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
Answer:
$ 7.7
Step-by-step explanation:
Given,
There are 18 $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill,
Total number of bills = 18 + 10 + 8 + 3 + 1 = 40,

Thus,
The probability of $ 1 = 
The probability of $ 5 = 
The probability of $ 10 = 
The probability of $ 20 = 
The probability of $ 100 = 
If a bill is selected randomly,
The expected value of the bill



= $ 7.7
Answer: 5/3
Step-by-step explanation:
Answer:
<h2>-8(k - 4) = -8k + 32</h2>
Step-by-step explanation:
-8(k - 4) <em>use the distributive property: a(b + c) = ab + ac</em>
= (-8)(k) + (-8)(-4) = -8k + 32