Answer:
The required probability is 0.031918.
Step-by-step explanation:
Consider the provided information.
It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.
Therefore n=34
The probability it is either up or down is 0.5.
Thus the value of p =0.5 and q = 0.5
Now calculate the probability
Let X is the number of years that theory held.
X has a binomial distribution with n=34 and p=0.5

Hence, the required probability is 0.031918.
Answer:
m∠A= 110°
Step-by-step explanation:
∠A+∠B=180°
5x+20+9x-92=180°
14x=180+92-20
14x/14=252/14
x=18
m∠A=5x+20
= 5(18)+20
=90+20
m∠A=110
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hope it helps...
have a great day!!
Answer:
9.58
Step-by-step explanation:
total score needed
9.5 * 5 = 47.5
Score from 4 judges
9.48 * 4 = 37.92
Score needed from 5th judge
47.5 - 37.92 = 9.58