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3 years ago

Find the next four terms in the arithmetic sequence.

2 answers:

6 0

To find the arithmetic sequence, we can first find it's common difference by deducting the first term by the second term:

-7-(-15)

=-7+15

Therefore the common difference is 8, and to find the remaining terms we can add 8 for the respective terms.

T(4) = 1+8 =9

Therefore the answer is c)9,17,25,33.

Hope it helps!

AfilCa [17]3 years ago

6 0

Answer: c) 9,17,25,33

Step-by-step explanation:

Use the equation $a_n=a_1+d(n-1)$

Where "n" is the nth term, $a_1$ is the first term, "d" is the common difference and "n" is a integer greater than zero.

Find the common diference "d":

$d=(-7)-(-15)\\d=8$

Then we know that:

$a_1=-15\\d=8\\$

Since we need to find the next four terms and we know three terms then:

For $n=4$ :

$a_4=-15+8(4-1))=9$

For $n=5$ :

$a_5=-15+8(5-1))=17$

For $n=6$ :

$a_6=-15+8(6-1))=25$

For $n=7$ :

$a_7=-15+8(7-1))=33$

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3 years ago

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3 years ago

The function rule of a certain function is y = -3x + 1. If the input is 7, what is the output?

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3 years ago

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See below

Step-by-step explanation:

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3 years ago

Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$

And rounded up we have that n=601

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3 years ago