Answer:
<u>A. Mean = 402.5</u>
<u>B. Variance = 77,556.25</u>
<u>C. Standard Deviation = 278.49</u>
Step-by-step explanation:
Let's calculate the mean, variance and standard deviation of the set of numbers given:
A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>
B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 = [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>
C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
Answer: D: 4.5
Step-by-step explanation:
So the Equation I used for this would be
6(2x+3) = 3(6x-3)
In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with
12x+18=18x-9
-12x +9
27=6x
Divide to get X by itself
and your left with
4.5 = x
Hope it helped.
It will most likely just rain on Monday
Answer:
x > - 13
Step-by-step explanation:
Given
- 2(x + 3) < 20 ← distribute parenthesis on left side
- 2x - 6 < 20 ( add 6 to both sides )
- 2x < 26
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x > - 13
solution set is { x | x > - 13 }
