The new mean is 66.09
<u>Explanation:</u>
Mean weight of 20 students = 65kg
One student with 88kg entered the room.
New mean = ?


The above equation can further be written as:

New mean = 
= 66.09
Therefore, the new mean is 66.09

Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-

Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
$10.71
Explanation
Step 1
you can easily solve this by using a rule of three.
Let
x represents the money Eileen will pay if her bag weighs 63 pounds
the proportion is the same
then

Step 2
solve for x

I hope this helps you
Step-by-step explanation:
A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.
It means,
2/3 cup = 1/8 cup of water

Hence, the constant of proportionality is 0.1875.