Answer:
D. Since the P-value is less than 0.05, we reject the null hypothesis and conclude that there is a difference in the softness level achieved by the two processes.
Step-by-step explanation:
H0: μ1 - μ2 = 0
Ha: μ1 - μ2 ≠ 0
Test statistic t = 3.328, P-value = 0.0014, DF = 69.97
The Critical value for df = 69.97 is t ( ∝/2) (df): ±1.9945
The calculated t value falls in the critical region so H0 is rejected
As P - value is less than significance level H0 is rejected .
It is a two tailed test and the P - value is0.0014 which is less than 0.05 the significance level.
This means the softness achieved by Process A is considered to be not equal to the softness achieved by the Process-B .
Only choice D is correct.
Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
Step-by-step explanation:
surface area of cylinder =
2πr(r+h)
2×<u>2</u><u>2</u>×7(7+5)
7
44(7+5)
44(12)
528
Answer:
B
Step-by-step explanation:
Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle
= ½*2πr + 2(L + W) - L
Where,
r = 8
π = 3.14
L = 16
W = 12
Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16
= 25.12 + 56 - 16
Perimeter of the composite figure = 65.12 inches
Area of the composite figure = ½(πr²) + L*W
= ½(3.14*8²) + 16*12
= 100.48 + 192
Area = 292.48 square inches
Answer:
axis of symmetry is x = 1; vertex is (1,8)
