Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = ![\sqrt{(-1+2)^2+(1-5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1%2B2%29%5E2%2B%281-5%29%5E2%7D)
= ![\sqrt{1^2+(-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B1%5E2%2B%28-4%29%5E2%7D)
=
= ![\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B17%7D)
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = ![\sqrt{(- 1+4)^2+(-1+3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-%201%2B4%29%5E2%2B%28-1%2B3%29%5E2%7D)
= ![\sqrt{3^2+2^2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E2%2B2%5E2%7D)
=
= ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Since
≈
, then CD and EF are not congruent
You would be facing Northeast.
Answer:
88 Tickets were sold
Step-by-step explanation:
20*$4=$80
$216-$80=$136
$136/2=68
20+68=88 tickets
Answer:
Two-tailed test.
Step-by-step explanation:
There are two types of tests:
One-tailed tests and two-tailed tests.
When we only test if the mean is less or more than a value, we have a one-tailed test.
When we test if the mean is different from a value, we have a two-tailed test.
If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?
Test if it is different, so a two-tailed test.