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:
The final answers are n = 0 or n = -1/4.
Step-by-step explanation:
Given the equation is -5n(4n + 1) = 0.
The Zero-Product property says "if x*y=0, then x=0 or n=0 or both."
we have -5n(4n + 1) = 0.
We know -5 is not equal to 0.
It means n = 0 or 4n+1 = 0.
n = 0 or 4n = -1.
n = 0 or n = -1/4
So, final answers are n = 0 or n = -1/4.
The way I'd do this is by elimination. Multiply 4x+y=-10 by -14x+4y=20-4x-y=105y=30y=6
As for x multiply 4x+y=-10 by -4
4x+4y=20-16x-4y=4012x=60
x=5
Area by Heron's formula:
semiperimeter = (15 + 20 + 25)/2 = 60/2 = 30 cm
The formula of the area of a triangle: Area = 1/2 * base * height
1/2 * 25 * height = 150
12.5 * height = 150
height = 150/12.5
height = 12 cm
