Cos(α + β) = cosα*cosβ - sinα*sinβ
denominator remains the same for both expressions as sinα*cosβ
the simplification uses A. Quotient Identity
Let U=(1,2,3,4,5,6,7,8) A={1,3,5,7} B={1,3,5,7} C={5,8} D={2,5,8}. What is the subset
nikitadnepr [17]
U={1,2,3,4,5,6,7,8}; A={1,3,5,7} = B; C={5,8}; D={2,5,8}
All are subset of U
A is a subset of B & vice versa
C is a subset of D, but neither C nor D are subset of A or B
Answer:
{(3, 5), (2, 5), (3,8)}
Step-by-step explanation:
separate the x's & y's & put them in separate brackets
Answer:
25%
Step-by-step explanation:
Probability = # of favorable outcomes / possible outcomes
favorable outcomes is what we want to happen ( throwing more than 3 pitches )
So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)
There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10
So # of favorable outcomes = 10 + 15 = 25
Now we want to find the # of possible outcomes.
To do so we simply add the frequencies of each possible outcome.
15 + 20 + 40 + 15 + 10 = 100
So there are a total of 100 possible outcomes
Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)
Our answer = 25/100 which can be converted into a percentage as 25%
Answer:
An integer and its opposite also called absolute value I think
Step-by-step explanation:
