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3 years ago

Order the following numbers form least to greatest 10^5 10^-99 10^-17 10^14 10^-5 10^30

1 answer:

8 0

10^ -99, 10^-17, 10^-5, 10^5, 10^14, 10^30
Negative power will make the number smaller and positive power is going to be the largest.

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How can you write 15abc in expanded form

Ghella [55]

Answer:

15(a)(b)(c)

Step-by-step explanation:

I don't know what your asking for

6 0

2 years ago

Read 2 more answers

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

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

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

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

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 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

3 years ago

A magazine costs 4.95 per month. If you buy a one year subscription, it's 30% cheaper. How much will you pay in one year with th

astraxan [27]

Answer:

41.48/year

Step-by-step explanation:

4.95 x 12 = 59.40

59.40 × .30 = 17.82

59.40 - 17.82 = 41.48

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2 years ago

One spinner is divided into five equal sections numbered 1 to 5. A second spinner is divided into seven equal sections numbered

White raven [17]

Spinning the first and second spinner will give 5 and 7 outcomes, respectively. To determine the total combinations or total outcome if these two are spun, use the <em>Fundamental Principles of Counting</em>. The total outcome is the product of the two outcomes. Thus, the answer is 35.

7 0

3 years ago

Read 2 more answers

Together, a skateboarder and a bicycle cost $199.00. The skateboard costs $51.00 less than the bicycle. How much does each cost?

WITCHER [35]

Answer:

Bike=125 Skateboard= 74

Step-by-step explanation:

x + (x-51)= 199

2x-51=199

2x=250

x=125

125+ (125-51)=199

125+74=199

7 0

3 years ago