The final expression in standard form will be 1.601 * 10^9
<h3>Indices and expoenets</h3>
Given the expression as shown:
800.5 * (2*10^6)
This can be further simplified as:
The final expression in standard form will be 1.601 * 10^9
Learn more on indices here: brainly.com/question/10339517
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
Circumference=diameter times pi
diameter=12
circumference=12 times pi
we use pi=3.14
circumfernce=12 times 3.14
circumference=37.68 ft
round to tenth
8 is greater than 5 so roundup
37.7ft
499-162=287
287 rounded to the nearest hundred is 300
the answer is 300
