The probability that Ariana is on time for a given class is 69 percent. If there are 39 classes during the semester, what is the
1 answer:
Answer:
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Step-by-step explanation:
For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The probability that Ariana is on time for a given class is 69 percent.
This means that
If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class
This is E(X) when n = 39. So
Rounding
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
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Answer:
b
Step-by-step explanation:
the volume (V) of a cone is calculated as
V = πr²h ( r is the radius , h is the height )
here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then
V = π × 6² × 22
= π × 36 × 22
= π × 792 ( cancel 3 and 792 by 3 )
= π × 264
≈ 829.4 m³ ( to the nearest tenth )
Answer:
The answer to your question is (x + 3)
Step-by-step explanation:
Factor the expression
Simplify
Cancel 5 because is in both numerator and denominator
Cancel (x + 1) because is in both numerator and denominator
Cancel (x - 1) because is in both numerator and denominator
Cancel x² because is in both numerator and denominator
After simplifying, the result is (x + 3)