Answer:
g is decreasing for all x less than or equal to -1
Step-by-step explanation:
The graph of the function y = |x| looks like a "vee."
g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.
Function g(x) is decreasing for all 
.
The first one is 10.5
The second is y10
And the third is 7
So,
The probability of drawing a yellow marble is
.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same:
.
The probability of drawing a red marble is
.
In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.
Because the order of the marbles doesn't matter, we will multiply the probability by 3.
Answer:
A fair six-sized die is rolled. Find the probability of getting at least a 4.
There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.
