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GrogVix [38]
3 years ago
9

How do you write 9,800,100 in expanded form using exponents?

Mathematics
1 answer:
NikAS [45]3 years ago
7 0
<span>(100 cubed x 9) + (100 squared x 8) + 10 squared = 9,800,100 </span>
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Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

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 0.06 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
3 years ago
Andrew needs to print a document that is 180 pages long. How much longer will it take to print the document on a Sure-Fire print
drek231 [11]
If you divide 180 by 12 you will get 15 and if you divide 180 by 15 you will get 12 then subtract both products and i t will give you the answer 3
7 0
3 years ago
Read 2 more answers
Abner wants to create a shopping budget where he spends less than $80 per month on clothes. He also wants to spend at least thre
strojnjashka [21]

Answer:

D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.

Step-by-step explanation:

In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.

So it would appear as s ≥ 3g.

If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.

60 ≥ 3(20)

60 ≥ 60. These numbers make the linear system true.

If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥  3g and plug in each variable from the answer choices until you find the variables that make the linear system true.


6 0
3 years ago
Read 2 more answers
A recipe uses 5 cups of water for<br> every 3 cups of flour?
Lerok [7]

Answer:

There's no context for a conclusion.

Step-by-step explanation:

Comment when you've edited the question.

6 0
2 years ago
Answer number one please
tankabanditka [31]

Answer:

-3 + 6 = -3

Step-by-step explanation:

add the terms -3 and 6

exponent law

6 0
3 years ago
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