Answer: 
Step-by-step explanation:
 For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.
 Then, to find an angle α, this is:
 
 In this case, you can identify that:
 
 Then, substituting values into  and evaluating, you get that the measure of the angle "C" to the nearest degree, is:
 and evaluating, you get that the measure of the angle "C" to the nearest degree, is:
 
 
        
             
        
        
        
95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case, 
- The mean M is 3 and 
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes. 
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes. 
Similarly, 
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD 
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes. 
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%
 
        
             
        
        
        
233 base five = 2 x 5^2 + 3 x 5 + 3 x 1 = 2 x 25 + 15 + 3 = 50 + 18 = 68 base 10
11000 base two = 1 x 2^4 + 1 x 2^3 = 16 + 8 = 24 base ten
43E base twelve = 4 x 12^2 + 3 x 12 + 11 x 1 = 4 x 144 + 36 + 11 = 576 + 47 = 623 base ten
        
             
        
        
        
Answer:
At 11:50  
Step-by-step explanation:
1. Subtract the hours and the minutes separately
 12:  20
<u>- 0</u>: <u> 30</u>
 12: -10
2. If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.
 12:    -10
<u> - 1</u>: <u>+ 60
</u>
  11:   50
You should remind PJ about her deliveries at 11:50.