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3 years ago

Simplify 4radical2plus7radical2minus3radical2

1 answer:

3 0

Let "radical 2" be represented by "r."

Then you are to simplify 4r + 7r - 3r. This comes out to 11r - 3r = 8r.

The answer is 8 radical 2.

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The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. F

gogolik [260]

Answer:

Surface area: 250

Volume: 1375

Step-by-step explanation:

Scale factor: 4:5

This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So

$S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250$

Volume:

The volume is found multiplying the cube of the change(5/4) by the original volume(704). So

$S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375$

6 0

3 years ago

My number has ones, tenths and hundredths. Rounding to the nearest whole number, you get 4. Rounding it to the nearest tenth, yo

Svetach [21]

Answer:

3.54

Step-by-step explanation:

Well, we know it has to be 3.5 as our ones, and tenths place, (Thats what I did), and we know it can't be less than 3 for our hundredths place

If we do 0.05, or more as our hundredths place, than we won't be rounding right for the tenths place, so it has to be 3.54

6 0

3 years ago

Read 2 more answers

Nick and Liz have decided to move from the city to the suburbs. This means that they will have to make the essential purchase of

sineoko [7]

Answer:

$=19400

Step-by-step explanation:

Average prices= $18,500

Number of prices that were quoted= 7

Expected sum that produces this mean= 7*18,500=$129,500

Sum of quoted prices=

$(15,500+ 18,800+ 16,900+ 19,900+18,000+21,000) =$110100

Next price to be quoted will be ;

$129,500-$110,100

$=19400

6 0

3 years ago

A polling company conducted a survey asking 40 fourth year students from Ohio and 33 fourth-year students from Pennsylvania abou

miv72 [106K]

Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that $\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416$