Answer
O 4x+3y=-6
Step-by-step explanation:
Hello, I can help you witht this,
to solve this you need
step one
the line we are looking for is paraller to the line in the graph, it means both of then have the same slope.
find the slope of the line in the graph
remember
to find the slope of a line with two known points you can use
Let

pick two points from he graph
P1(0,3)
P2(3,-1)
put the values into the equation

so, the slope of the line we are looking for is m=-4/3 and passes through the point (-3,2)
step 2
use the equation

to ding the equation of the line
P1(-3,2)

and that's all, that is the equation of the line that is parallel to the given
line and passes through the point (-3, 2).
Have a good day.
Answer:
4 remainder .43
Step-by-step explanation:
Answer:
3.6661
3.6661
A, Adding a constant does nothing to the standard deviation
Step-by-step explanation:
I'm gonna assume s=standard deviation
The standard deviation is just the square root of the second moment minus the first moment squared
Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely
Let's start by calculating the first moment (AKA The mean)
1/5(8+16+14+8+16)= 12.4
Let's then find the second moment
1/5(8²+16²+14²+8²+16²)= 167.2
√(167.2-12.4²)=3.6661
b.
While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun
same process
.2(16+24+22+16+24)= 20.4
.2(16²+24²+22²+16²+24²)=429.6
√(429.6-20.4²)= 3.6661
f(x) = -3x + 6
y = -3x + 6
x = -3y + 6
x - 6 = -3y
-3 -3
⁻¹/₃x + 2 = y
⁻¹/₃x + 2 = f⁻¹(x)
g(x) = x + 2
y = x + 2
x = y + 2
x - 2 = y
x - 2 = g⁻¹(x)
-2/5n=-30n
multiply both sides by -1 sinc I don' like negatives
2/5n=30n
multipl yboth sides by 5/2
1n=150/2n
n=75n
this is obviously false, the only number that would work is 0 since 0 =0 times 75
n=0