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2 answers:
Answer:
x = ± 2
Step-by-step explanation:
Given
(x² + 4)² - 11(x² + 4) + 24 = 0
Use the substitution
u = x² + 4, then
u² - 11u + 24 = 0 ← in standard form
(u - 3)(u - 8) = 0
Equate each factor to zero and solve for u
u - 3 = 0 ⇒ u = 3
u - 8 = 0 ⇒ u = 8
Change u back into terms of x
x² + 4 = 8 ( subtract 4 from both sides )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
One value of x tat is a solution is x = 2
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Answer:
The mean of the distribution of sample means is 27.6
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 27.6
Standard Deviation, σ = 39.4
We are given that the population is a bell shaped distribution that is a normal distribution.
Sample size, n = 173.
We have to find the mean of the distribution of sample means.
Central Limit theorem:
- It states that the distribution of the sample means approximate the normal distribution as the sample size increases.
- The mean of all samples from the same population will be approximately equal to the mean of the population.
Thus, we can write:
Thus, the mean of the distribution of sample means is 27.6