What is the value of m?
2 answers:
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Given:
The faces on a number cube are labeled 1,2,2,3,4, and 5.
The number cube is rolled 114 times.
To find:
How many times would you expect the number 2 to appear?
Solution:
We have,
Total outcomes = 1,2,2,3,4, and 5.
Number of total outcomes = 6
Favorable outcomes = 2 and 2
Number of favorable outcomes = 2
The probability of getting 2 is:
Now, the expected number of times when 2 to appear is:
Therefore, the expected number of times is 38.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cot A = , tanA =
, cscA =
, secA =
Consider the right side
=
=
= × sinAcosA ( cancel sinAcosA )
= cos²A - sin²A
= cos2A
= left side ⇒ verified