(x^4)^2 how do I simplify this expression?
2 answers:
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Answer:
The answer to your question is x = 3.356 cm
Step-by-step explanation:
This is a right triangle so we can use the Trigonometric functions to solve this problem.
Data
Ф = 40°
Adjacent side = 4 cm
Opposite side = x
Process
1.- We must know the lenght of the opposite side so we must use the tangent to solve it.
tangent Ф =
2.- Solve it for Opposite side
Opposite side = tanФ x Adjacent side
Opposite side = tan 40° x 4
Opposite side = 0.839 x 4
Opposite side = 3.356
Opposite side = x = 3.356 cm
Answer:
b) 74
The sample size that needs to be taken if the desired margin of error is 5 or less is 74
Step-by-step explanation:
<u>Explanation:</u>-
Given population variance σ² = 484
σ = √484
σ = 22
The level of significance ∝=0.95
The z-score of 0.95 level of significance = 1.96
Given Margin of error = 5
we know that the margin of error is determined by
cross multiplication, we get
Squaring on both sides, we get
n = (8.624) ²
n = 74.37 ≅74
<u>Conclusion</u>:-
The sample size that needs to be taken if the desired margin of error is 5 or less is 74