100(12 / 82) = 14.6% approximately.
<span>Simplifying
w + -11 = 1.3
Reorder the terms:
-11 + w = 1.3
Solving
-11 + w = 1.3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + w = 1.3 + 11
Combine like terms: -11 + 11 = 0
0 + w = 1.3 + 11
w = 1.3 + 11
Combine like terms: 1.3 + 11 = 12.3
w = 12.3
Simplifying
w = 12.3 <--- (Answer)
Happy studying ^-^</span>
<span>Subtracting 2x from both sides of the equation would be a reasonable first step in solving this equation as it properly combines like terms to the left side of the equation. It quickly shows that the next step would be adding 1 to both sides of the equation, which would have us arrive at the answer of x = 5.</span>
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
The second option, you would divide those two numbers to find the the ratio of books to shelves
