No, the cone and the cylinder can't have congruent heights and bases.
<h3>
is it possible that the two cones have congruent bases and congruent heights?</h3>
The volume of a cylinder of radius R and height H is:
V = pi*R^2*H
And for a cone of radius R and height H is:
V = pi*R^2*H/3
So, for the same dimensions R and H, the cone has 1/3 of the volume of the cylinder.
Here, the cylinder has a volume of 120cm³ and the cone a volume of 360cm³, so the cone has 3 times the volume of the cylinder.
This means that the measures must be different, so the cone and the cylinder can't have congruent heights and bases.
If you want to learn more about volumes:
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Answer:
450
Step-by-step explanation:
Area of the base: 1/2(5+7.5)(6)
1/2(75)= 37.5
Volume= Area of the base* height
37.5(12)= 450
Answer:
Step-by-step explanation:
It's 14
Answer:
c) 72% is a statistic and 56% is a parameter.
Step-by-step explanation:
Previous concepts
A statistic or sample statistic "is any quantity computed from values in a sample", for example the sample mean, sample proportion and standard deviation
A parameter is "any numerical quantity that characterizes a given population or some aspect of it".
Solution to the problem
For this case we know that they select a sample of 663 registered voters and the sample proportion from these registered voters is:
representing the sample proportion of people who voted in the election
They info that they have is that the true proportion before is
and that represent a value related to the population.
So on this case the 0.72 represent a statistic since represent the sample and the 0.52 is a value who represent the population for this case is a parameter.
So the correct option is:
c) 72% is a statistic and 56% is a parameter.
Answer:
Upper P95 = 16.21in
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Upper P 95
This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
Then




Upper P95 = 16.21in