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:

In a table, like the one below, the domain is usually listed in the left column and the range is listed in the right column. You can also refer to the domain as the input values, x, and the range as the output values, y, in a relation or function.
Answer:
x = 2 degree and unknown angle = 31 degree
Step-by-step explanation:
149 + 13x + 5 =180 degree (being linear pair)
154 + 13x = 180
13x = 180 - 154
x = 26/13
x = 2 degree
unknown angle = 13x + 5
=13*2 + 5
=26 + 5
=31 degree
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
Answer:
Option (1) is the correct option.
Step-by-step explanation:
Function 1,
f(x) = 4x² + 8x + 1
= 4(x² + 2x) + 1
= 4(x² + 2x + 1 - 1) + 1
= 4(x² + 2x + 1) - 4 + 1
f(x) = 4(x + 1)² - 3
This graph opens up with the vertex or minimum point at (-1, -3)
So, the minimum value of the function is (-3) at x = -1.
Function (2)
From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)
Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)
Option (1) is the correct option.