Answer:
XY = 8 and YZ = 20
Step-by-step explanation:
If XY and YZ are on the one line, we can write
XY + YZ = 28
(2x+2) + (9x - 7) = 28
2x+2 + 9x - 7 = 28
11x - 5 = 28
11x = 33
x = 3
XY = 2x+2 = 2*3 + 2 = 8
YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20
Answer:
vertex: (4,-6), y= -14
Step-by-step explanation:
vertex can be derived from this formula
(4, -6)
to find y intercept you need to set x=0
y=2(0-4)-6
=-8-6
y= -14
Answer:
0.9586
Step-by-step explanation:
From the information given:
7 children out of every 1000 children suffer from DIPG
A screening test designed contains 98% sensitivity & 84% specificity.
Now, from above:
The probability that the children have DIPG is:
= (0.98 × 0.007) + 0.16( 1 - 0.007)
= 0.16574
So, the probability of not having DIPG now is:
= 0.9586
Answer:
B) 81π units²
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Radius of a Circle Formula: r = d/2
Area of a Circle Formula: A = πr²
Step-by-step explanation:
<u>Step 1: Define</u>
Diameter <em>d</em> = 18 units
<u>Step 2: Manipulate Variables</u>
Radius <em>r</em> = 18 units/2 = 9 units
<u>Step 3: Find Area</u>
- Substitute in <em>r</em> [Area of a Circle Formula]: A = π(9 units)²
- [Area] Evaluate exponents: A = π(81 units²)
- [Area] Multiply: A = 81π units²
