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
<span>C = AB + D
AB = C - D
B = (C-D)/A
B = C/A - D/A</span>
Answer:
2t - 5 = -10
Step-by-step explanation:
add 5 to each side which leaves you with
2t=-5
then mulitply 5 and two and get t=10
Required algebraic expression is 3/z
Answer:
6,240 cm
Step-by-step explanation:
8 cm x 5 cm x 13 cm x 12 cm = 6,240 cm