1/3(9x-24) x simplify the expression

Answers

Answer 1

Answer: I hope this helps you

1/3 (9x-24)

1/3.9x-1/3.24

3x-8

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What percent is 33 of 96?

Answers

1. We assume, that the number 96 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 96 is 100%, so we can write it down as 96=100%.
4. We know, that x is 33% of the output value, so we can write it down as x=33%.
5. Now we have two simple equations:
1) 96=100%
2) x=33%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
96/x=100%/33%

34, basically just divide 33 and 96

A research firm wants to compute an interval estimate with 90% confidence for the mean time to complete an employment test. Assuming a population standard deviation of three hours, what is the required sample size if the error should be less than a half hour?

Answers

Answer:

n=97

Step-by-step explanation:

1) Notation and definitions

$\sigma=3$ population standard deviation known

Confidence=90% or 0.9

n sample size required (variable of interest)

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 sample mean have the following distribution

$\bar X \sim N(\mu, (\sigma)/(√(n)))$

2) Calculation for the sample size required

In order to find the critical value we need to take in count that we are finding the interval for the mean with the population deviation known, 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:

$z_(\alpha/2)=-1.64, t_(1-\alpha/2)=1.64$

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

$ME=z_(\alpha/2)(\sigma)/(√(n))$ (a)

And on this case we have that $ME =\pm 0.5$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=((z_(\alpha/2) \sigma)/(ME))^2$ (b)

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

$n=((1.64(3))/(0.5))^2 =96.83$

And rounded up we have that n=97

What percent of 67 is 33? Round to the nearest tenth of a percent

Answers

We will make a proportion:
67 : 33 = 100 : x
67 x = 33*100
67 x= 3300
x= 3300/97= 49.2537
Round to the nearest tenth:
Answer: 49.3%.

I'm not sure how to simplify this expression with the exponents rules of multiplication (10)(10^{3})(10^{2})

Answers

The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)

What is the sum of 2/5 and 2/4

Answers

Okay you want to find the common factor right? So then 2/5 fifth and 2/4 fourth have only 20 in common. So 2/5 times 4 is? 8/20 do not simplify so then 2/4 times five is 10/20 so then 8+10=18/20 simplify and you get 9/10.

Factor completely 5x2 − 40.5(x + 8)(x − 8)

5(x2 − 8)

5(x + 8)(x − 5

Prime

Answers

Your Answer:

C.) 5(x² - 8)

Step-by-step explanation:

If you were to redistribute the 5 in 5(x² - 8), you would get 5x² - 40, which was what you initially started off with.

Hope this helps y'all :)

The final result is equal to 5x^2+15x-200

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