z=(63-84)/3= -21/7= -3
P(x>63)=p(z > -3) = .9987 or 99.87%
Answer:
36π in^2
Step-by-step explanation:
Area of a circle = π(6)^2 = 36π
Answer:
1.22
Step-by-step explanation:
Since there is one whole shaded. And 2 tens, and 2 ones. Its 1.22.
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
Answer:
b=9
(assuming you meant -6x) x = -2
h = -4
a = 6
Step-by-step explanation: