It's 4. The factors of 12 are: 1,2,3,4,6,12. The factors of 20 are: 1,2,4,5,10,20.
Mukat gets 40, Usha gets 8
Step-by-step explanation:
Mukat = 5 × Usha
After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)
Then Mukat = final number of books for Usha
5 × Usha - 16 = Usha + 16
(5 × Usha ) - Usha = 16+16
4 × Usha = 32
Usha = 8 i.e her number of books.
Mukat = 5×8=40.
I HOPE IT'S OK
In simplified form it is 5x+5
Domain is the values of y.
Plug the x values in the equation to find the corresponding y values:
when x=0, y=3
when x=2, y=-1
when x=-6, y=15
so the answer is D
Answer: e. .0950
Step-by-step explanation:
Let X be the number of people that can be cure from disease.
Since each people independently has a 40% chance of contracting the disease.
So , 
A hospital has the capacity to handle at most 8 cases of the disease.
Binomial distribution formula : 
Then , the probability that the hospital’s capacity will be exceeded
![P(X>8)=1-P(X\leq8)\\\\=1-0.905\ \ [\text{Using Binomial distribution table for n=15 , x=8 and p=0.4.}]](https://tex.z-dn.net/?f=P%28X%3E8%29%3D1-P%28X%5Cleq8%29%5C%5C%5C%5C%3D1-0.905%5C%20%5C%20%5B%5Ctext%7BUsing%20Binomial%20distribution%20table%20for%20n%3D15%20%2C%20x%3D8%20and%20p%3D0.4.%7D%5D)

Hence, the probability that the hospital’s capacity will be exceeded is e. .0950.
Thus , the correct option is e. .0950.