Answer:
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that 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.
53% reported that they entered a profession closely related to their college major.
This means that 
9 of those survey subjects are randomly selected
This means that 
What is the probability that 3 of them entered a profession closely related to their college major?
This is P(X = 3).


0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Answer:
x = 7
Step-by-step explanation:
When 2 secants are drawn from an external point to a circle.
The product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
5(5 + x) = 6(6 + 4) ← distribute and simplify both sides
25 + 5x = 6 × 10
25 + 5x = 60 ( subtract 25 from both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Answer:
Your answer
212960
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Step-by-step explanation:
-3.6
Explaination: it goes through the 6 and -3 points in the slope.