first you have to add the -4 to the -2 and you get 2. so 2x=2 then you divide 2 by 2x and get x=1
Answer:
Step-by-step explanation:
∠CAB = 33 {alternate interior angles}
5x = 33 + 2x { exterior angle equals sum of opposite interior angles}
5x - 2x = 33
3x = 33
x = 33/3
x = 11
∠B = 2x = 2* 11 = 22
∠ECB = 5x = 5*11 = 55
Answer:
a. P(male) = 0.4
b. P(no sport and male) = 0.1
c. Unclear question (isn't it the same as b.?)
Step-by-step explanation:
The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;
![\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%26No%20%5C%20Sports%26Sports%5C%5CFemale%2610%2632%5C%5CMale%267%2621%5Cend%20%7Barray%7D%5Cright%5D)
a.

b.
Using the tree diagram in the picture;

Okay first off. You want to combine like terms.
2.75-1.5=1.25j
2.25+3=5.25
Now you just fit those two answers into the final answer and you have:
1.25j+5.25.
Part 1 -
1. f(x) = 5(x-2)^2 + 4
axis of symmetry: x = 2
vertex: (2, 4)
2. f(x) = 12(x + 6)^2 - 5
axis of symmetry: x = -6
vertex: (-6, -5)
3. f(x) = 2x^2 + 8x - 7
axis of symmetry: x = -2
vertex: (-2, -15)
I have to go somewhere right now, but I will get back to you as soon as I can (probably within a couple of hours) to finish answering the rest of your questions.