Answer:
See pmf of Y below
Step-by-step explanation:
Let's abbreviate the days by using the first letter, W, T, F and S.
The following array shows the possible probabilities for Y.
Since the probabilities are independent Y(a,b) = P(a)*P(b) for any day a,b.
The array shows the pmf of Y, that is, the probability that the number of days <em>beyond TUESDAY</em> (as we are considering W) that it takes for both magazines to arrive after Wednesday equals to or is greater than 0.
![\bf \left[\begin{array}{ccccc}Day&W&T&F&S\\W&0.28^2&0.28*0.38&0.28*0.21&0.28*0.13\\T&0.38*0.28&0.38^2&0.38*0.21&0.38*0.13\\F&0.21*0.28&0.21*0.38&0.21^2&0.21*0.13\\S&0.13*0.28&0.13*0.38&0.13*0.21&0.13^2\end{array}\right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7DDay%26W%26T%26F%26S%5C%5CW%260.28%5E2%260.28%2A0.38%260.28%2A0.21%260.28%2A0.13%5C%5CT%260.38%2A0.28%260.38%5E2%260.38%2A0.21%260.38%2A0.13%5C%5CF%260.21%2A0.28%260.21%2A0.38%260.21%5E2%260.21%2A0.13%5C%5CS%260.13%2A0.28%260.13%2A0.38%260.13%2A0.21%260.13%5E2%5Cend%7Barray%7D%5Cright%5D)
computing the probabilities, we get the array
![\bf \left[\begin{array}{ccccc}Day&W&T&F&S\\W&0.0784&0.1064&0.0588&0.0364\\T&0.1064&0.1444&0.0798&0.0494\\F&0.0588&0.0798&0.0441&0.0237\\S&0.0364&0.0494&0.0273&0.0169\end{array}\right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7DDay%26W%26T%26F%26S%5C%5CW%260.0784%260.1064%260.0588%260.0364%5C%5CT%260.1064%260.1444%260.0798%260.0494%5C%5CF%260.0588%260.0798%260.0441%260.0237%5C%5CS%260.0364%260.0494%260.0273%260.0169%5Cend%7Barray%7D%5Cright%5D)
The right way to read Y is Y(row,column). For example, the probability that magazine 1 arrives on Thursday and magazine 2 arrives on Friday is Y(T,F) = 0.0798.
Answer:
A
Step-by-step explanation:
The position of an atom moving inside a cathode ray tube is given by the function:
Where f(t) is in meters and <em>t</em> is in seconds.
And we want to determine its instantaneous velocity at <em>t</em> = 2.5 seconds.
The velocity function is the derivative of the position function. Thus, find the derivative of the function:
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Then the instantaneous velocity at <em>t</em> = 2.5 will be:
Our answer is A.
Answer: A) Corresponding Angles
Refer to the diagram below.
Two angles are corresponding to each other when they are on the same line that crosses two parallel lines, one angle is inside the parallel lines, the other is on the outside.
Answer:
For the first one, you get x<7.
For the second one, you get x >_ 11
Step-by-step explanation:
For the first one: -2x - 2 > -16
Step 1. Add 2 to both sides.
-2x - 2 +2 > -16 + 2
-2x > -14
Step 2. Divide both sides by -2 and switch the sign
-2x/-2 > -14/-2
x < 7
For the second one: 2x - 1 >_ 21
Step 1: Add 1 to both sides
2x -1 +1 >_ 21 + 1
2x >_ 22
Step 2: Divide both sides by 2
2x/2 >_ 22/2
x >_ 11
hope this helps!
