Apply the "FOIL" method here. (m+1)(m+1) = m^2 + 1m + 1m + 1, or m^2 + 2m + 1.
Answer:
0.0274
Step-by-step explanation:
The mean is
and the standard deviation is 
Calculate
for 
If
then 
and

Use table for normal distribution probabilities to get that

Answer:
1. x = 10
2. x = 4
Step-by-step explanation:
I use the angle ABC method:
AB² + AC² = BC²
6² + 8² = x²
x = 10
AB² + AC² = BC²
3² + x² = 5²
x = 4
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Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;

Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504