<u>Answer:</u>
Probability of getting three jacks = 
<u>Step-by-step explanation:</u>
We are given that we deal with three cards from a regular deck of 52 cards.
We are to find the probability of getting all three Jacks.
There are a total of 4 jacks in a regular deck of 52 cards.
Therefore, the probability of getting three jacks =
Answer:
1) x= -36.
2) x = 0.
Step-by-step explanation:
1) Taking the 3rd power to both sides and using the following exponent law:
we get:
So this tells us that x = -36.
2) We can distribute the power inside every term. So the left side becomes:
Now, the trick here is to remember that 
, so replacing 1 with 
, which then gives us:
, telling us that 3x = 0 and thus, x = 0.
Answer:
• 2/3|2 -x| = 1/15
• |2 -x| = 1/10
• 1/5 +|4/3 -2/3x| = 4/15
Step-by-step explanation:
Starting with the given equation, subtract 1/5 = 3/15.
(2/3)|2 -x| = 4/15 - 3/15
(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice
Now, multiply by 3/2.
|2 -x| = 3/30
|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice
___
If you decide to distribute the coefficient 2/3 instead, you have
1/5 + |2·2/3 -x·2/3| = 4/15
1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice
You can find the answer by substituting the x-values provided in the question and seeing if you get what the question says.
a satisfies all of the parameters.
b doesn’t satisfy g(-1), so it’s not b.
c doesn’t satisfy g(-1), so it’s not c.
d doesn’t satisfy g(-1), so it’s not d.
The correct answer is a.
