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2 years ago

Find the first, fourth, and eighth terms of the sequence A(n) = −2 ∙ 2x − 1

Mathematics

1 answer:

Margaret [11]2 years ago

4 0

Answer:

1st term = -5

4th term = -17

8th term = -33

Step-by-step explanation:

1st term = -2 x (2 x 1) -1

= -2 x 2 - 1

= -4 - 1 = - 5

4th term = -2 x (2 x 2) -1

= -2 x 4 - 1

= -8 - 1 = - 9

8th term = -2 x (2 x 8) - 1

= -2 x 16 - 1

= -32 - 1 = - 33

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

2 years ago

Read 2 more answers

The elves ate all 327 cookies in a 1/2 hour. What is the rate in cookies per hour?

Elenna [48]

Well.. an hour is.. 60 seconds.. but, 1/2 an hour is.. 30 seconds.. And if the elves ate 327 cookies, you would have to divide 327/100 * 30, and that would be.. 1,090 rates in cookies that they ate per hour! Hope I was able to help! And.. if you can, please give me Brainliest! I would really appreciate it! Merry Christmas, and God Bless you, and your whole family! Be/stay safe, and have a good rest of your day! :)

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2 years ago

I need help with 8 9 thanks

sasho [114]

#8: $900. (I found this answer by multiplying 3000 and 0.3 by the way)
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3 0

2 years ago

lily pads increase by 25% very 10days. if a pond starts 22 lilly pads, how many will there be after 50 days

Mars2501 [29]

Step-by-step explanation:

This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.