73.0
Step-by-step explanation:
tan 67°=O/A=h/31
h=31tan67°
h=73.0
 
        
             
        
        
        
It can be defined by the equation.
 
        
        
        
Answer:
a)
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
b)
0.125 = 12.5% probability that all three coins come up heads.
0.875 = 87.5% probability that there will be at least one tail.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Question a:
Considering H for heads, T for tails:
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
(b) What is the probability that all three coins come up heads?
One outcome(H - H - H) out of 8, so:

0.125 = 12.5% probability that all three coins come up heads.
Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Sum of these probabilities is 100%, so:
1 - 0.125 = 0.875
0.875 = 87.5% probability that there will be at least one tail.
 
        
             
        
        
        
<h3>5 of the 6 vaccinated people will be protected from the virus</h3>
<em><u>Solution:</u></em>
Given that,
Suppose that a vaccine is 85% effective against the flu
You vaccinated 6 people
To find: Number of people you expect will be protected from the virus
From given,
85 % of 6 people are effective against the flu
Which means,

Thus, 5 of the 6 vaccinated people will be protected from the virus