Answer:
Given the graph
and 
We have to find the value of k;
Since, g(x) = f(x) +k

Subtract
from both sides we get;

Add 2 to both sides we get;

Simplify:

or
k = 5
Therefore, the value of k = 5
Marcia started work at 7.32 and finished work at 3.43. In total she worked 8 hours and 11 minutes.
Convert the 11 minutes into decimal form:
11 minutes / 60 minutes in an hour = 0.18 (rounded)
Multiply her hourly rate by her hours worked:
8.18*6.75 = $55.125 (you can round this up or down).
Let p be the proportion. Let c be the given confidence level , n be the sample size.
Given: p=0.3, n=1180, c=0.99
The formula to find the Margin of error is
ME = 
Where z (α/2) is critical value of z.
P(Z < z) = α/2
where α/2 = (1- 0.99) /2 = 0.005
P(Z < z) = 0.005
So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.
The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58
(-2.57) + (-2.58) = -5.15
-5.15/2 = -2.575
For computing margin of error consider positive z score value which is 2.575
The margin of error will be
ME = 
=
= 2.575 * 0.0133
ME = 0.0342
The margin of error is 0.0342
Its C. Add 3 and 15 which gives you 18. Then move the variable (4x) to the left. Then combine like terms which are the x’s and you should get 3x. Then divide both sides by 3. (18/3 = 6)
Answer:
2.5
Step-by-step explanation: