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
Answer:
x=12
Step-by-step explanation:
The two angles shown are complementary angles, so the add to 90 degrees
x+42 + 3x = 90
Combine like terms
4x+42 = 90
Subtract 42 from each side
4x+42-42 = 90-42
4x = 48
Divide by 4
4x/4 = 48/4
x = 12
Answer:
2(3x-2(3x+2)
Step-by-step explanation:
1) 18x^2-8
2) 2(9x^2-4)
3) 2(3x-2)(3x+2)
