Consider the equation , it can be expressed as .
Now, we have to write the equivalent equation.
Since, Equivalent equations are those equations which have exactly same solution. We can say that the two equations are equivalent if solution of one equation is the solution of other equation.
So, consider the equation
Equivalent equation can be obtained by multiplying the given equation by any number say '2'.
Multiplying both sides of the given equation by '2'.
is the required equivalent equation.
Answer:
(13,-23)
Step-by-step explanation:
Comparing the image coordinates to the transformation rule, you see that ...
(x -4, y +15) = (9, -8)
Adding (4, -15) to these coordinates, we get ...
(x -4, y +15) +(4, -15) = (9, -8) +(4, -15)
(x-4+4, y+15-15) = (9+4, -8-15)
(x, y) = (13, -23) . . . . coordinates of D
Answer:
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then
95% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).