What is the value of x? sin 55' = COS 3 Fnter your answer in the box
1 answer:
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Answer:
0.02275
Step-by-step explanation:
We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.
We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.
Now, we will use normal distribution table to find area under z-score of as:
Therefore, the probability of completing the exam in one hour or less is 0.02275.
For this case we must simplify the following expression:
We eliminate the parentheses taking into account that:
We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
Answer: