Answer: Option d.
Step-by-step explanation:
The trigonometric identity needed is:
Knowing that 
:
Substitute it into :
Simplify the expression:
Solve for 
. Apply square root at both sides of the expression:
Answer: 0.14
Step-by-step explanation:
1) Find the total #of seniors. To do this add up 25+5+5 = 35.
2)Since we know the number of seniors that work just do 5/35. This simplifies to 0.14 rounded to the nearest hundreth.
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
Answer:
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