sally has 20 coins in her piggy bannk, all dimes and quarters. the total amount of money is $3.05. how many of each coin does sh
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Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
<u>Solution:</u>
Given that
A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches
Need to find the relationship between volume of cylinder and cone.
Let’s calculate volume of each object separately first.
<em><u>Calculation of volume of cylinder :</u></em>
Formula of volume of cylinder is given as:
Where π=3.14
height h = 12 inches
On substituting given values in formula of cylinder we get
<em><u>Calculation of volume of cone:</u></em>
Formula of volume of cone is given as:
Here π=3.14
On substituting given values in formula of cone we get
On comparing the two volumes we get
Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
- z is the critical value.
- n is the sample size.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
The sample size is n when M = 29, hence:
n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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