Answer:
The probability that a student will go to graduate school and take loans to pay for their undergraduate education is P=0.111.
Step-by-step explanation:
We know that:
- The probability that a student will take loans to pay for their undergraduate education is 0.85
.
- The probability that a student goes to graduate school, <em>given that the student took loans to pay for their undergraduate education,</em> is 0.13.
What is the probability that a student will go to graduate school and take loans to pay for their undergraduate education?
Out of the population of students, a proportion of 0.85 takes loans for undergraduate studies. Out of this, a proportion of 0.13 goes to graduate school.
This probability can then be calculated as:
To get the solution of a set of equations means to get a point that satisfies both equations.
Part (1):The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this casePart (2): The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutionsPart (3):We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.
Factored: 4 ( a + 2c - 2)
Standard form/simplified : 4a + 8c - 8
Answer: X=15 , Y=15
Step-by-step explanation:
This triangle is a 30, 60, 90 so that means it would be - a, 2a, a on each side, so add that all together and you get x-15 and y-15
