Answer:
see explanation
Step-by-step explanation:
(1)
x² - 6 = 2 - 18x ( add 18x to both sides )
x² + 18x - 6 = 2 ( add 6 to both sides )
x² + 18x = 8
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(9)x + 81 = 8 + 81
(x + 9)² = 89
(2)
(x + 9)² = 89 ( take square root of both sides )
x + 9 = ± ( subtract 9 from both sides )
x = - 9 ±
Answer:
μ= 65 inches; σ= 0.625 inch
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
By the central limit theorem, the sample of 16 will have:
So the correct answer is:
μ= 65 inches; σ= 0.625 inch