Speed = distance/time
distance = speed * time
let x = time covered by running
15 = run distance + walk distance
15 = 9(x) + 3(3-x)
15 = 9x + 9 - 3x
15 - 9 = 6x
6 = 6x
x = 1 hour
Therefore:
Running distance = speed * time
RD = 9km/hr * 1 hr
RD = 9km
I hope this helps: first when graphing y=Mx+b always start with ur y-intercept or b so in this case y = -3x + -4 u would go down 4 spaces and right three spaces or till u reach -3 on the second quadrant. For the second one you’ll do (0,0) find the slope with the coordinate given to you.
Answer:
9
Step-by-step explanation:
Compare your x2 + y2=81 to the following:
x^2 + y^2 = 81
The " ^ " symbol indicates exponentiation.
Now compare x^2 + y^2 = 81 to
x^2 + y^2 = r^2.
This is the standard equation of a circle of radius r centered at the origin, (0,0). You can see for yourself that 81 must equal r^2.
Taking the square root of 81, we get plus or minus 9.
But the radius must be positive, so we reject the -9 and take +9.
The radius is 9.
Answer:
- 2/3
Step-by-step explanation:
Slope = y2 - y1/x2 - x1
Given
x1 = 4
y1 = -3
x2 = -2
y2 = 1
Slope = 1 - (-3) /-2 -4
= 1 + 3 /-2 -4
= 4/-6
= 2/-3
= - 2/3
Answer:
a) P(1) = 0.1637
b) 
c) E(x) = 0.2
Step-by-step explanation:
If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:
Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:
Additionally, the probability that a disk has at least two missing pulses can be calculated as:
Where 
.
Then, 
and 
are calculated as:
Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2
