The probability is 1/462.
To find this, we will find the number of combinations of 5 country songs taken 5 at a time, 6 pop songs taken 0 at a time, and the total number of outcomes will be 11 songs taken 5 at a time:
Answer:
3 pairs of shirts and one pair of pants
Step-by-step explanation:
$65-$25(for pants)=$40
$40/$11(how much one shirt cost)=3
Answer:
- length: 8
- end points: (-8, 1), (0, 1)
Step-by-step explanation:
In the quadratic form ...
(x -h)² = 4p(y -k)
The value 4p is the length of the latus rectum. It also tells the distance between the vertex (h, k) and the focus (h, k+p).
<h3>Application</h3>
The value of 4p is given as 8. This means p = 8/4 = 2.
The length of the latus rectum is 8.
The end points of the latus rectum have the same y-value as the focus:
y = k +p = -1 +2 = 1
The end points of the latus rectum have x-values that are h±2p.
x = h ± 2p = -4 ± 2·2 = {-8, 0}
The end points of the latus rectum are (-8, 1) and (0, 1).
Answer:

Step-by-step explanation:

Expand parentheses:

Subtract 42 from both sides:

Divide both sides by 14:

Hope this helps!
<h3>
Answer: Choice C</h3>
2 x 3 = 3 x 2
Explanation:
The commutative property of multiplication says we can multiply any two numbers in any order we want. The general rule is a x b = b x a, where x represents the multiplication symbol. The 'a' and 'b' can be any two numbers you want.
Choice C shows an example of this. Either side simplifies to 6.
Another example would be 4 x 5 = 5 x 4 where both sides become 20.