Answer:
area of a sector = 14.13 yards²
Step-by-step explanation:
XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.
area of a sector = ∅/360 × πr²
where
r = radius
∅ = center angle
r = 6 inches
∅ = 45°
area of a sector = 45/360 × 3.14 × 6²
area of a sector = 45/360 × 3.14 × 36
area of a sector = 45/360 × 113.04
area of sector = 1/8 × 113.04
area of a sector = 14.13 yards²
Answer:

Step-by-step explanation:
Using the rule of exponents
=
, then
= 
Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35