Answer:
x > -6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
x - 9 > -15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 9 to both sides: x > -6
Here we see that any number greater than -6 would work as a solution to the inequality.
Answer:
b) 65.08
ii) 0.75
Step-by-step explanation:
x(Kg): 62 63 64 65 66 67 68
Frequency(f): 1 5 11 15 10 6 2
xf: 62 315 704 975 660 402 136
b) mean(X) = ∑xf/N = 3254/50 = 65.08
c) x - X : -3.08 -2.08 -1.08 -0.08 0.92 1.92 2.92
(x - X)²: 9.49 4.33 1.17 0.0064 0.85 3.69 8.53
ii) Standard deviation(S.D.): √(∑(x - X)²/N = √(28.0664)/50 = √0.5613
∴ S.D.= 0.75
101.28-96 = 5.28
5.28/96 = 0.055
0.055 x 100% = 5.5%
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
P(- 1, 6 ) → P'(6, - 1 ) → C
See attached diagram.
A right triangle is formed with the 350m adjacent to the 22° angle.
We want to find the height of the triangle, the side opposite.
We can use the tangent ratio (opposite/adjacent) to find this height.
tan(22°) = x/350
Multiply each side by 350
350tan(22°) = x ≈
141.4 m