Answer:
the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive is 16.36%
Step-by-step explanation:
Assuming that each point has the same probability to be chosen ( uniform probability distribution in the rectangle area ) then the probability of choosing a negative x-coordinate and positive y-coordinate is the ratio of the area with those requirements over the total area of the rectangle.
therefore
Ar= area of negative x-values and positive y-values = (-3)*6 = 18
AT= total area of the rectangle = [8-(-3) ]*[6-(-4)] = 110
then
probability = Ar/AT = 18/110 = 0.1636 = 16.36%
Answer:
5(y / 7)
Step-by-step explanation:
A quotient is the answer to a division problem. This tells us that y and 7 are being divided.
We have (y / 7) so far.
Five times this quotient (y / 7) can be represented by 5*, as the quotient is being multiplied by 5.
The final expression can be shown as: 5(y / 7).
Answer:
√19 or 4.36 to the nearest hundredth
Step-by-step explanation:
10^2 = 9^2 + x^2
x^2 = 10^2 - 9^2
x^2 = (10-9)(10+9) = 19
x = √19.