Answer:
B) (1/2, -8)
Step-by-step explanation:
(1, -6) and (0, -10)
Midpoint formula:
((x1+x2)/2, (y1+y2)/2)
Solving for x:
(x1+x2)/2
(1 + 0)/2
1/2
Solving for y:
(y1+y2)/2
(-6-10)/2
(-16)/2
-8
Answer:
See attached image for the requested graph
Step-by-step explanation:
The values completed in the table and text boxes as shown, are all correct.
For the plotting of the points and drawing of the line, please see the attached image.
Answer:
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
We are given the following information in the question:
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.
Let X be the number of messages arriving at a multiplexer.
Mean = 15
For poison distribution,
Mean = Variance = 15
![\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872](https://tex.z-dn.net/?f=%5Ctext%7BStandard%20Deviation%7D%20%3D%20%5Csqrt%7B%5Ctext%7BVariance%7D%7D%20%3D%20%5Csqrt%7B15%7D%20%3D%203.872)
From central limit theorem, we have:
where n is the sample size.
Here, n = 1 minute = 60 seconds
P(x > 950)
Calculation the value from standard normal z table, we have,
![P(x > 950) = 1 - 0.952 = 0.048](https://tex.z-dn.net/?f=P%28x%20%3E%20950%29%20%3D%201%20-%200.952%20%3D%200.048)
0.048 is the probability that more than 950 message arrive in one minute.
Answer: ![f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B7%7D%7B3%7D)
Step-by-step explanation:
To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.
[replace y with x and x with y]
[subtract both sides by 7/2]
[multiply both sides by -2/3]
[distribute]
![y=-\frac{2}{3}x+\frac{7}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B7%7D%7B3%7D)
Now, we have our inverse function.
![f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}](https://tex.z-dn.net/?f=f%5E-%5E1%28x%29%3D-%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B7%7D%7B3%7D)
Answer:
No because the 6+4 does not equal 36.
Step-by-step explanation:
first make the hypotenuse 6 the other two are sides A and B
Use the pythagorean theorem: 3^2+2^2+6^2
6+4=36