Answer:
144
Step-by-step explanation:
We will use permutations to solve this problem
There are 4 pairs each having a male and a female.
The total number of sample points is 4! = 4*3*2*1= 24
He chooses the male first then the number of sample space he is left with are 3! = 3*2*1=6
The total number of ways he can select is 4! 3! = 24 * 6= 144
Another way of finding it out is
he has 4 pairs each having a male and a female so he chooses 1st male then he would choose from this
4 female choices*3 male choices * 3 female choices *2 male choices *2 female choices *1 male choices *1 female choices *= 4*3*3*2*2*1*1= 144
There are only 2 factors of 17: 17 and 1
Answer:
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
Step-by-step explanation:
The computation of the next line in the sequence is shown below:
As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one
So,
1 = 1 × n
1 + (1+6) = 2 × n
1 + (1+6) + (1+6+6) = 3 × n
So, the next line would be
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
i.e.
1 + 7 + 13 + 19 = 4 × 10
As 1 + 7 + 13 + 19 = 40
And 40 = 4 × 10
Answer:
The speed of plane against wind S 1 = 1020 kmph And
The speed of plane with wind S 2 = 1260 kmph
Step-by-step explanation:
Given as :
The distance of airplane against the wind = D 1 = 3060 km
The time taken in against the wind = T 1 = 3 hours
The distance of airplane with the wind = D 2 = 7560 km
The time taken in with the wind = T 2 = 6 hours
Now, Speed of plane against the wind = 
So, S 1 = 
Or, S 1 = 
= 1020 kmph
Similarly
Speed of plane with the wind =
Or, S 2 = 
Or, S 2 = 
= 1260 kmph
Hence The speed of plane against wind S 1 = 1020 kmph And
The speed of plane with wind S 2 = 1260 kmph Answer
The answers is B because you set x+5=0 and x=-5 so that means that the graph needs to be shifted 5 units to the left because 5 is negative and to move 3 units down you just put a -3 at the end of the equation like this y=(x+5)-3
