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aivan3 [116]
3 years ago
15

What is the volume of the prism? *Do NOT round your answer.

Mathematics
2 answers:
natulia [17]3 years ago
7 0

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

Volume=lwh

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

so

V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3

Assoli18 [71]3 years ago
6 0

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=<em>300in³ </em>

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Answer:

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A group of four components is known to contain two defectives. An inspector tests the components one at a time until the two def
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when Y = 2, P(2) = 1/6 = 0.167

when Y = 3, P(3) = 2/6 = 0.333

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Step-by-step explanation:

Total number of possible ways to choose 2 components for defectives out of 4 components = 4C2 = 6

Y can only take values of 2, 3 and 4

So, Probability of Y = P(Y) = 1C(Y-1) / 6

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Answer:

The minimum value of f(x) is 2

Step-by-step explanation:

  • To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
  • Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)

∵ f(x) = 2x² - 4x + 4

→ Find f'(x)

∵ f'(x) = 2(2)x^{2-1} - 4(1)x^{1-1} + 0

∴ f'(x) = 4x - 4

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→ Add 4 to both sides

∵ 4x - 4 + 4 = 0 + 4

∴ 4x = 4

→ Divide both sides by 4

∴ x = 1

→ The minimum value is f(1)

∵ f(1) = 2(1)² - 4(1) + 4

∴ f(1) = 2 - 4 + 4

∴ f(1) = 2

∴ The minimum value of f(x) is 2

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