Answer:
5/2
Step-by-step explanation:
Start from (-2,-2) and count up and over until you get to (0,3) because slope is rise/run.
5/2
If you want to check your answer, you can always use the slope formula which is: y2-y1/x2-x1
3--2/0--2 = 5/2
I can help you with no.1 it is 40
Answer:
the p-value for this test of hypothesis is 0.0324
Step-by-step explanation:
Given the data in the question;
sample size n = 38
Null hypothesis H₀ : μ = 20
Alternative hypothesis Hₐ : μ ≠ 20
z = 2.14
Test Statistic;
since its a two tailed test, p-value will be;
⇒ 2 × P( Z > |z| )
= 2 × ( 1 - P( Z < |z| ) )
we substitute in the value of z
= 2 × ( 1 - P( Z < 2.14 ) )
from z score table, P( Z < 2.14 ) = 0.9838
= 2 × ( 1 - 0.9838 )
= 2 × ( 0.0162 )
P-value = 0.0324
Therefore, the p-value for this test of hypothesis is 0.0324
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>