Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that





As we know the formula for expectation of x i.e. known as mean for the probability distribution,

So, we apply this formula in our case,


Hence, the mean for the probability distribution will be 69.25.
40 minutes*7 days of the week= 280 minutes a week. So, 320-280= 40 minutes left over. 40:320= 1:8. You were correct!
The length is 12, because if it's 9 inches wide it has two sides of 9 inches which is 18. Then subtract that from the intial value 42 to get 24. After, you divide 24 by 2 due to there being 2 sides of the box and 24 is the sum of both sides. Hopethis helps!
Answer: 288ways
Step-by-step explanation:
There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.
Note that Siamese twins cannot be separated as such both are taken as one making it 4!.
Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes
The final seating arrangement can be done in 2!×(5!+4!) ways
= 2× (120+24)
= 2×144
= 288ways.
Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.
Equations can have one solution, but inequalities have infinite solutions.
Hope this helps!