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Answer:
99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. 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.
56% of the school's graduates find a job in their chosen field within a year after graduation.
This means that
Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
This is when n = 6.
Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So
In which
99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
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Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
