Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = 
= 
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = 
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
Answer:The fourth option
Step-by-step explanation:
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:
In between 4 and 6
Step-by-step explanation:
Since there are 2 negative signs it automatically goes to positive so u would go to positive 5, which is in-between 4 and 6!
Hope this helps!! :D
