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3 years ago

3, 9, 27, 81... Which exponential function describes the given sequence? A) y = (- 1 3 )x B) y = 1 3 x C) y = (-3)x D) y = 3x

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

D) Y=3x

3*3=9
9*3=27
27*3=81

nataly862011 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

The common ratio is 3. The first term is 3 or 31; the second term is 9 or 32; the third term is 27 or 33; the fourth term is 81 or 34. The correct answer is y = 3x

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a circle has a radius of 9. An arc in this circle has a central angle of 120°. What is the length of the arc?

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4 years ago

The following table shows the data collected from four random samples of 50 students from a small middle school regarding their

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Answer:

The reading that is preferred by the majority of students in the samples is:

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We are given table of data that represents the reading preferences of 50 students as:

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in a survey of 7000 women 4431 say they change their nail polish once a week.Construct a 95% confidence interval for the populat

andreyandreev [35.5K]

Answer:

The 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

Step-by-step explanation:

Data given and notation

n=7000 represent the random sample taken

X=4431 represent the people that said that they change their nail polish once a week

$\hat p=\frac{4431}{7000}=0.633$ estimated proportion of people that said that they change their nail polish once a week

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that said that they change their nail polish once a week

Solution to the problem

The confidence interval would be given by this formula

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

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.633 - 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.622$

$0.633 + 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.644$

And the 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

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