They just told me to answer a bunch of questions sorry i dont know this best of luck tho !
7.5 %
Step-by-step explanation:
We by finding how far from the mean the 999 volume caps are, using z score;
Z = (x – μ) / σ
Z = (999 – 998) / 7
Z = 0.143
We use the z-table to find the confidence levels;
= 85%
= 0.85
Since we are finding proportion of bottles have volumes greater than 999
mL;
1 – .85 = .15
0.15/2 = 0.075
= 7.5%
Simplify the equation.
First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7
Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7
Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6
Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12
Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6
Hope this helps.
Answer:
19
Step-by-step explanation:
Let Sam be x
Let Susan be y
x = y+11
x + y = 27
Substitute (x) with (y+11)
(y+11) + y = 27
Solve the equation
2y + 11 = 27
2y = 16
y = 8
Susan's age is 8.
Sam's age is 8 + 11
Sam's age is 19
Hope this helped :)