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


Answer:
3. is 3 (m - 16)(m + 4)
7. is also 3. (2x + 5)(3x - 5)
12. is 4 (x - 6)(x - 4)
the last one is i dont know
Answer:
-2/3
Step-by-step explanation:
The gradient of a line is its slope. You can just convert the equation to slope-intercept form (y=mx+b where "m" is the gradient/slope):
3y + 2x = 1
3y = 1 - 2x
y = 1/3 - 2/3x
y = -2/3x + 1/3
So, as we can see, -2/3 is the gradient/slope of the line.
Answer:
Paul
Step-by-step explanation:
Paul earn more than monica. Though he is getting less interest but because of his higher initial amount he is getting more return.
Computing the return of both
Monica return is 100*3.4%= $3.4 in a year
Paul return is 200*%2.2= $4.4 in a year.