4,3,2,5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br>
1. What is the mean of the data set?
tankabanditka [31]
Answer:5.5
Step-by-step explanation:
when all the numbers are added up =88
88 divide by 16 because their is 16 numbers in this sequence=5.5
Answer:
72 sq. mi
Step-by-step explanation:
Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.
Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.
Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.
Answer:
![\displaystyle (5,5)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%285%2C5%29)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Midpoint Formula:
![\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 9)
Point (8, 1)
<u>Step 2: Identify</u>
(2, 9) → x₁ = 2, y₁ = 9
(8, 1) → x₂ = 8, y₂ = 1
<u>Step 3: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute in points [Midpoint Formula]:
![\displaystyle (\frac{2+8}{2},\frac{9+1}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7B2%2B8%7D%7B2%7D%2C%5Cfrac%7B9%2B1%7D%7B2%7D%29)
- [Fractions] Add:
![\displaystyle (\frac{10}{2},\frac{10}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7B10%7D%7B2%7D%2C%5Cfrac%7B10%7D%7B2%7D%29)
- [Fractions] Divide:
![\displaystyle (5,5)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%285%2C5%29)