100m= 0.621371 miles
11 seconds = 0.0030556 hours
s=d/t
0.0621371miles/0.0030556hours = 20.3355miles/hours
round off to 20.3 miles per hour
Answer: $12x - $275 = p
Step-by-step explanation:
$12x < how much it cost per seat/ticket
$275< How much they paid to rent the place
p< The profit
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
![E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%29%5Cdfrac%7B1%7D%7B2%7D%2B%20%284%20%2B%20E%5BX%5D%29%5Cdfrac%7B3%7D%7B10%7D%2B%201%20%28%5Cdfrac%7B2%7D%7B10%7D%29)
![E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%290.5%2B%20%284%20%2B%20E%5BX%5D%290.3%2B%200.2)
Solving for E[X]; we get
E[X] = 12
Answer:
The slope of a line perpendicular to the line whose equation is 4x - 5y = 10 is -5/4.
Step-by-step explanation:
provided the equation;
4x- 5y=10.(let it be equation of line1 )
and the other line be line2
from perpendicularty principle
M1×M2= -1
BUT for M1(slope of line L1)
y= mx+c
where "c" is constant value.
"m" is slope.
therefore
5y= 4x - 10
(dividing by five throughout)
y=(4x/5) - 2
y= (4/5)x - 2
therefore M1= (4/5)
Returning back to our principle
M1×M2= -1
(4/5)M2=-1
<u>M2= -5/4</u>
