The answer is D you are multiplying the hours, days, weeks, and months, hopes this helps (:
Answer:
The duration of the randomly selected class is 52.6 minutes.
Step-by-step explanation:
The random variable <em>X</em> is defined as the duration of a professor's class.
It is provided that,
.
The pdf of <em>X</em> is:

It is provided that the probability that the duration of the class is longer than <em>c</em> number of minutes is 0.468.
That is, P (X > c) = 0.468.
Compute the value of <em>c</em> as follows:
![P(X>c)=0.468\\\\\int\limits^{55.5}_{c}{\frac{1}{55.5-49.2}}=0.468\\\\\frac{1}{6.3}\times [x]^{55.5}_{c}=0.468\\\\55.5-c=2.9484\\\\x=52.5516\\\\x\approx 52.6](https://tex.z-dn.net/?f=P%28X%3Ec%29%3D0.468%5C%5C%5C%5C%5Cint%5Climits%5E%7B55.5%7D_%7Bc%7D%7B%5Cfrac%7B1%7D%7B55.5-49.2%7D%7D%3D0.468%5C%5C%5C%5C%5Cfrac%7B1%7D%7B6.3%7D%5Ctimes%20%5Bx%5D%5E%7B55.5%7D_%7Bc%7D%3D0.468%5C%5C%5C%5C55.5-c%3D2.9484%5C%5C%5C%5Cx%3D52.5516%5C%5C%5C%5Cx%5Capprox%2052.6)
Thus, the duration of the randomly selected class is 52.6 minutes.
Answer:
20
Step-by-step explanation:
The number of combinations of 6 points taken 3 at a time is ...
6!/(3!·(6-3)!) = 6·5·4/(3·2·1) = 5·4 = 20
___
If you number the points 1–6, the points of the 20 triangles will be ...
123 124 125 126 134
135 136 145 146 156
234 235 236 245 246
256 345 346 356 456
Answer:
36
Step-by-step explanation:
-9*-4=36