Answer:
The water in the tank filled to capacity lasts 20 days.
Step-by-step explanation:
Total number of students in the hostel = 300
The average need of water per day = 36,000 L
The dimensions of the tank = 10 m × 8 m × 9 m
Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT
= 10 m × 8 m × 9 m = 720 cubic meters
Now, 
⇒
So, the capacity of the tank = 720,000 L
and the average usage of water by 300 students = 
⇒
or, number of days = 20
Hence, the water in the tank filled to capacity lasts 20 days.
Answer:
Here is how
Step-by-step explanation:
You find your answer to the problem and explain how do did it or you write the steps of how you did the problem. Also put your answer.
Answer:
42.5 or 43
Step-by-step explanation:
Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.
Hope this helped somewhat! ;(
Answer:
And we can find the individual probabilities using the probability mass function and we got:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want this probability:
And we can use the complement rule and we got:
And we can find the individual probabilities using the probability mass function and we got:
And replacing we got:
Answer: (a) = 110 degrees, (b) = 8
If I understand the picture correctly, (a) wants you to find the angle K. It first shows us that both J to K, and L to K are equal in length of 11, thus there is no deviation in angle 35 degrees with L (so they both equal each other). Therefore, the angle K will equal 180 degrees subtracted by the sum of J and L, which is 110 degrees.
For (b), it appears that all the angles have the same singular mark at the edges, so all sides will equal 8.
I hope this helped!
