Answer:
-9/11
Step-by-step explanation:
The slope of a line given two points is
m = (y2-y1)/(x2-x1)
= (-2-7)/(8--3)
= (-9)/(8+3)
=-9/11
Hope this helped you. :)
9514 1404 393
Explanation:
a) The velocity curve is linearly increasing from 0 to 6 m/s over a period of 2 seconds, then linearly decreasing from 6 m/s to 0 over the same period. The acceleration is the rate of change of velocity, so for the first half of the motion the acceleration is a constant (6 m/s)/(2 s) = 3 m/s². Similarly, over the second half of the motion, the acceleration is a constant (-6 m/s)/(2 s) = -3 m/s².
The distance traveled is the integral of the velocity, so the linearly increasing velocity will cause the distance vs. time curve to have a parabolic shape. The shape will likewise be parabolic, but with decreasing slope, as the velocity ramps down to zero. Overall, the distance versus time curve will have an "S" shape.
The motion (position and velocity) will be continuous, but the acceleration will not be. There will be a significant "j.erk" at the 2-second mark where acceleration abruptly changes from increasing the velocity to braking (decreasing the velocity).
__
b) The attachment shows the (given) velocity curve in meters per second and its integral, the position curve, in meters.
The integral in the attached works nicely for machine evaluation. For hand evaluation, it is perhaps best written piecewise:
a. What is the expected number of calls in one hour?
b. What is the probability of three calls in five minutes?
c. What is the probability of no calls in a five-minute period?
Answer:
a) The expected number of calls in one hour is 30.
b) There is a 21.38% probability of three calls in five minutes.
c) There is an 8.2% probability of no calls in a five minute period.
Step-by-step explanation:
In problems that we only have the mean during a time period can be solved by the Poisson probability distribution.
Poisson probability distribution
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
a. What is the expected number of calls in one hour?
Calls come in at the rate of one each two minutes. There are 60 minutes in one hour. This means that the expected number of calls in one hour is 30.
b. What is the probability of three calls in five minutes?
Calls come in at the rate of one each two minutes. So in five minutes, 2.5 calls are expected, which means that . We want to find P(X = 3).
There is a 21.38% probability of three calls in five minutes.
c. What is the probability of no calls in a five-minute period?
This is P(X = 0) with .
There is an 8.2% probability of no calls in a five minute period.
please help with this!!!
Step-by-step explanation:
K is an upper bound for│f"(x)│on the interval [0, 1], so x ≤ 1.
Sine and cosine have maximums of 1, so an upper bound of │f"(x)│is:
│f"(x)│≤ (76 · 1 + 152 · 1 · 1)
│f"(x)│≤ 228
Answer:
A.) slope= 4 and y intercept= 3
Step-by-step explanation:
y = x4+3
Answer:
y = x4+3
Step-by-step explanation:
look at answer