The number of ways which he can choose 5 courses if more than 3 must be humanities is; 8 ways.
<h3>Combination of outcomes</h3>
According to the question;
- He can choose 4 humanities courses and 8 science courses.
If the condition requires that he chooses more than 3 humanities courses, it follows that;
- He can only choose all four humanities courses and only 1 of all science courses.
On this note, the number of ways he can choose the required 5 courses is; 8 ways.
Read more on combination and selection;
brainly.com/question/4658834
Answer:
20
Step-by-step explanation:
36-16=20
Hope this helped!
Answer:
Greater than
Step-by-step explanation:
We can figure out the equation of this line and then compare it with y - 2x + 5.
The formula for a default line is: y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (2, 3) and (3, 4).
Slope =
=
= 1
y = 1x + y-intercept
3 = 1(2) + y-intercept
3 = 2 + y-intercept
y-intercept = 3-2
= 1
Thus, the equation of this line is y = x + 1
Compared to the equation y = 2x + 5, this equation is much smaller and thus the equation: y = 2x + 5 is greater.
(x-1)^2 + (y-4)^2 = 16
the formula is (x-h)^2 + (y-k)^2 = r^2
Answer:
8/
3
Step-by-step explanation: