By Hand
Step 1:
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2:
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3:
Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4:
Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5:
Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
cups of milk make 10 servings
can also be written as 1.25
Ratio of cups of milk to servings = 1.25 : 10
1 gallon = 16 cups
Let,
x be the number of servings made from 1 gallon
Ratio of cups of milk to servings = 16 : x
This is a direct proportion
1.25 : 10 :: 16 : x
Product of mean = Product of extreme
10*16 = 1.25x
160 = 1.25x
1.25x=160
Dividing both sides by 1.25

Hence,
128 servings can be made using 1 gallon of milk.
The plus-minus sign represents that there are two possible outcomes.
In this case, we have

. When we branch out the possibilities we got 2 values:

and

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:

When we FOIL the we get:

Simplify:


So the product of the two roots of this equation is 6.
First, look at the x axis (this is the one labeled Minutes Used per month)
Find the number 40, then look at where the lines meet on that line. The red line for Plan B it’s at 8 dollars. The blue line for Plan A is at 4 dollars.
Plan B costs more.
To find the difference, subtract 4 from 8.
$8 - $4 = $4
Plan B costs 4 dollars more than Plan A.
If you have any further questions feel free to ask.
Hope this helps.
Answer:
A) 12x-36=360 (equation to find x)
B) X=33
C) 71 for 3x-28 and 109 fo 3x+10
Step-by-step explanation:
So first we know tha there are vertical angles present (the opposite side of an angle directly)
And we also know the two sides since the two angle measures are just two different sides
If you add up all the 4 angle syou’ll get 360
So initially
3x-28+3x-28+3x+10+3x+10=360
Combine and get 12x-36=360
Now solve for X