The probability of getting a total that is a factor of 21 is 0.22
<u>Explanation:</u>
Factor of 21 is = 1, 3, 7, 21
Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12
The possible combinations are:
(1,2) (1,6)
(2,1) (2,5)
(3,4)
(4,3)
(5,2)
(6,1)
Total outcome = 6 X 6
= 36
Number of outcomes that is the factor of 21 is 8
The probability of getting a total that is a factor of 21 is 
p(21) = 0.22
Therefore, the probability of getting a total that is a factor of 21 is 0.22
Answer:
B. The two lines are neither parallel nor perpendicular.
Step-by-step explanation:
First, put both lines into the same format. In this example, we're going to use y=mx+b format.
x - 4y = -9
-4y = -x + -9
y = (-x + -9) / -4
y = (x+9)/-4
y = (-1/4)x + (-9/4)
y = 3x - 7
If two lines are parallel, they have the same slope. (ie 4 and 4)
If two lines are perpendicular, one line's slope is the negative reciprocal of the other. (ie 4 and -1/4)
Neither is true here.
The Answer should be C) 40.5 feet
Answer:
C)
Step-by-step explanation:
Perpendicular means negative reciprocal of the current slope.
And the negative reciprocal of -2 is 1/2.