Answer:
the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Step-by-step explanation:
since the variance S² of the batch follows a normal distribution , then for a sample n of 20 distributions , then the random variable Z:
Z= S²*(n-1)/σ²
follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom
since
S² > 3.10 , σ²= 1.75 , n= 20
thus
Z > 33.65
then from χ² distribution tables:
P(Z > 33.65) = 0.02020
therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)
Answer:
Each person gets one eighth of the pie.
Step-by-step explanation:
1/2 pie divided by 4.
1/2 / 4 = 1/2 / 4/1 = 1/2 × 1/4 = 1/8
Answer: Each person gets one eighth of the pie.
Answer:
your answer could be A
Step-by-step explanation:
The amount of soil that the pot can hold is best approximated by calculating for the volume of the cylinder through the equation,
V = πr²h
We first calculate for the radius, r, given the circumference, C
C = 2πr; r = C/2π = 66 in/2(π) = 10.5 in
Then, substituting the known values.
V = π(10.5 in)²(30 in)
V = 10,390.81 in³
Thus, the volume of the soil is approximately 10,400. The answer is the third set.
Answer:
Step-by-step explanation:
Given
Garden:
One Bag:
Requires
Determine the number of bags to cover the whole garden
This is calculated as thus;
Expand the numerator
Express 81 as 9²
Evaluate as difference of two squares
Hence, the number of bags is