Answer:
3
Step-by-step explanation:
i Substituted the value ofthe variable into the equation and simplified it.
solution:
You have only two qualitatively different outcomes possible. Count
the number of ways to get each of the two.
There are just two possible outcomes here: the two missing socks
make a pair (the best case) and the two missing stocks do not make a
pair (the worst case). The total number of different outcomes (the ways
to choose the missing socks) is 10 C 2 = 45.
The number of best-case ones is 5; hence its probability is 5 /45 = 1/9
The number of worst-case ones is 45 − 5 = 40; hence its probability is 40/45 = 8/9.
On average, you should expect 4 • 1/ 9 + 3 • 8 /9 = 28/ 9 = 3 1/ 9 matching pairs.
A rectangle is a parallelogram with four right angles.
That's why in order to prove that LMNP is rectangle you have to show that LP is perpendicular to PN.
Solution:
The coordinates of vertices are L(-4,1), P(-3,-1) and N(3,2), then
.
Find the dot product:
.
Since the dot product of two vectors is equal to zero, these vectors are perpendicular.
LMNP is a parallelogarm, then
.
You show that all angles are right, this means that parallelogram LMNP is a rectangle.
Answer: correct choice is D.
Answer:
C
Step-by-step explanation:
In a proportional relationship the constant of proportionality k is
k = 
Check this ratio for each of the values
A
= 1.5 , 
= 1.5 , 
= 1.4347.... ← Thus not A
B
= 1.1875 ← Thus not B
C
= 1.5 , 
= 1.5 , 
= 1.5
Thus the table with k = 1.5 is Table C
Answer: 14
<u>Step-by-step explanation:</u>
The ______ is asking what 140 ÷ 10 is
140 ÷ 10 = 14
