Answer:
g = -1
Step-by-step explanation:
Given the following data;
Slope, m = 9
Points = (-7, -10) and (-6, g)
X-axis = x1, x2 = (-7, -6)
Y-axis = (y1, y2) = (-10, g)
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
9 = (g - (-10))/(-6 - (-7)
9 = (g + 10)/(-6 + 7)
9 = (g + 10)/1
Cross-multiplying, we have;
9 = g + 10
g = 9 - 10
g = -1
The probability that both items will be Harry Potter themed is 1/8.
<u>Step-by-step explanation:</u>
Total Number of pajama pants n(P) =8
Total number of slippers n(S)= 3
Number of Harry Potter themed Pajama pants n(H.P)=3
Number of Harry Potter themed slippers n(H.S)=1
We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.
If two events A and B are independent, then the probability of A and B is given by
P(A and B)=P(A)*P(B)
Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.
Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8