Solution: We are given the population mean 
Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.
The mean of shift 1 is:
The mean of shift 2 is:
The mean of shift 3 is:
The mean of shift 4 is:
We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.
Answer:
C. In step 2, Cindy should have multiplied both sides of the equation by 2.
Step-by-step explanation:
I'll go through the equation correctly, and then point out what would have happened.
3 = x/2 - 5
Add 5 to both sides. -5 and 5 cancel out.
8 = x/2
What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.
What would have happened here is that we have an extra step (though either way we still end up with x being 16.)
Correct Step 2:
Multiply both sides by 2. x/2 and 2x cancel out.
x = 16
Incorrect Step 2:
8/2 = (x/2)/2
4 = x/4
Multiply both sides by 4 (this would be the extra step!).
16 = x
3^11 is one of them and the other is 3^8•3^3
Answer:
(0,7)
Step-by-step explanation:
(I'm assuming you have to solve the system of equations)
3x -10y = -70
4x +9y = 63
Solving by elimination.
Eliminate x first, so we need the x-component of both equations to have the same number but opposite sign. So i'm going to multiply the first by -4 and the second by +3.
//I could have also done +3 to first and -4 to second
-4(3x -10y = -70)
3(4x +9y = 63)
-12x +40y = 280
12x +27y = 189
Add the equations //x's cancel
67y = 469
Divide both side by 67, y=7
Plug in y into any original equation to solve to x
3x - 10(7) = -70
3x -70 = -70
3x = 0
x=0
The answer would be 7/24
You can start by finding a common denominator. Since the lowest common denominator 3 and 8 have in common is 24 then that would be your denominator.
Then you can cross multiply 3*3= 9 and 2*8=16
16-9= 7
7/24
Then you are left with your answer:
is already in reduced terms.
Hope this helps! :3
