A dolphin is swimming 20 feet below the surface. It descends another 10 feet before rising 2
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Answer:
95 percent confidence interval for μ is determined by
(60.688 , 69.312)
a) be the same
Step-by-step explanation:
<u>Step (i)</u>:-
Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.
The sample size is n= 121
The mean of the sample x⁻ = 65mph.
The standard deviation of the population is 22 mph
σ = 22mph
<u>Step (ii) :</u>-
Given The 95 percent confidence interval for μ is determined as
(61.08, 68.92)
we are to reduce the sample size to 100 (other factors remain unchanged) so
given The sample size is n= 100
The mean of the sample x⁻ = 65mph.
The standard deviation of the population is 22 mph
σ = 22mph
<u>Step (iii)</u>:-
95 percent confidence interval for μ is determined by
(65 - 4.312 ,65 +4.312)
(60.688 , 69.312) ≅(61 ,69)
This is similar to (61.08, 68.92) ≅(61 ,69)
<u>Conclusion</u>:-
it become same as (61.08, 68.92)
Answer:
+ 8x³ + 12x² - 16x + 4
Step-by-step explanation:
Given
[(x² + 4x) - 2 ]² ← simplify contents of bracket
= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis
= + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms
= + 8x³ + 12x² - 16x + 4