The length of would be 9 and the width 7, resulting in an area of 63
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
Answer:
Answers are below
Step-by-step explanation:
Minimum: 2.50(1.01)^10 = $2.76
Maximum : 2.50(1.01)^20 = $3.05
If these answers are correct, please make me Brainliest!
Answer:
154cm2 (rounded to the nearest one)
Step-by-step explanation:
its just the radius (half the diameter) squared (times by itself) then times by pi π, simpified, πR2
1. Translate words into equation :
Brian= b
Natasha =n
N+3n=88 (because brian has 3x more than natasha u can rewrite b as 3n)
2. Solve : 4n=88 (divide by 4)
N=22 so natasha has 22 marbles and since b=3n, brian has 66 marbles
