Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
Answer:
g(x) = 1/2x^2
Step-by-step explanation:
I hope this helps
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
Answer:
x = 5
Step-by-step explanation:
NOTE: THE 2 SIDES ARE THE SAME LENGTH
THEY HAVE TO BE SMALLER THEN 10
So 10/2 = 5
x = 5
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Answer:
8 boxes of pens, 3 boxes of pencils
Step-by-step explanation:
120 is 3 boxes of pencils
120 is 8 boxes of pens