Answer:
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Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
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From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
Answer:
the answer would be 90
Step-by-step explanation:
100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.
3/8 times 240 elves is 90 elves.
If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!
The correct answer for the question that is being presented above is this one: "The axis of symmetry is to the left of zero." The a value of a function in the form f(x) = ax2 + bx + c is negative. The statement must be true is this The axis of symmetry is to the left of zero.<span>
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Answer:
P(t) is directly proportional to N and N'.
Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;
N is numbers of students who have heard the rumor of the exam's cancellation;
N' is numbers of students who have not heard the rumor of the exam's cancellation;
N' = (80 - N). Since the total number of students is 80;
K is the constant of the proportionality.
K is calculated to be 9/700
Therefore,
P(t) = KNN'
P(t) = (9/700) x N x (80 - N)
Step-by-step explanation:
The total number of students is 80. For N, N' = 80 - N.
Initially, 1 thousand people heard the rumor.
Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9
P = 9 = K x 10x (80-10)
9 = K x 10 x 70 = 700K.
Divide both sides by 700,
9/700 = (700/700)K
K = 9/700
Subtitle K into the equation P(t) = KNN'
P(t) = (9/700) x N x N'
P(t) = (9/700) x N x (80 - N), where N' = 80 - N
