Answer:
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)
The missing angle is 27° because a triangle equals 180° and 180-119=61 and 61-34= 27.
Answer:
x = -5
Step-by-step explanation:
-2x+2(5x+18)=-4
The first thing you would have to do is distribute the positive 2 with 5x and 18 so that means you would multiply those two number inside the parenthesis.
-2x+ 10x+ 36=-4 2(5x)=10x 2(18)=36
Now you combined like terms on the other side of the -4. So since -2x and 10x are like terms because of the variables you would do -2x+10x=8x. So now your equation is 8x+36=-4. So now you want you x by itself so you would subtract 36 on both sides so positive 36 subtracted by 36 is 0 now you subtract 36 to -4 so that equals -40 because you did -4-36=-40. So now you have 8x=-40 so now you divide both sides by 8x so -40/8=-5
x=-5
Answer:
(B) The measure of angle SUT is equal to 90 degrees
Step-by-step explanation:
It is given that in In triangle STU, 
.
We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.
that is:
where u is the hypotenuse, s is the base and t is the perpendicular.
Thus, the angle SUT should be of 90°.
Thus, The measure of angle SUT is equal to 90 degrees.
Hence, option B is correct.
