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:
360 cm3
Step-by-step explanation:
Option d is the right answer
11.25 is 11 1/4 because if you were to do 1 divided by 4, you would find that the answer is 0.25. But if you need an improper fraction, you would get 45/4 because if you were to put 11 times 4, you would get 44, and 44+1=45. Then you put that on the numerator spot, and you will get 45/4 for improper fraction.
The approximate length of side AB is 14.0. The correct option is B. 14.0 units
<h3>Law of sines </h3>
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (<em>Sum of angles in a triangle</em>)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
Learn more on Law of sines here: brainly.com/question/24138896
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Based on the characteristics of the distribution, the probability that the first goal is scored in less than 4 minutes is 0.
<h3>What is the probability?</h3>
For us to be able to calculate the probability that the first goal is scored in less than 4 minutes, the distribution needs to satisfy the requirements of the Central Limit Theorem(CLT).
Based on the fact that the distribution here is extremely right skewed, then it does not satisfy the requirements of CLT so the probability is 0.
First part of question:
The distribution of the time it takes for the first goal to be scored in a hockey game is known to be extremely right skewed with population mean 12 minutes and population standard deviation 8 minutes.
Find out more on the requirements of the Central Limit Theorem at brainly.com/question/18403552
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