Answer:
The ratio of the difference of the two means to Sidney's mean absolute deviation = 
= 1.2195
Step-by-step explanation:
P.S - The exact question is -
Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.
Sidney’s Grades Phil’s Grades
Mean 82 78
Mean Absolute Deviation 3.28 3.96
To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Proof -
Given that Mean of Sidney Grades = 82
Mean of Phil's Grades = 78
So,
The difference of two means = 82 - 78 = 4
Also,
Given, Mean Absolute Deviation of Sydney = 3.28
Now,
The ratio of the difference of the two means to Sidney's mean absolute deviation = = 1.2195
(For full answer you might have to go to the comments)
Answer: 28x+30
Explanation: we divide (3x^3-2x^2+4x-3) by (x^2+3x+3) Using long division
3x-11
___________________
(x^2+3x+3) 3x^3-2x^2+4x-3
-(3x^3+9x^2+9x)
__________________
-11x^2-5x-3
-(-11x^2-33x-33)
____________
28x+30
So our remainder will be 28x+30
Answer:
x = 4/3
Step-by-step explanation:
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer:
Revenue = 1380
Step-by-step explanation:
Given:
Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.
Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.
The revenue received from selling 'x' backpacks is given as:
Number of backpacks sold (x) = 40
Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.
On plugging 40 for 'x', we get:
Therefore, the revenue received by the company on selling 40 backpacks is 1380.
