The answer is -12. R times -6 is -18 and -18 plus -6 is -12
Answer:
C (11.3) = 165
P (3,3) = 6
Step-by-step explanation:
We want to select 3 players out of 11 regardless of the order. That is, there is no difference between selecting the players {2,5,7} or {7,2,5}
Then we use the formula of combinations:
There are 165 ways to choose 3 players out of 11.
Now we want to know how many ways you can designate those 3 players as first, second and third. Now if we care about the order of selection. Then we use permutations.
They can be designated in 6 different ways
Melissa rolls 2 fair dice. The probability of getting a total of 12 is
<u>Solution:</u>
Given, Melissa rolls 2 fair dice and adds the results from each.
We have to work out the probability of getting a total of 12
<em><u>The probability of an event is given as follows:</u></em>
Now, total outcomes = 6 for 1st die 6 for 2nd die = 6 6 = 36.
Now, favourable outcomes = 1 [ since, we have to get a sum of 12, and only one case exists i.e. 6 + 6]
Hence the probability of getting a total of 12 is
Answer:
The parallel line has slope
The perpendicular line has slope
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope.
Parallel lines:
Parallel lines have the same slope.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
We have the following line:
Placing it in the general format
So this line has slope
Parallel line:
Same slope, so the parallel line has slope
Perpendicular line:
Multiplication of the slopes is -1. So
The perpendicular line has slope
Answer:
Step-by-step explanation:
The question has missing details. See comment for missing information
Given
-- at least
Required
Represent as an inequality
In inequalities:
At least means i.e. greater than or equal to
From the question, the number of people is represented with p.
So, at least 18 people is represented as: