1. there are 11 letters total and 1 m so 1:11
2. true
3. 10 total marbles. 2 black so 2/10 = 1/5
4. 3 x 3 x 5 = 45
5. 15 marbles so 6/15 black 4/15 blue = 8/75
6. 15 marbles so 5/15 red 5/15 x 5/15 = 1/9
7. 3/10 x 4/9 = 2/15
8. Drawing a club or a black card
9. Drawing a king or a queen
ANSWER
See explanation.
EXPLANATION
We want to very the identity:
Let us take the Left hand side and work it out to get the right hand side.
Recall the Pythagorean Identity:
Make cos²(x) the subject.
We substitute this into our expression to get:
Expand:
Simplify
We can rewrite to get;
Therefore:
Answer is 15
(3)(3)=9
(3)(2)=6
9+6= 15
Hello!
If Bruce observes that the number of pitches a batter hits varies and is given by the function f(x)=x-11, and the batters get {4, 12, 14, 27, 42}, then Bruce threw {15, 23, 25, 38, 53} pitches. We get this solution set by adding 11 to each element in the set {4, 12, 14, 27, 42}.
Have a nice day
I hope you can understand it, if you don't tell me :)