Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
2 answers:
The volume of a prism is its base area times its height. If we compare this to the formula of the pyramid,we will see one is exactly a third of the other. This means that the volume of a pyramid is exactly one third the volume of the prism with the same base and height.
The volume of a pyramid is one-third the volume of a prism with the same base and height because the formula for volume of prism is V=B.h.where B is area of base and h is height.The formula for volume of pyramid is
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Answer:
There is no sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
We are given;
n = 27 bags
Sample mean;X = 402 gram
Population mean;μ = 404 gram
Variance = 676
We know that, standard deviation(σ) = √variance
Thus;
σ = √676
σ = 26
The hypotheses are;
Null hypothesis; H0: μ = 404
Alternative hypothesis; HA: μ < 404
Let's find the z-score from the formula;
z = (X - μ)/(√σ/n)
z = (402 - 404)/√(26/27)
z = -2.04
From the z-distribution table attached, we have a p-value of 0.02068
This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
