<span>175 calories in 12 ounces
</span>
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.
<h3>How to solve
the mean.</h3>
From the complete information, the mean will be calculated as:
= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)
E(X) = 4.26
The standard deviation will be calculated thus:
E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)
E(X²) = 19.36
The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.
The expected profit of the company will be:
= 0.75 × E(X)
= 0.75 × 4.26
= $3.20
The mean of the total number of binders purchased will be:
= 4.26 + 2.74 = 7
The standard deviation will be 1.6658.
Lastly, the total expected profit will be:
= 0.75E(X) + 1.45E(Y)
= 0.75(4.26) + 1.45(2.74)
= 3.195 + 3.973
= 71.68
Learn more about standard deviation on:
brainly.com/question/24298037
Answer:
I dont have sc
Step-by-step explanation:
