Answer:
m+n=140
Step-by-step explanation:
So the angles in a triangle always add up to 180. We already know that the first angle in the triangle is 40 degrees because it's shown in the angle below the triangle. So we have 140 degrees left since 40 is taken up. That eans m+n=140
Answer:
115 mg
Step-by-step explanation:
The 50th percentile has a corresponding z-score of z = 0. The z-score, for any given value of caffeine, X, is given by:
Therefore, if z=0, then X must be equal to the mean value of the normal distribution, which is 115 mg. Thus, the 50th percentile value of caffeine content is 115 mg.
Answer:
x = 31
Step-by-step explanation:
<u>Answer:</u>
- Prob (Marta winning) < Prob (Elena winning) : Case 1st, 3rd & 5th
- Prob (Marta winning) = Prob (Elena winning) : Case 2nd
- Prob (Marta winning) > Prob (Elena winning) : Case 4th
<u>Step-by-step explanation:</u>
Elena outcomes of winning, first even no. & second no. = 3 : (2,1) , (2,2) , (4,1) , (4,2) , (6,1) , (6,2). So, Probability (Elena willing) = favourable outcomes / total outcomes = 6 / 36
- Margie dice sum '7' outcomes = (2,5) , (5,2) , (3,4) , (4,3). So, Prob = 4/36
- Margie dice sum '6' outcomes = (1,5) , (5,1) , (2,4) , (4,2) , (3,3). So, Prob = 6/36
- Margie dice sum '2' or '9' outcomes = (1,1) , (3,6) , (6,3) , (4,5) , (5,4). Prob = 5/36
- Margie dice sum '>9' outcomes = (3,6) , (6,3) , (4,5) , (5,4) , (4,6) , (6,4) , (5,5) , (5,6) , (6,5) , (6,6). Prob = 10/36
- Margie dice sum '>2,<5' outcomes = (1,2) , (2,1) , (2,2) , (1,3) , (3,1) = 4/ 36
Answer:
5
Step-by-step explanation:
The constant term is the one with no variables in it: +5.
