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Ymorist [56]
3 years ago
14

PLESE HELP ASAP!!!! Worth 15 point plz help!!

Mathematics
2 answers:
yulyashka [42]3 years ago
8 0
The last expression is correct
Y_Kistochka [10]3 years ago
3 0

Answer:

The last expression is correct

Step-by-step explanation:

We have been given the following expression for simplification;

4^{4}*4^{-9}

The bases of the two expressions are the same. They are both equal to 4. When multiplying numbers with the same base, we simply add their exponents. In this case our exponents are;

4 and -9

adding them we have;

4 + (-9) = -5

The simplified expression thus becomes;

4^{-5}=\frac{1}{4^{5}}

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You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that
Nataly_w [17]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

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".  

Solution to the problem

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

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 0.13 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)  

We assume the value for \hat p =0.5 since we don't have previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

4 0
3 years ago
Read 2 more answers
What is 3+x if x = 2. Give answer but do not give detailed explanation. Thank you.
goblinko [34]

Answer: 3 + x = 5.

Step-by-step explanation:

2 + 3 = 5, if 2 = x. Hope this helps :)

4 0
3 years ago
Read 2 more answers
Lil help here please​
stepan [7]

Answer:

d=-48

Step-by-step explanation:

d=-8x6=-48

3 0
2 years ago
Read 2 more answers
Help please 20 points to who answers not 10 points 20
hichkok12 [17]

Answer:

Barbarian is the first.

Thatched is second.

Vassal is third.

Granary is fourth.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a
Ad libitum [116K]

Step-by-step explanation:

i = interest 3% for 30 years

This is a simple dynamical system for whom the the solutions are given as

S=R[\frac{(i+1)^n-1}{i}](i+1)

putting values we get

S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)

= $98005.35

withdrawal of money takes place from one year after last payment

To determine the result we use the present value formula of an annuity date

P = R\frac{1-(1+i)^{-n}}{i}{i+1}

we need to calculate R so putting the values and solving for R we get

R= $6542.2356

8 0
3 years ago
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