P(A) = 0.36
P(B) = 0.25
P(A and B) = 0.09
Notice how P(A and B) = P(A)*P(B) = 0.36*0.25 = 0.09
So because P(A and B) = P(A) *P(B) in this case, this means A and B are independent events. In other words, the fact that A occurs does not alter the probability of event B.
Answer: independent
Answer:
the vertex is at (2, 8) and the axis of symmetry is x = 2
Step-by-step explanation:
In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:
h(x)=−2x^2+8x
This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.
The axis of symmetry equation is x = -b/ (2a).
-8
Here, with a = -2 and b = 8, the axis of symmetry is x = --------- = 2
2(-2)
To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining
h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8
In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.
Answer:
Layers P, Q, R, and S are the same as layers IV, V, VI and VII.
When we are multiplying our 10's, we are basically adding another 10 each time. Since the number grid is in rows of 10, adding another 10 is the same as moving down one row, which makes a straight column.