Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:
Standard deviation = 
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more
Refer the z table for p value
Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
The area of the parallelogram is given by:
A = b * h
Where,
b: base
h: height
Substituting values we have:
A = (16.5) * (6)
A = 99 feet ^ 2
The number of packages will be:
N = 99/5
N = 19.8
Rounding:
N = 20
Answer:
It will be needed 20 packages of tile to tile the music room floor
Answer:
I think interest earned ❤️
Factor 36 and add them, make sure both are negatie
1+36=37, nope
2+18=20 nope
3+12=15,nope
4+9=13, nope
6+6=12, nope
the closest one is 20
I hope you meant adds to -20, because if you did, then answer is -2 and -18
if you did mean 36 and adds to -21, then the numbers are
and
, aprox -19.1168 and -1.8831
Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,
μ = 97
Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is
σ = 17/√n
We want to be 95% certain
97 - 5 ≤ x ≤ 97 + 5
By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that
μ - 2σ ≤ x ≤ μ + 2σ
Comparing to what we want, that's means we have to solve
2σ = 5
2 (17/√n) = 5
√n = 2 (17/5)
n = (34/5)² = 46.24
We better round up.
Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean
