Answer: Independent
Step-by-step explanation: Just multiply the probability of the first event by the second.
Answer:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
Step-by-step explanation:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6
you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5
II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7
then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15
3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1
insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4
insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2
so the solution is
x=2
y=-4
z=-1
Answer:
Social security and medicare with 7.65% rate of gross pay $2355
=> Deduction amount: 2355 x 7.65/100 = $180.16
=> Option A is correct
Hope this helps!
:)
The given question can be solve using quadratic formula.
The correct option is (c) 
.
Given:
The given equation is,
---------------------------(1)
Write the general quadratic equation.
Write the quadratic formula.
------------------------------- (2)
Compare equation (1) and (2).
Substitute the value of 
, 
and 
in general quadratic.
Subtract 
from each side of above equation.
Thus, the correct option is (c) .
Learn more about quadratic equation here:
brainly.com/question/17177510
