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Semmy [17]
3 years ago
7

Find the volume of the prism

Mathematics
1 answer:
leva [86]3 years ago
8 0

Using the formula given for area:

Area = 1/2 (7 +5)4 = 1/2(12)4 = 24 square cm.

Now to find the volume multiply the area by the depth:

24 x 6 = 144 cubic cm.

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Yet again I still get confused
ryzh [129]
The left side is a half circle.
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The diameter of the circle would be the height of the rectangle, given as 10 feet.
 The radius is 1/2 the diameter, so 5 feet.

The area of half the circle is  (3.14 x 5^2) / 2 = 39.25 square feet.

The area of the rectangle is  20 x 10 = 200 square feet.

Total area = 200 + 39.25 = 239.25 square feet.

6 0
3 years ago
x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 de
barxatty [35]

Answer:

The standard deviation of this probability distribution is 1.2.

Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35

Mean:

Each value multiplied by its probability. So

M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55

Variance:

Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475

Standard deviation:

Square root of the variance. So

S = \sqrt{V} = \sqrt{1.4475} = 1.2

The standard deviation of this probability distribution is 1.2.

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3 years ago
What is 90a + (78b - 56e) - 46 + 981c ?
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Step-by-step explanation:

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How to know if the number is a perfect square​
emmasim [6.3K]

Answer:

Step-by-step explanation:

Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square

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EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.

3 0
3 years ago
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