Answer:
The euation of the linear function is:
Step-by-step explanation:
As the function has the values
Thus, the two points are:
Finding the slope between (5, -1) and (0, -1)
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept
We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.
so at x = 0, y = -1
Thus, the y-intercept 'b' = -1
Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation
y = mx+b
y = 0x + -1
y = -1
Therefore, the euation of the linear function is:
Looks like the PMF is supposed to be
which is kinda weird, but it's not entirely clear what you meant...
Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:
Next,
If
, then
, where we take the positive root because we know
can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that
can take on the values
,
, and
. At these values of
, we would have the same probability as we did for the respective value of
. That is,
Part (5) is incomplete, so I'll stop here.
#1
(56,7) is the co-ordinate of point B.
#2
(56,7)
It means that the ball has travelled 56yards .it is at the height of 7ft.
In the question, they give you the formula for speed...
speed = distance / time
They also give you the distance and the time, so all we have to do is stick them into the equation...
speed = 3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3
To divide the fractions, first we need to convert 3 2/3 into an improper fraction
3 2/3 = 11/3
now we multiply 11/3 x the reciprocal of the divisor 1/3. The reciprocal just means flip the numerator and denominator
speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour
