Y = k / x² ( y varies inversely as the square of x )
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8 / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200
At 0.01 significance level the hypothesis is rejected.
Null Hypothesis (H₀): The sample data occurs purely from chance.
Alternative Hypothesis (H₁): The sample data is influenced by some non-random cause.
If the p-value of the hypothesis test is less than some significance level (e.g. α = .01), then we can reject the null hypothesis and conclude that we have sufficient evidence to say that the alternative hypothesis is true.
Given that,
x = 28
s = 2.9
μ = 31
n = 8
α = 0.01
Then, the Null Hypothesis : H₀ = 31
The Alternate Hypothesis : H₁ < 31
The average number of cigeratte smoker per day is less than 31.
Test Statistics:
t = x -μ / s√n
= 28 - 31/ 2.9√8
= -3/ 8.41
= -0.356
Since the p-value of 0.0046 is less than the significance level of 0.01, the auditor rejects the null hypothesis.
Learn more about Null hypothesis:
brainly.com/question/28920252
#SPJ4
Answer:
1534 pudding cups
Step-by-step explanation:
The volume of the tub with dimensions 5 ft × 5 ft × 2.5 inches is ...
(5×12 in)×(5×12 in)×(2.5 in) = 9000 in³
The volume of 3.25 fluid ounces is (231/128)×3.25 in³, so the number of pudding cups required to fill the "hot tub" is ...
(9000 in³)/(231/128×3.25 in³) ≈ 1534.47 . . . pudding cups
_____
If the tub is 2.5 ft deep, not 2.5 inches, then the number of pudding cups required is 12 times this amount, or ...
12×1534.47 ≈ 18,413.59 ≈ 18,414 . . . pudding cups
This is because the tub volume is not 9000 in³, but is 12 times that amount, or 108,000 in³.
Answer:
31 units
Step-by-step explanation:
I just did it
The square root of 46 is 6.78
