MATHEMATICS HIGH SCHOOL

Set P = (2, 3, 5, 5, 6) Set Q = (1, 2, 3, 4)If m is randomly selected from Set P and n randomly selected from Set Q, what is the probability that mn is an even integer?

3/4

11/16

9/16

1/4

3/16

Answers

Answer 1

Answer:

Answer:

Therefore, the correct answer is 9/16.

Step-by-step explanation:

To determine the probability that mn is an even integer, we need to consider the possible values of m and n.

Set P contains the elements (2, 3, 5, 5, 6), and set Q contains the elements (1, 2, 3, 4).

For mn to be an even integer, either m or n must be an even number.

In set P, there are two even numbers (2 and 6) out of a total of five elements. So, the probability of selecting an even number from set P is 2/5.

In set Q, there are two even numbers (2 and 4) out of a total of four elements. So, the probability of selecting an even number from set Q is 2/4 or 1/2.

To find the probability that mn is an even integer, we can consider the two cases:

If m is even and n is any number:

The probability of m being even from set P is 2/5, and the probability of n being any number from set Q is 1 (since any number can be selected from set Q). Therefore, the probability of mn being even in this case is (2/5) * 1 = 2/5.

If m is any number and n is even:

The probability of m being any number from set P is 1 (since any number can be selected from set P), and the probability of n being even from set Q is 1/2. Therefore, the probability of mn being even in this case is 1 * (1/2) = 1/2.

We can add these two probabilities to find the overall probability that mn is an even integer:

Probability = (2/5) + (1/2) = 4/10 + 5/10 = 9/10.

Therefore, the correct answer is 9/16.

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Answers

Answer:

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Step-by-step explanation:

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F(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).?? ?//

Answers

Answer:

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)

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144 is the _ power of 12

Answers

Answer:

144 is the second power of 12

Step-by-step explanation:

Here, we want to get the power of 12 that 144 is

Mathematically;

144 = 12^2

What this mean is that we have to raise 12 to 2 to get 144

Thus, our answer is that 144 is the 2nd power of 12

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Answers

10% of £64.00 is £6.40.

£64.00-£6.40=£58.60

Your answer is £58.60

What is the best estimate length of a football

Answers

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The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club.Price of Ink at Shopping Club
Number of ink cartridges purchased
Total cost for
members
(with membership fee)
Total cost for nonmembers
0
$30
0
1
$40
$25
2
$50
$50
3
$60
$75

Which statement is supported by the table?
The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.

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The relationship between the number of cartridges purchased and the total cost is proportional for neither members nor nonmembers.

The relationship between the number of cartridges purchased and the total cost is proportional for both members and nonmembers.