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3 years ago

AMELIA IS SHARING 4 SLICES OF CHEESE WITH 5 FRIENDS. HOW MUCH CHEESE WILL EACH PERSON GET? EXPLAIN HOW YOU DECIDED.

Mathematics

1 answer:

Degger [83]3 years ago

3 0

Answer:

well this is very easy all you have to do is divide 4 by 5 and you will get 4 with a remander of 1 or 0.8 or if this was a real life scenario then you could just take that extra slice and cut it in five ways. hope this helped! can i get brainiest plzz? im only ONE away from getting up to expert!

Step-by-step explanation:

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Explain how you could write 45 3/8 in scientific notation

vlada-n [284]

First you must change 3/8 into a decimal, so the number would be 45.375. To find scientific notation you have to move the decimal between a factor of 1-10. 4.5375 . You moved over the decimal once toward the left. so scientific notation would be 4.5375 X 10^1

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2 years ago

A baseball hat for $22.90 at 5% sales tax

vovikov84 [41]

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3 years ago

Read 2 more answers

A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally

patriot [66]

Answer: 0.0775

Step-by-step explanation:

Given : Mean : $\mu = 25$

Standard deviation : $\sigma =15$

Sample size : $n=36$

Since its normal distribution , then the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x= 28.2 hours

$z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28$

For x= 30 hours

$z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2$

The P- value = $P(1.28$

$=P(z$

Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775

6 0

3 years ago

A $500 television is on sale for 20% off. However, you must pay 6% in sales tax. What is the final price of the television after

GrogVix [38]

20% off means you are paying 80% of the original price ( 100% - 20% = 80%)

Multiply the price of the tv by 80% to find the sale price:

500 x 0.80 = 400

Now multiply the sales price by 1 plus the tax rate to find final cost:

400 x 1.06 = 424

Final price including tax is $424

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3 years ago

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

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:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago