Jason earns $20 per game as a referee in youth soccer games. ... Practice: Word Problems Algebra: Equations ... plus $0.50 for each subscription he
Answer:
Step-by-step explanation:
<u>As per the graph the order of transformations is:</u>
1. 90 degree anticlockwise rotation about origin
2. Reflection across x-axis
- This map A'B'C' to A''B''C''
Correct option is B (transformations read and applied from right to left)
Answer:
the probability the rock has raritanium is 0.9670
Step-by-step explanation:
These events have been defined as
Z: sample has raritanium
Y: the reading from detector is positive
Z': sample has no raritanium
Y': Reading from detector is negative
P(z) = 0.13
P(y'/z) = 0.02
P(y/z')= 0.005
We need to find p(z/y)
= p(z/y) = p(z ∩ y)/p(y)
= P(z) - p(z∩y)/0.13 = 0.02
Remember the value of p(z) = 0.13
So when we cross multiply we get
0.13 - p(z ∩ y) = 0.02 x 0.13
0.13 - p(z ∩ y) = 0.0026
-p(z ∩ y) = 0.0026 - 0.13
Such that
p(z ∩ y) = 0.1274
P(y/z')= 0.005
P(z∩y') = 0.005
Since p(z) = 0.13
P(z') = 1-0.13
P(y) - p(z∩y)/0.87 = 0.005
We cross multiply
P(y) - 0.1274 = 0.005x0.87
P(y) = 0.1274+0.00435
P(y) = 0.13175
We have 0.1274/0.13175
= 0.9670
So we conclude that probability rock has raritanium is 0.9670
Okay, let's do this~
we want v isolated on one side so let's bring w over through subtraction
now we have 5/9v=z-w
now, to get rid of that fraction attached to v, we will multiply it's reciprocal on both sides.
*the reciprocal of 5/9 is 9/5
(5/9) x (9/5) cancel each other leaving v isolated to the left
the other side should look like this 9/5(z-w)
now we put both parts together to end up with:
v= 9/5(z-w)
there you go! :D
