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:
(B) 0.057
Step-by-step explanation:
The 95% confidence interval is (0.028, 0.086). The formula for the confidence interval is μ ± e where μ is the mean and e is the margin of error.
Therefore the confidence interval is (μ - e , μ + e).
That is μ - e = 0.028 and μ + e = 0.086
To get the point estimate which is the mean, we sum the two proportions and divide it by two.
Therefore point estimate (μ) = (0.028 + 0.086) / 2 = 0.057
Using <u>complex numbers and radicals</u>, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
- Hence, since 8i is a root of the function, -8i is also a root.
The same is valid for radicals, as they are in the 
format.
- Since
is a root, 
is also a root.
Hence, option C is correct.
For more on <u>complex numbers and radicals</u>, you can check brainly.com/question/25173944
For this case we have to take into account the following conversions:
Let's first transform the expression to miles per seconds squared:
Then, we transform the result to miles per minute squared.
We have then:
Answer:
the rate in miles/min^2 is:
