Answer:

Step-by-step explanation:
subtract 1 from both sides
-6x<-17-1
simplify
-6x<-18
divide by 6 on both sides
x>3
Answer:
0.2752512
Step-by-step explanation:
The formula you are looking for is the binomial probability:
n!
P (X) = ------------ * (P)^X * (q)^n - X
(n- X)! X!
For your particular problem:
n=7
X=2
q = 1-p = .8
7!/(5!*2!)*(.2)^2*(.8)^5 = 0.2752512
Hope this helps, have a nice day/night! :D
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
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<em>Additional comment</em>
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
8 16/1000 = 8 2/125
Keep whole number the same, divide the numerator and denominator by 8.