Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
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The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
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A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
Answer:
PART 2:
Total cost is 1198.8
Colored glass=
540/ 108
clear glass=
216/108
materials=
10.8/108
Frame=
432/108
PART 3
The window would be 4.5 ft tall and 6 ft wide
Colored glass =
135/27
clear glass =
54/27
frame =
108/27
materials=
2.7/27
ADD
135+108+54+2.7= 299.7
Answer:
Step-by-step explanation:
3² * 5³ = 3*3 * 5*5*5
= 9 * 125
= 1125
They are both similar because you just have to multiply 7 x 2 and then add the zeros. 7 x 20 is 140 and 7 x2000 is 14000
The simplest form of 204/72
=17/6