Answer:
The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199
Step-by-step explanation:
The given probability that the pitcher throws a strike, p = 0.507
The number of pitches thrown by the pitcher = 15 pitches
The probability that the pitcher does not throw a strike, q = 1 - P
∴ q = 1 - 0.507 = 0.493
By binomial theorem, we have;

When X = r = 8, and n = 15, we get;
The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows
P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199
Answer:
For number 5 . a= 3 and b = -1
Answer:
what are you trying to ask? I hope these help:
Diameter: 16 units
Radius: 8 units
Area: 200.96 units
Step-by-step explanation:
Diameter: circumference ÷ π
Radius: diameter ÷ 2
Area: pi times radius²
Answer:
a2b
Step-by-step explanation:
a6b3 / a4b2
When dividing exponents, you subtract them.
a6-4
b3-2
Leaving you with a2b