1. A line that passes through coordinates (2,8) and (1, 3)
1 answer:
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Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Answer:
cos P = 53 degrees
cos Q = 37 degrees
Step-by-step explanation:
cos P =
cos P =
cos P = 0.60
Cos-1 of 0.60 is 53.13 (round to the nearest whole number)
cos P = 53 degrees
cos Q =
cos Q =
cos Q = 0.80
Cos of 0.80 is 36.86 (round to the nearest whole number)
cos Q = 37 degrees
To check anser:
90 + 53 + 37 = 180
180 = 180