Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So

Probability of roommate A winning:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Answers:
mode = 1
range = 5
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Explanation:
The mode is 1 because it is the most frequent value. It shows up four times compared to the other values (5,6) which only show up once and the value 4 only shows up twice.
The range is 5 because we subtract the max and min values to get 5.
In other words,
Range = Max - Min
Range = 6 - 1
Range = 5
Answer:
ans=(-2,2)
Step-by-step explanation:
let the end point of circle diameter (-1,5) and (3,-1) be (x1,y1) and (x2,y2) respectively
using mid point formula
(x,y)=(-1,5)/2+(-3,-1)/2 [center point is equal to mid point of diameter)
= (-1+(-3))/2+(5-1)/2
=(-2,2)
center coordinate of circle=(-2,2)
Answer:
20 sides
Step-by-step explanation:
The formula that relates interior angles with number of sides is:

Where
n is the number of sides.
We know each interior is 162 degrees, so we substitute and cross multiply and solve for n:

THus, the polygon has 20 sides
The answer is:
Your answer is B