Hello!
In this case, you are looking for a value of K so the left side of the equation is equal to the right.
The left side of the equation is K (3x - 2), and the right is 4 - 6x. To get the left side to equal the right, you can set K = -2. This is because of the <u>distributive property</u>: a number just outside of the parenthesis can distribute to everything in the parenthesis like so:
-2 (3x - 2) = (-2 * 3x) - (-2 * -2) = -6x + 4
Therefore, your answer is K = -2.
Hope this helps!
(Side note: a better way to do this would be to divide both sides by 3x - 2)
Answer:
2 + 3 = 5 is the correction
Step-by-step explanation:
Simply input 3 for x in the equation.

6.
a. P(2 or 4) is the probability of rolling either a 2 or a 4 on the die.
P(2 or 4) is equal to P(rolling a 2) + P(rolling a 4)
1/6 + 1/6 = 2/6 = 1/3
b. P(greater than 2) is equal to P(3) + P(4) + P(5) + P(6)
1/6 + 1/6 + 1/6 + 1/6 = 4/6 = 2/3
7. The probability of getting a head is 1/2. If you toss the coin two times, there are four different possibilities. HH, TT, HT, or TH. The answer would be 1/4, you get that by multiplying 1/2 by 1/2 again.