Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
<h3>What does Chebyshev’s Theorem state?</h3>
When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
More can be learned about Chebyshev's Theorem at brainly.com/question/25303620
5. It is a 5/9 chance he will pick 2 pair of pants. There are 5 pants and 9 in total (clothes and pants)
7. It is a 3/9 chance he will pick 2 items that are black. There are only 3 things that are black and the rest are other colors.
8. It is a 2/9 chance he will pick a pant and a shirt that is white. There is 1 white pants and 1 white shirt.
That is all I know. Number 6 kind of confuses me. Hope I helped!!!
Perpendicular = opposite sign and reciprocal slope
Slope would be 3
Y = 3x + b, plug in point
9 = 3(5) + b, b = -6
Solution: y = 3x - 6

so the slope of that line above is really -4/3, now
