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;

Answer:
67 degrees
Step-by-step explanation:
alternate exterior angles are always congruent
Let the number of cards Aaron has : A
Given :
⊕ Bonny has twice as many cards as Aaron
⊕ Connor has 6 cards more than Bonny
⊕ Total cards : 101
⇒ Number of cards Bonny has : 2A
⇒ Number of cards Connor has : 2A + 6
⇒ Aaron cards + Bonny cards + Connor cards = 101
⇒ A + 2A + 2A + 6 = 101
⇒ 5A = 101 - 6
⇒ 5A = 95
⇒ A = 19
<u>Answer</u> : Aaron has 19 Cards
Answer:
D. 4/(2/5)
Step-by-step explanation:
For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.
For this one, divide 4 (large) by 2/5 (small).
If simplification is needed you can make 10 pieces.
A line perpendicular to y = -2x + 5 will have an equation in the form of:
y = (1/2)x + b
Since the graph must intersect (-2,9), we plug in this point to solve for b.
9 = (1/2)*(-2) + b
9 = -1 + b
10 = b
So the equation is:
y = (1/2)x + 10
The answer is A.