Answer:
Step-by-step explanation:
Given that the bag contains black and red marbles.
Number of black marbles in the bag = 2
Number of red marbles in the bag = 3
Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5
Let us have a look at the formula for probability of an event E, which can be observed as:
Now, the marble chosen at first is replaced.
Therefore, the count remains the same.
Now, the <em>required probability</em> can be found as:
simplify each term
apply the distributive property
-X+3+(-X- -5)
multiple -1 by -5
-X+3+(-x+5)
remove unnecessary parentheses
-x+3-×+5
subtract x from -x
-2x+3+5
add 3 and 5.
-2x+8
Answer:
f(x) is reflected over the x-axis and vertically scaled by a factor of 3
Step-by-step explanation:
If you compare the two functions, you see that ...
g(x) = -3f(x)
Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)
Multiplication by 3 is a vertical scaling by a factor of 3.
Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.
Answer:
{-1,0,1}
Step-by-step explanation:
The domain of a function is the set of all input values. The input values are the first coordinate in any coordinate pair (x,y).
So the domain here is {-1, 0, 1}.
Step-by-step explanation:
As you have done till
3p + 8 = 20
3p = 20 - 8
3p = 12
p = 12 / 3 = 4
