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Contact [7]
3 years ago
12

Find the missing height of a rectangular prism that has a volume of 137.5 inches with a width of 2.5 and length 10 in

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

The answer would be 5.5

Step-by-step explanation:

To prove it, 10 x 2.5 x 5.5 would equal 137.5

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6. The heights of men selected from a particular population have a normal distribution with mean 68 inches and standard deviatio
olchik [2.2K]

Answer:

a) the proportion is 0.159 (15.9%)

b) the proportion is 0.524 (52.4%)

c) Ralph is 70.958 inches tall

Step-by-step explanation:

defining our random variable X= heights of men , then we can define the standard random variable Z as

Z= (X- μ)/σ , where  μ is the population's mean and σ is the corresponding standard deviation of X

then for X=72

Z= (X- μ)/σ

Z= (72-68)/4 = 1

a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)

b) for X=64 and X=74

Z₁= (64 -68)/4 = -1

Z₂= (74-68)/4 = 1.5

then

P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) =  0.933- 0.159 =0.774

c) Z₃ = 0.933 - 0.774*0.25 = 0.7395

thus

Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4  = 70.958 inches

therefore Ralph is 70.958 inches tall

4 0
3 years ago
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