Given that sin(x)= 7/11, find cos(90-x)
1 answer:
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Answer:
A)
Blue:
Red:
B)
Blue:
Red:
C)
No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.
D)
Blue: 80
Yellow: 50
Red: 40
Orange: 30
For any arbitrary 2x2 matrices 
and 
, only one choice of exists to satisfy 
, which is the identity matrix.
There is no other matrix that would work unless we place some more restrictions on. One such restriction would be to ensure that is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking 
we'd get equality.
There is no other matrix that would work unless we place some more restrictions on
This is an example of conditional probability because we are trying to find the probability of an event occurring GIVEN the occurrence of some other event. There is a formula for this (see image attached).
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.