Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many combination of random samples of 4 students can be selected?
4 from a set of 12. So
495 combinations of 4 students can be selected.
Answer:
x=8
z = 115
Step-by-step explanation:
65 and 13x - 39 are vertical angles so they are equal
65 = 13x - 39
Add 39 to each side
65+39 = 13x - 39+39
104 = 13x
Divide each side by 13
104/13 = 13x/13
8 =x
65 and z are supplementary angles because they form a straight line. This means they add to 180
65+z = 180
Subtract 65 from each side
65+z-65 = 180-65
z = 115
Answer:
5?
Step-by-step explanation:
You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5
Answer:
x - y = 1
Step-by-step explanation:
by divided by two on both sides then dividing by 8 on both sides and we are left with x - y = 1
You can figure the line for each pair of points, or you can try the points in the equation you have and see which are on the line.
First answer: x=1, y=-5×1 +4 = -1 . . . not 9. (1, 9) is not a point on the line
Second answer: x=2, y=-5×2 +4 = -6 . . . not -14. (2, 14) is not a point on the line
Third answer: (see the calculation for the first answer) . . . -1 ≠ 1. (1, 1) is not a point on the line
Fourth answer: (see the calculation for the second answer) We know that (2, -6) is on the given line. Checking (4, -16), we find it is as well.
The appropriate choice is the 4th answer:
... a line passing through the points (2, -6) and (4, -16)
