Complete Question
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do
, n, E, and p represent? If the confidence level is 90%, what is the value of
?
Answer:
a
is the sample proportion
is the sample size is 
is the margin of error is 
represents the proportion of those that did not chose chocolate pie i.e 
b

Step-by-step explanation:
Here
is the sample proportion
is the sample size is 
represents the proportion of those that did not chose chocolate pie i.e



is the margin of error is 
Generally
is the level of significance and it value is mathematically evaluated as

Where
is the confidence level which is given in this question as 
So


We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85
The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994
The price per unit is $20.99 and the answer is letter "D".
The area of the green carpet would be 8
After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm