Since M and N are independent events, 
Step-by-step explanation:
Two events A and B are said to be independent when the probability of A happening does not depend on whether B has happened or not.
In other word, this condition can be rewrite as follows:
where
is the probability of A happening given that B has happened
is the probability of A happening
In this problem, we have:
- M and N are independent events: so M does not depend on whether N occurs or not
Therefore,
- Also, we know that
Therefore, it follows that
Learn more about probability:
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78 x 100 = 7800
<span>How many times does 190 go into 780? </span>
<span>≈ 4....190 x 4 = 760 </span>
<span>780 - 760 = 20...bring down the extra 0 to make it 200. </span>
<span>How many times does 190 go into 200? </span>
<span>≈ 1...subtract 190 from 200 to get a remainder of 10 </span>
<span>190 ÷ 7800 ≈ 41</span>
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Answer: see below
<u>Step-by-step explanation:</u>
I'm not sure exactly what you are asking for but here is what the box plot tells you:
Minimum is 17 items.
Q1 (Lower Quartile) is 22 items. So, 25% of the customers bought 22 items.
Q2 (Median) is 32 items. So, 50% of the customers bought 32 items.
Q3 (Upper Quartile) is 35 items, So, 75% of the customers bought 35 items.
Maximum is 62 items.
The data is "heavier" on the right so it is skewed left.
Range is 62 - 17 = 45
IQR (Interquartile range) is Q3 - Q1 = 35 - 22 = 13
Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only. The angle formed is 31 degrees which occurs between two sides that are AD and BC. We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base. Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD Using formula for tanθ tanθ = Perpendicular/Base tan31 = 3/BD 0.601 = 3/BD BD = 3/0.601 BD = 4.99 units
