Answer:

Step-by-step explanation:
Use cosine:


We have:

Substitute:

<em>cross multiply</em>
<em>divide both sides by 9063</em>

I think it’s either a or d
Answer:
The probability that the instrument does not fail in an 8-hour shift is 
The probability of at least 1 failure in a 24-hour day is 
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

Let X be the number of failures of a testing instrument.
We know that the mean
failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is 

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is 

Answer:
39/50 and 0.78
Step-by-step explanation:
78% = 78/100 (or 78 hundredths) = 0.78
39 ÷ 50 = 0.78
In 3 hours, the two planes will be 2,700 miles apart.
If in one hour, the planes get 900 miles apart, it will take 3 hours to become 2,700 miles apart.
《----- and -----》 Indicatethe planes moving in opposite directions.
The number indicate the distance traveled.
The amount of times the number is repeated indicates the amount of hours flown (ex.: 50+50+50+50 would indicate 4 hours flown because there are 4 50s in the sequence).
So
《-----300 + 600-----》
=900 miles in one hour
《------300+300 and 600+600-----》
=1,800 miles in 2 hours
《-----300+300+300 and 600+600+600-----》
=2,700 miles in 3 hours