Step-by-step explanation:
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Multiply the top equation by 5. Now multiply the bottom equation by −3. Next add the equations, and solve for y.
I hope it's helpful!
In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.
42 43 47 48 51 52 56 56 58 60 62 64 65 66
Mean of the data = (42 + 43 + 47 + 48 + 51 + 52 + 56 + 56 + 58 + 60 + 62 + 64
+ 65 + 66) ÷ 14
Mean of the data = 770 ÷ 14
Mean of the data = 55
Median = (56 + 56) ÷ 2
Median = 112 ÷ 2
Median = 56
Lowest value = 42
Highest value = 66
Range = Highest value - Highest value
Range = 66 - 42
Range = 24
Lower Quartile = 25% of the data
Lower Quartile = 48
Upper Quartile = 75% of the data
Upper Quartile = 62
Remember the formula for the perimeter of a rectangle is (2L + 2W).
Since we have our width, 56, we need to double it.
56 x 2 = 112.
Now we are left with this equation:
246 = 112 + 2L
To solve for this, we need to get 2L by itself and simplify.
Subtract 112 from both sides (what you do to one side of an equation you must do to the other).
246 - 112 = 134
112 - 112 = 0
Our equation is now:
2L = 134
L is being multiplied by 2.
To solve for L, we need to perform the opposite order of equations.
The opposite of multiplying is dividing.
Divide both sides by 2.
2L / 2 = L
134 / 2 = 67
You are left with:
L = 67
Your length is 67 yards.
I hope this helps!
Answer:
33%
Step-by-step explanation:
decimal x 100
8 4/8 + 4 5/8 = 12 9/8 = 13 1/8
The answer is 13 1/8