X=-5 and y=1
you would replace the letter x or y with zero to find the intercept.
The answer is B. -7m+12.
First distribute the -2 to 6m and -5.
5m-2(6m-5)+2
5m+(-2*6m)+(-2*-5)+2
5m+-12m+10+2
After that, combine the like terms.
5m+-12m+10+2
-5m+-12m=-7m
10+2=12
The simplified expression is -7m+12.
For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.
That is to say:
We have the following equation:
So:
Thus:
Thus, a line perpendicular to the given line must have slope
Option A:
It is not perpendicular!
Option B:
If it is perpendicular!
Option C:
It is not perpendicular!
Option D:
It is not perpendicular!
The correct option is option B
ANswer:
Option B
Answer:
The probability that the student answers at least seventeen questions correctly is .
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of correctly answered questions.
It is provided all the questions have five options with only one correct option.
Then the probability of selecting the correct option is,
There are <em>n</em> = 20 question in the exam.
It is also provided that a student taking the examination answers each of the questions with an independent random guess.
Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.
The probability mass function of <em>X</em> is:
Compute the probability that the student answers at least seventeen questions correctly as follows:
Thus, the probability that the student answers at least seventeen questions correctly is .