If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.
P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10
Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D
<h3>
Answer: (x-2)(x-2)</h3>
This is the same as 
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Explanation:
The middle coefficient is -4 and the last term is 4.
We need to find factors of the last term that add to the middle coefficient.
Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.
- -1 + (-4) = -5
- -2 + (-2) = -4
- 2 + 2 = 4
- 1 + 4 = 5
The second row of that list above is what we're after. So
-2 + (-2) = -4
-2 * (-2) = 4
Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor
We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.
9514 1404 393
Answer:
total: 2.85 hours = 2 17/20 hours
Step-by-step explanation:
<u>Strategy</u>: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.
3/4 = 0.75
1/5 = 0.2
<u>Solution</u>:
raking time: 0.75 hours
weeding time: 0.75 +0.2 = 0.95 hours
mowing time: 0.95 +0.2 = 1.15 hours
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Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours
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<em>Additional comment</em>
You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.
Your answer choice will be C. because the company is conveniently choosing every 53rd voucher without any real strategy to it.
