Answer:
(d).
Step-by-step explanation:
sin² β + cos² β = 1
cos (α + β) = cos α cos β - sin α sin β
cos α = √(1 -
) = 21 / 29
cos β = 12 / 13
sin β = √(1 -
) = 5 / 13
sin α = 20 / 29
cos (α + β) =
×
-
×
=
Answer:
f(5) = 2
Step-by-step explanation:
it says to use the function (-x+3) for when x is bigger than 2
f(x) = (-x) + 3 replace x with 5
f(5) = (-5) + 3 and f(5) = 2
Answer: 0.067
Step-by-step explanation:
Binomial distribution formula :-
, here P(x) is the probability of getting success in x trials , n is total number of trials and p is the probability of getting success in each trial.
Given : n = 4 , p = 12 % = 0.12 and x =2
Then , 

∴ The probability of selecting two nonconforming units in the sample = 0.067
<span>Out of those, 8 is the one that is a perfect cube. </span>