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:

Answer:

Step-by-step explanation:
Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is
. In interval notation, we use brackets to show what's included and parentheses to show what's not included.
Answer:
The approximate area is A) 5.09cm²
Step-by-step explanation:
Area of a Circle = πr²
r = 1.8
Plug in our values
π(1.8cm²)
Evaluate the area of the entire circle
a = π(1.8cm²)
a = π(3.24cm)
a = 10.179cm²
Area of a sector, with the area of the circle of the sector being a = theta/360 * a
Evaluate the area of the sector
180/360*10.719cm²
0.5 * 10.179cm²
5.0895cm²
Round the value up
5.09cm²