r = $\frac{a_{3} }{a_{2} }$ = $\frac{8}{-32}$ = - $\frac{1}{4}$

Thus the sequence is geometric with common ratio r = - $\frac{1}{4}$

Hoochie [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Because the ratio between 128 and -32 is the same as the ratio between -32 and 8

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Suppose that you live in a community that has 125,000 households. Among these households, 50,000 have traditional landline telep

DedPeter [7]

Answer:

0.4 = 40% probability that the second household selected will have a traditional landline telephone

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that:

125,000 households

50,000 have traditional landlines telephones.

The first household selected does not have a traditional landline telephone.

Now we have 125000 - 1 = 124,999 households, and 50,000 have traditional landlines telephones.

What is the probability that the second household selected will have a traditional landline telephone

$p = \frac{50000}{124999} = 0.4$

0.4 = 40% probability that the second household selected will have a traditional landline telephone

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3 years ago

The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 8 golfer

dexar [7]

Answer:

The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).

Step-by-step explanation:

We have the standard deviation for the differences, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.8946

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.8946\frac{15.9274}{\sqrt{8}} = 10.67$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088

The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252

The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).

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Yuki888 [10]

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Stolb23 [73]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
The results are independent:
P(2 heads) = 1/4
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