Company 1: (24 + 26 + 28 + 23 + 21) / 5 (this is how many numbers added together) = 24.4
Company 2: (6 + 32 + 9 + 31 + 21) / 5 = 19.8
Company 3 (15 + 15 + 15 + 15 + 15) / 5 = 15
Company 4: (13 + 10 + 45 + 12 + 15) / 5 = 19
Company 1 has the longest average commute time per employee.
The sum of the probabilities in a probability distribution is always 1.
A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:
Each probability in the distribution must be of a value between 0 and 1.
The sum of all the probabilities in the distribution must be equal to 1.
An example: You could define a probability distribution for the observation for the number displayed by a single roll of a die. The probability that the die with show a "1" is
1
6
.
That's because there are six possible outcomes, and only one of those outcomes is a "1". Lets label the probabilities of all the possible outcomes for the single die.
Roll a "1": Probability is
1
6
Roll a "2": Probability is
1
6
Roll a "3": Probability is
1
6
Roll a "4": Probability is
1
6
Roll a "5": Probability is
1
6
Roll a "6": Probability is
1
6
Each probability is between 0 and 1, so the first property of a probability distribution holds true. And the sum of all the probabilities:
1
6
+
1
6
+
1
6
+
1
6
+
1
6
+
1
6
=
1
,
so the second property of a probability distribution holds true.
1001
1002
1003
1004
1005
...
....
....
....
....
....
1099
7 out of 9 , 7:9, 7/9
because 4+5=9
9-2= 7
First substitute the second equation into the first one:
-3x - 3(-5x - 17) = 3
Next distribute the parenthesis:
-3x + 15x + 51 = 3
Then combine like terms:
12x + 51 = 3
Now subtract 51 from each side:
12x = 48
Lastly to get x, divide each side by 12:
x = 4
Now put this into the second equation:
y = -5(4) - 17
Multiply:
y = -20 - 17
And subtract:
y = -37
The solution is (4,-37). Hope this helps!
