MATHEMATICS
MIDDLE SCHOOL

Answer:

MIDDLE SCHOOL

Prove that the value of the expression: (3^5–3^4)(3^3+3^2) is divisible by 24 NEED HELP URGENTLY!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

first we expand the whole expression.

(3^5 - 3^4) (3^3 + 3^2)

= 3^8 + 3^7 - 3^7 - 3^6

= 3^8 - 3^6

Note that 3^6 is a common factor.

=3^6 ( 3^2 - 1)

= 3^6 * 8

=3^5 * 3*8

=3^5 * 24

So the result shows that 24 is a factor of the expression.

Therefore, the expression is divisible by 24.

Hope it helps and if it does, please mark me brainliest...

MIDDLE SCHOOL

How to write 48 /50 as a percentage

96% ................

To solve this, you can either change it to a decimal or change the denominator to 100.

To solve this by changing it to a decimal, you would first convert the fraction to a decimal.

= 0.96

Then, you would move the decimal point two space to the right. Giving you...

96%

Now, to solve this by changing the denominator to 100, you would multiply the top and bottom by 2. Giving you...

= 96%

Your answer would be 96%.

I hope this helps!

To solve this by changing it to a decimal, you would first convert the fraction to a decimal.

= 0.96

Then, you would move the decimal point two space to the right. Giving you...

96%

Now, to solve this by changing the denominator to 100, you would multiply the top and bottom by 2. Giving you...

= 96%

Your answer would be 96%.

I hope this helps!

HIGH SCHOOL

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=250,95% confidence nothingless thanpless than nothing (Round to three decimal places as needed.)

Answer:

And the 95% confidence interval would be given (0.456;0.544).

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

The confidence interval for a proportion is given by this formula

For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

The estimated proportion is :

And replacing into the confidence interval formula we got:

And the 95% confidence interval would be given (0.456;0.544).

MIDDLE SCHOOL

Stephen Thublin invests $1,000,000 in a 45-day certificate of deposit with 6.55% interest. What is the total interest income from the investment?

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