Answer:
P(x < 5) = 0.70
Step-by-step explanation:
Note: The area under a probability "curve" must be = to 1.
Finding the sub-area representing x < 5 immediately yields the desired probability.
Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:
(average length)·(width, which here is:
2 + 5
----------- · 0.02 = (7/2)(0.2) = 0.70
2
Thus, P(x < 5) = 0.70
Hey there!
You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.
I hope this helps!
Answer:
c. (-2, 5)
Step-by-step explanation:
y - 2 = 3/2(x + 4)
to know which is the correct option we have to replace the equation x and y with what is in the point
a.
y - 2 = 3/2(x + 4)
(-1) - 2 = 3/2((-2) + 4)
-3 = 3/2(2)
-3 = 3
Wrong
b.
y - 2 = 3/2(x + 4)
(5) - 2 = 3/2((-6) + 4)
3 = 3/2(-2)
3 = -3
Wrong
c.
y - 2 = 3/2(x + 4)
(5) - 2 = 3/2((-2) + 4)
3 = 3/2(2)
3 = 3
Correct
d.
y - 2 = 3/2(x + 4)
(-1) - 2 = 3/2((6) + 4)
-3 = 3/2(10)
-3 = 15
Wrong