Answer:
20%
Step-by-step explanation:
When you divide 40 by 8, you get 0.2. To convert a decimal into a percent, you multiply by 100 to get 20.
Hence,
8 is 20% of 40.
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Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Sample size, n = 30
Tcritical value = 2.045
Null hypothesis :
H0: μ = 9.08
Alternative hypothesis :
H1: μ≠ 9.08
Sample mean, m = 8.25
Samole standard deviation, s = 1.67
Test statistic : (m - μ) ÷ s/sqrt(n)
Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)
Test statistic : - 0.83 ÷ 0.3048988
Test statistic : - 2.722
Tstatistic = - 2.722
Decision region :
Reject Null ; if
Tstatistic < Tcritical
Tcritical : - 2.045
-2.722 < - 2.045 ; We reject the Null
Using the α - level (confidence interval) 0.05
The Pvalue for the data from Tstatistic calculator:
df = n - 1 =. 30 - 1 = 29
Pvalue = 0.0108
Reject H0 if :
Pvalue < α
0.0108 < 0.05 ; Hence, we reject the Null
Since this is a right triangle, you can use the main trig functions sin, cos, and tan. We must use sin for this problem because sin= opp/hyp. Plug in the numbers to this function. Sin (53) = a/25. Thus when you cross multiply, you get a= sin (53) x 25. When you plug it into a calculator the answer should come out to 19.97
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