11, 12, 15, 16, 20, 20, 25
Mean: 17
The range is 25-11 = 14 (the numbers in bold)
The interquartile range is 20-12=8 (the numbers underlined)
The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8 (28) and dividing by 7.
Part B:
The prices vary by no more that $14 (range).
<span>The middle half of the prices vary by no more than $8 (IQR).
</span>
<span>The admission prices differ from the mean price by an average of $4 (MAD).</span>
Let's convert all volumes into pint:
1 Quart = 2 pints → 3.5 quart of strawberry = 2 x 3.5 = 7 pints Strawberry
1 Gallon = 8 pints →1.25 Ga. water = 1.25 x 8 = 10 pints Water
2 pints of limonade = 2 pints of limonade
Add up all pints Total = 7+10+2 = 19 pints of smoothie
Or in quart 9.5
Or in Gal 2.375
To multiply any number <span>using expanded form and Distributive property, we need two steps:
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.
Step 1.
</span><span>7 x 256 = 7 x (200 + 50 + 6)
</span>
Step 2.
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6
Hence, the complete expression should look like:
7 x 256 = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6
<span>Let x = length of pipe.
Use Law of Cosines to find x: x^2 = 7^2 + 12^2 -2(7)(12)cos(56.4) = 98.03; x=9.901.
Let y = angle between pipe and ground.
Use Law of Sines to calculate y.
sin y/12 = sin(56.4)/9.901 ; sin y = 1 (approx). y = 90 deg.
Answer: 90 deg.</span>
