Find the volume of an icecream cone that has an hight of 4.6 in. and a diameter of 1.2 in.
1 answer:
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Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.
![\begin{tabular} {|c|c|c|c|c|c|} &Frequently&Occassionally&Not at all&Total\\[1ex] Male&227&454&798&1,479\\ Female &205&450&747&1,402\\ Total&432&904&1,545&2,881 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0A%20%26Frequently%26Occassionally%26Not%20at%20all%26Total%5C%5C%5B1ex%5D%0AMale%26227%26454%26798%261%2C479%5C%5C%0AFemale%20%26205%26450%26747%261%2C402%5C%5C%0ATotal%26432%26904%261%2C545%262%2C881%0A%5Cend%7Btabular%7D)
Part A:
If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by
Part B:
If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by
Part C:
If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by
Part D:
If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by
Part E:
The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.
Indeed from the table, there are 205 females who are frequently involved in charity work.
Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
Part A:
If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by
Part B:
If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by
Part C:
If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by
Part D:
If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by
Part E:
The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.
Indeed from the table, there are 205 females who are frequently involved in charity work.
Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,
where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and
Hence, substituting these values in the above formula, we get,
Simplifying the terms, we get,
Adding the terms, we have,
Thus, the surface area of the triangular prism is 1664 square inches.