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Phantasy [73]
3 years ago
7

If prism A and Prism B have a ratio of similarity of 2:3, what is the volume of prism A if Prism B's volume is 56 cubic inches

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

16.6 in³

Step-by-step explanation:

Given the ratio of similarity = 2 : 3, then

the ratio of volumes = 2³ : 3³ = 8 : 27

let the volume of prism A be x then by proportion

\frac{x}{8} = \frac{56}{27} ( cross- multiply )

27x = 448 ( divide both sides by 27 )

x = 448 ÷ 27 ≈ 16.6 ( to 1 dec. place )

Prism A has a volume of approx 16.6 in³

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supporting answer:Because of its flared shape, a graphical representation of a normal distribution is sometimes referred to as a bell curve. The precise shape varies depending on the population distribution, but the peak is always in the middle and the curve is always symmetrical. The mean, mode, and median of a normal distribution are all the same.

body of the answer: given that x₁=mean+standard deviation

                                     given mean₁=462

                                                standard deviation =119

  x₁=462+119=581

  z₁=581-462/119=1

  A(1)=0.3413

given mean₂=584

        standard deviation=151

x₂=584+151

   =735

z₂=735-584/151

  =1

A(1)=0.3413

final answer:there fore both scores are normal

to learn more about normal distribution link

brainly.com/question/23418254#:~:text=Expert%2DVerified%20Answer&text=Most%20values%20are%20close%20to%20the%20mean%20value.,curve%20called%20the%20normal%20curve.

#SPJ4

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