<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
A) mean score = (18+25+28+15+6+18+2+4+25+15)/10
= 15.6 runs
Approximately 16 runs
b) (18+25+28+15+6+18+2+4+25+15+31)/11
= 17 runs
Step-by-step explanation:
Answer:
y=1, x=1
Step-by-step explanation:
This is a 90-45-45 triangle. One side is a sq root 2, and the other sides are a and a.
For example, if one side was 3 sq root two, then the other sides would be 3 and 3
Answer:
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Step-by-step explanation:
(a) What is the probability that a randomly chosen doctor is in favor of the vaccine
75% of 115/250 = 0.46(German).
60% of 65/250 = 0.26(French).
65% of 70/250 = 0.28(Englishmen). So
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
