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babymother [125]
1 year ago
13

Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cub

ic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
mash [69]1 year ago
7 0

Answer:

12.5%    Step 1  to find volume of Pyramid A  Step 2 is find percentage through division then multiplication of 100  

Step-by-step explanation:   Length of one side of the base (a) = 14 in

Height of square pyramid (h) = 6 in

Using the square pyramid volume formula,

Volume = 1/3 x a^2 x h

Volume = 1/3 x 14^2 x 6

Volume = 392 in3

The volume Pyramid A is 392 cubic inches.

Pyramid A has a volume = 392 cubic units     Pyramid B has a volume of 3,136 cubic inches.    to find percentage 392 of 3136 we divide then * 100   To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator...  = (392/3136 ) x 100% = 12.5%   Proof is  (12.5 * 3136 ) / 100 = 392      

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3 years ago
Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m
tatuchka [14]

Answer:

a)= 2

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Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

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if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
2 years ago
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Step-by-step explanation:

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