Answer:
19 ft.
Step-by-step explanation:
Pytahgorean theorm. A^2 + B ^2 = C^2
49 + 100 = 149
Square root the 149, which is ~12
That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.
A decade is 10 years which means 1/5 is 2 years. thus making 2/5 4 years.
Since Jasmine has 12 strawberries and George has 6 times has many, you can multiply 12 by 6 to get the number of strawberries George has in his bag.
6 x 12 = 72.
George has 72 strawberries in his bag
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
Lets see together how it gets done
120 180
160 200
200 220
240 240
so the answer is 3 months
