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1 answer:
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The slopes of two lines are equal which means that the lines are parallel.
Further explanation:
The slopes of lines are used to find the relationship between two line.
- If two lines are parallel, then their slopes will be equal.
- If two lines are perpendicular, the product of slopes of both lines will be -1
The standard form of equation of line is:
The coefficient of x is the slope here.
y=1/3x+4
Let m1 be the slope of first line:
Let m2 be the slope of second line
We can see that:
The slopes of two lines are equal which means that the lines are parallel.
Keywords: Parallel Lines, Perpendicular Lines
Learn more about lines at:
#LearnwithBrainly
Answer:
(a) 0.2721
(b) 0.7279
(c) 0.2415
Step-by-step explanation:
(a) If we choose only one student, the probability of being a math major is (because there are 5 math majors in a class of 18 students). So, the probability of not being a math major is
(we subtract the math majors of the total of students).
But there are 4 students in the group and we need them all to be not math majors. The probability for each one of not being a math major is and we have to multiply them because it happens all at the same time.
P (no math majors in the group) = = 0.2721
(b) If the group has at least one math major, it has one, two, three or four. That's the complement (exactly the opposite) of having no math majors in the group. That means 1 = P (at least one math major) + P (no math major). We calculated this last probability in (a).
So, P (at least one math major) = 1 - P(no math major) = 1 - 0.2721 = 0.7279
(c) In the group of 4, we need exactly 2 math majors and 2 not math majors. As we saw in (a), the probability of having a math major in the group is 5/18 and having a not math major is . We need two of both, that's
. But we also need to multiply this by the combinations of getting 2 of 4, that is given by the binomial coefficient
.
So, P (exactly 2 math majors) = =
= 0.2415