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monkey2865
23.10.2020 •
Mathematics
What is the slope from the table?!?!
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Ответ:
The slope is 2.
Step-by-step explanation:
Because the "x" is increasing by 2s, you take the difference between each "y" and divide by two. This gives you four dived by 2, which equals two.
For example, taking the difference between the first "y", 7, and the second "y", 11, is 4. Because the "x" is increasing by twos, you divide by two to get the difference between one "y" and the next. Therefore, the answer is 2.
Ответ:
the slope of the line is 2
Step-by-step explanation:
To find the slope of a set of points you use the equation (y 2 - y 1) over (x 2 - x 1) For this equation I will do it twice, to prove that any two sets of points will work for it, so long as x 1 and y1 and x2 and y 2 are across from each other on your table.
20, 45 will be my x 2 and y 2 points for the first equation, and 5, 15 will be my x 1 and y 1 points for the first equation. (plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation). (45 - 15) over (20 - 5). 45 minus 15 equals 30, and 20 minus 5 equals 15. So now the equation is 30/15. But this is not our final slope. This can be simplified to 2/1, because 15 goes into 30 twice, so they can both be divided by 15. 2/1 is also not its final form, because 2 divided by 1 equals 2. This is the slope of your line.
1, 7 will be my x 2 and y 2 points for the second equation, and 3, 11 will be my x 1 and y 1 points for the second equation. (once again plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation) We get: (7 - 11) over (1 - 3). 7 minus 11 is -4, and 1 - 3 is -2. Now we have -4/-2. If you divide -4 by -2, you get positive 2, since a negative divided by a negative becomes positive. Therefore, any 2 points work to find the slope of a group of points.
Ответ:
The expected number of floors the elevator stops at, not counting the ground floor is =
n*(1-(1-1/n)^m)
Step-by-step explanation:
Here, we want to know the expected number of floors the elevator stops at.
let X1,X2,X3,..Xn are indicator variable for which value =1 if at least one person stops on that floor otherwise value is 0
P(at least one person stops at floor Xj)=1-P(none of m people stops at floor j)
=1-(1-1/n)^m
here total number of floors on elevetor Stops X=X1+X2+X3+...+Xn
hence expected number of floors on elevetor Stops
E(X)=E(X1)+E(X2)+E(X3)...+E(Xn)
=(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+ n times
=n*(1-(1-1/n)^m)