What is x? -8=-(x+4)
1 answer:
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As there are 3 couples, so that means there are total 3 × 2 = 6 people altogether.
So now to make 6 people sit on 6 sits can be done in folowing ways:
suppose these are 6 seats available
_____1__ ______2___ ____3______ ___4__ ____5___ ___6____
Now there are 6 ways to make a person sit on seat 1.
Once seat 1 is occupied we are left with 5 people (1 person sat on seat 1)
so now 2nd seat can be filled in 5 ways
after 1 person sat on seat 2, then 3rd seat can be filled in 4 ways ( out of 6 people already 2 people sat on seat 1 and 2 so only 4 people left for 3rd seat)
And similarly for 4th seat can be filled in 3 ways
then 5th seat can be filled in 5 ways
then 6th seat can be filled in only 1 way.
Now as per fundamental principle of counting if there are m ways to do one event and n ways to do another event so altogether are m × n ways to do them.
So using same fundamental principle of counting here we get total ways to make 6 people sit on 6 seats as 6 × 5 × 4 × 3 × 2 × 1 or 6! = 720 ------------(1)
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Now they want each couple to sit together. So every two particular people make one group (1 couple).
so like we saw 6 people can be seated on 6 seats in 6! ways (from (1))
similarly 3 couples can be seated in 3! or 3 × 2 × 1 = 6 ways
And 1st couple can sit in 2 ways amoung themselves (husband left wife right or wife left and husband right).
similarly 2nd couple can also sit in 2 ways amoung themselves
and 3rd couple can also sit in 2 ways amoung themselves
So altogether, by funadmental principle of counting, all 3 couples can be seated in 6 × 2 × 2 × 2 = 48 ways -----------(2)
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Probability of event is given by formula:
so favourable outcomes from (2) we have as 48
total number of outcomes from (1) we have 720.
so plug these value in probability formula
Probability =
To reduce this fraction divide by greatest common factor in 48 and 720 which is 48. so we get
so thats the final answer.
Answer:
Step-by-step explanation:
Let A be the event of getting a factor of 15 when a fair spinner numbered 1 - 5 spins and B be the event that a fair coin is tossed.
The factors of 15 =
Then ,the probability of obtaining a factor of 15 is given by :-
The probability of getting a tail :-
Since both the events are independent , thus
The probability of obtaining a factor of 15 and a tail is given by :-
Hence, the required probability :
Answer:
Step-by-step explanation:
Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.
In order to solve this exercise, it is importat to remember the following information:
1. The quotient is the result of a division.
2. The sum is the result of an addition.
3. The word "twice" indicates a multiplicatio by 2.
4. The word "cube" indicates an exponent 3.
Then, keeping on mind the explained above and the data given in the exercise, you know that:
-The sum of and
can be expressed as:
- Twice the cube of can be expressed in the following form:
Therefore, you can dermine that "the quotient of the sum of and
and twice the cube of
" is represented with the following expression:
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