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jeyben [28]
3 years ago
8

a rectangular prism has a volume of 300 cm squared if the scale factor of the second rectangular prism is 3.5 what is the volume

of the second rectangular prism
Mathematics
1 answer:
velikii [3]3 years ago
6 0
Volume of rectangular prism= 30 cm³
Formula for volume of rectangular prism:
V=whl
Scale factor of second prism= 3.5 
Which is 3 and a half times greater than the 1st one.
So volume of 2nd prism = 3. 5 x 300 
V= 1050 cm³

Answer: Volume of second Rectangular Prism is 1050 cm³
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Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the large
mamaluj [8]

Answer:

s = 0.0394

Step-by-step explanation:

Given:

0.612 0.523  0.606 0.631  0.584  0.592  0.644  0.597  0.639  0.607  0.564  0.673

Required

Calculate the sample standard deviation

First, calculate the mean

\bar x = \frac{\sum x}{n}

\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644  +0.597 +0.639  +0.607 +0.564+ 0.673}{12}

\bar x = \frac{7.272}{12}

\bar x = 0.606

The sample standard deviation is then calculated using:

s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597  -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2

\sum (x - \bar x)^2 = 0.017098

So, we have:

s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

s = \sqrt{\frac{0.017098}{12-1}}

s = \sqrt{\frac{0.017098}{11}}

s = \sqrt{0.00155436363}

s = 0.0394 -- approximated

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3 years ago
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Zac bought a board game that includes 30 blue game pieces and 40 green game pieces what is the ratio of blue game pieces to gree
miss Akunina [59]

Answer:    3:4

Step-by-step explanation:

If you divide both 30 and 40 by 10 you get 3 and 4

Since it says blue:green the answer is 3:4

4 0
4 years ago
How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d
Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

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90 feet per minute to yards per sec
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