10 and so the second fraction would be 5/10
Answer:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
Step-by-step explanation:
Setting the null and alternative hypothesis :
H0 : μ = 3.5
H1 : μ < 3.5
Sample size (n) = 40
Mean (m) = 3 minutes
Standard deviation (s) = 1.1 minutes
Test statistic : Z = (m - μ) / (s/√n)
Z = (3 - 3.5) / (1.1/√40)
Z = - 0.5 / 0.1739252
Z = - 2.8747978
Zcritical at α 0.05 = 1.645
This is a left tailed test :
Hence rejection region:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
Value of cos(x+π) =
Given cosine of x =
i.e., cos(x) =
Also cos() = . So x = .
We need to find cos(x+π) = cos().
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - =
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
Learn more about Cos(x+π) trigonometric formula at brainly.com/question/12243383
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Answer:
yup this explanation is correct you will get good grade
Answer:
Step-by-step explanation: