The equation of the line is given by
y = mx + c
where m is the gradient of the line
c is where the line cuts the y-axis
x & y represent coordinates on the line.
The gradient m can be obtained as follows:
m = (5 - 8) / (5 - - 10) = (-3) / (15) = - 1/5
To obtain c, we use any known coordinate on the line and substitute it as well as the gradient in the general equation for the line.
Taking coordinates (5,5)
5 = (- 1/5)(5) + c
5 = - 1 + c
c = 6
Hence, the equation for this line is
y = -x/5 + 6
"horizonally" and "x-coordinate" are very much related.
If you start with a point and move the point horiz., the x-coordinate will change accordingly. If the original point were (2,3) and the point is translated 3 units to the right, then the new x-coord. would be 2+3, or 5: (5,3).
(x^12)^5=x^(12*5)=x^60
(x^(-2))^9=x^(-18)
x^60*x^(-18)=x^(40) and we need to find x^a such that
x^(42)*x^a=x^(40)^5
x^a=x^(40)^5*x^(-42)
x^a=x^(200)x^(-42)
x^a=x^(200-42)
x^a=x^158
so the missing term is x^158
Answer:
0.525 = 52.5% probability that the two are from different families.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the two participants are selected 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.
Desired outcomes:
1 from the Harfield family(from a set of 7).
1 from the McCoy family(from a set of 9). So
Total outcomes:
2 from a set of 16. So
Probability:
0.525 = 52.5% probability that the two are from different families.
Answer:
0.161
Step-by-step explanation:
The answer to 0.644 times 0.25 will end up resulting in the answer above
I'm assuming this was a simple multiplication problem? Correct me if I'm wrong on that :P
