Answer:
And rounded up we have that n=421
Step-by-step explanation:
We know that the sample proportion have the following distribution:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume that a prior estimation for p would be 
since we don't have any other info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=421
Answer:
- 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
2y = - 3x - 8 ( divide all terms by 2 )
y = - x - 4 ← in slope- intercept form
with gradient = -
If you were to draw the cosx and sinx graph there will be infinite solutions at their interceptions which are the multiple of pi/4
Graphs of y = x+- 1 and of y = x - 1 are shown in the figure below.
The intersection of the two graphs is the solution for the two equations.
Answer:
There is no solution.
Explanation:
It is clear that the two lines are parallel and will never intersect.
Note that the equation for a straight line is of the form
y = mx + b
where
m = slope,
b = y-intercept.
y = x + 1 has slope of m=1.
y = x - 1 has slope of m=1.
The two slopes are equal.
Because parallel lines do not intercept, there is no solution.
Answer:
60
Step-by-step explanation:
K is the constant of proportionality or unit rate
(x, y)
(0, 0)
(2, 120)
(3, 180)
(4, 240)
120/2=60
180/2=60
240/2=60
The constant of proportionality or unit rate is 60
