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Answer:
Step-by-step explanation:
The given triangle, ∆ABC is a right triangle.
To find cos A, we'd need to apply the trigonometric ratio formula, which is cos A = adjacent length/hypotenuse length
From the ∆ given,
AC = adjacent = 15,
BC = opposite = 36
We are not given the hypotenuse length AB.
==>Find the hypotenuse length AB, using the Pythagorean theorem formula:
c² = a² + b²
AB² = 15² + 36² = 225 + 1296 = 1521
AB = √1521
AB = 39
==>Find cos A:
cos A = adjacent/hypotenuse
Adjacent = AC = 15
Hypotenuse = AB = 39
Answer:
85.56% probability that less than 6 of them have a high school diploma
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
50% of adult workers have a high school diploma.
This means that
If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
This is P(X < 6) when n = 8.
In which
85.56% probability that less than 6 of them have a high school diploma