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
A graphing calculator shows the x-intercepts of the expression on the left to be -1, 4, 7.
The real solutions to the cubic equation are x ∈ {-1, 4, 7}.
Answer:
-5 + 6 = 1
Step-by-step explanation:
The model number may be used to simplify -5 + 6 = 1
Answer:
the sign of the product of 15 negative numbers will be negative
Step-by-step explanation:
Heya mate!!
The product of odd numbers is odd and the product of even numbers is even.
so 15 is an odd number then the sign of product is odd
Hope this helps!!!
251,782.
Just add 3*16,454 to the original number.