Answer:
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is 3 unit(s)
Step-by-step explanation:
Give points:

Center of dilation
The distance in the x-coordinates fro
to
can be given by 
Answer:
D. (1,0)
Step-by-step explanation:
Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.
Lets go through all of the possible answers:
<u>A</u>. (0,4)
4(0) + 2(4) ≤ 6
0 + 8 ≤ 6
8 ≤ 6
This is false. 8 is not less than or equal to 6.
<u>B</u>. (5,0)
4(5) + 2(0) ≤ 6
20 + 0 ≤ 6
20 ≤ 6
This is false. 20 is not less than or equal to 6.
<u>C</u>. (5,7)
4(5) + 2(7) ≤ 6
20 + 14 ≤ 6
34 ≤ 6
This is false because 35 is not less than or equal to 6
<u>D</u>. (1,0)
4(1) + 2(0) ≤ 6
4 + 0 ≤ 6
4 ≤ 6
This is true, because 4 is less than 6.
Answer:
The 95% confidence interval would be given by (0.380;0.440)
The 99% confidence interval would be given by (0.370;0.450)
Step-by-step explanation:
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 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.380;0.440)
And for the 99% confident interval the critical value would be 2.58 and if we replace we got:
The 99% confidence interval would be given by (0.370;0.450)
Answer:
Step-by-step explanation:
p = 100
l = 4w
l = 80
w = 20
80 = 20*4