Answer: in order to qualify, the time must be at least 15.93 minutes
Step-by-step explanation:
Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,
z = (x - µ)/σ
Where
x = sample mean 
µ = population mean 
σ = population standard deviation
From the information given,
µ = 12.8 minutes
σ = 3.7 minutes
in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%
The z score corresponding to 80% on the normal distribution table is 0.845
Therefore,
0.845 = (x - 12.8)/3.7
0.845 × 3.7 = x - 12.8
3.13 = x - 12.8
x = 12.8 + 3.13 = 15.93
 
        
             
        
        
        
Answer:
TU = 6
Step-by-step explanation:
Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.
 
        
             
        
        
        
4c
4(18)
72 is the score for 18 correct problems
        
             
        
        
        
You can use the trig ratios. Draw a diagram to see which one is appropriate. 
Tan would be used.
Tan29=x/20
20Tan29=x
Put this into your calculator and see what you get
        
             
        
        
        
Answer:

Step-by-step explanation:


