Answer:
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
Step-by-step explanation:
Given;
Confidence interval CI = (a,b) = (0.036, 0.086)
Lower bound a = 0.036
Upper bound b = 0.086
To express in the form;
p-e< p < p+e
Where;
p = mean Proportion
and
e = margin of error
The mean p =( lower bound + higher bound)/2
p = (a+b)/2
Substituting the values;
p = (0.036+0.086)/2
Mean Proportion p = 0.061
The margin of error e = (b-a)/2
Substituting the given values;
e = (0.086-0.036)/2
e = 0.025
Re-writing in the stated form, with p = 0.061 and e = 0.025
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
Slope is the change in y over the change in x:
Slope = (y2 - y1) / (x2-x1)
Replace the letters in the equation with the given information:
1/2 = (1 - -1) / (15 -r)
Cross multiply:
1 * (15-r) = 2 * (1- -1)
Simplify:
15 -r = 4
Subtract 15 from each side:
-r = -11
Because r is negative, you need to multiply both sides by -1 to make r positive:
r = 11
The image of the dilation is shown below, with the centre of dilation (0,0) and scale factor of 3
The coordinate of C' is (6, -3) which is three times of the coordinate of C(2, -1)
55x4=220+55➗2=27.5
Therefore the answer is 247.5
