Answer:
B. 5/6
Answer explained:
Prime numbers include 2, 3, and 5 and all numbers after 3 are 4, 5, 6 so 5 out of 6 or 5/6
The standard deviation of the data set is 19.3
<h3>How to find the standard deviation of the data set?</h3>
The dataset is given as:
82, 94, 105, 68, 57
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (82 + 94 + 105 + 68 + 57)/5
Evaluate
Mean = 81.2
The standard deviation is then calculated as:
So, we have:
SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]
This gives:
SD = √[1490.8/4]
So, we have:
SD = 19.3
Hence, the standard deviation of the data set is 19.3
Read more about standard deviation at
brainly.com/question/4514629
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Answer:
Cos A < 0 in the 3rd and 4th quadrants
Tan A < 0 in the 2nd and 4th quadrants
Step-by-step explanation:
In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.
In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive
In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.
In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.
In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.
Thus, comparing all above with the question, we can say that;
Cos A < 0 in the 3rd and 4th quadrants
Tan A < 0 in the 2nd and 4th quadrants
Answer:
57 in
Step-by-step explanation:
There are 200 gumballs all together. Then... I don't know what to do next. Sorry, I wasn't really helpful... but I hope this helps! :D