Probability is defined as the <u>likelihood or the certainty</u> that an event is going to<u> occur or happen.</u>
The probability of randomly choosing a red and then a green marble is 
.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
<u>The probability of choosing a red marble</u> = Number of red marbles / Total number of marbles
= 5/20
<u>In simplest fraction form</u> = 
We are told in the question that you keep the red marble you choose, So this means the <u>total number of marbles</u> left reduces to 19
<u>The probability of choosing a green marble is</u> = Number of green marbles / New total number of marbles
= 3/19
Therefore, <u><em>the probability of randomly choosing a red and then a green marble is </em></u>
P (Red) x P(Green)
= 1/4 x 3/19
=
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Answer:
p + 111 = 210
p = 99
Step-by-step explanation:
Break the question down into parts.
<u>Convert each part into algebraic form</u> (numbers or symbols).
210 => 210
is equal to => =
the total of p and 111 => p + 111
Put the equation together:
210 = p + 111
Usually, the variable is on the left side:
p + 111 = 210
<u>To solve the equation is to isolate "p"</u>. This means to keep "p" on the left, and move everything else to the right side. When moving something, do the <u>reverse operation</u> to both sides of the equation.
p + 111 = 210 "111" should be on the left. It's opposite is -111.
p + 111 - 111 = 210 - 111 Simplify. "111" cancels out on the left.
p = 99 Solved for "p"
The answer is .... C. d>0
Hope it helps !!!!
Answer: (8,8)
Step-by-step explanation:
First you need to get a x or y by itself.
I choosed to get y by itself since it would be faster.
-2x + y = -8 (first get -2x to the other side so add 2x)
y = -8 + 2x (then you want to insert that to the other equation)
-x + 4( -8 +2x) = 24 -> -x -32 + 8x = 24 -> 7x -32 = 24
(add 32 to the other side)
7x = 56 (divide 7 to 56 to get x) x = 8
now insert into the other equation
-2( 8 ) + y = -8 -> -16 + y = -8 ( move -16 to the other side, so add 16)
then you get your answer, y= 8
