Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10
Answer:
Mean = 8 gerbils
MAD = 4.29 gerbils
Step-by-step explanation:
Find the mean:
Mean= 0+3+6+9+11+13+14 ÷ 7
Mean = 56 ÷ 7
Mean = 8 gerbils
To get the MAD we have to find the distance of each value of gerbil from the mean
8,5,2,1,3,5,6
MAD = 9+6+3+0+2+4+5 ÷ 7
MAD = 30 ÷ 7
MAD = 4.29 gerbils