Split the number 76 into the ratio 6:3:7:3 .
1 answer:
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Answer:
There are 1800 different ways.
Step-by-step explanation:
A permutation give as the total ways in which we can organized a group of elements where the order is important. So, the permutation of n elements when all of them are not different is calculate as:
Where k is the number of elements that are different, n1, n2, ... nk are the number of times that very element appears and n is equal to n1+n2+...nk.
In this case we have 5 differents and general ways to assign six jobs to five different employees:
1. the first employee receive 2 jobs
2. the second employee receive 2 jobs
3. the third employee receive 2 jobs
4. the fourth employee receive 2 jobs
5. the fifth employee receive 2 jobs
Then, if the first employe receive 2 jobs, its mean that we have six people to permutate and the first person appears two times.
So the permutation of this 6 element in which one is repeat 2 times is calculate as:
Therefore, there are 360 ways to organized five different employees into 6 jobs where the first person can receive two jobs.
For the other 4 options we can made the same calculation, so the total number of ways that we can organized five employees in six jobs are calculate as:
360*5=1800
Finally there are 1800 different ways.
Answer:
Step-by-step explanation:
From the given picture, it can be seen that the radius of the circle = 16 units
Also, the measure of central angle XYZ radians
The area of sector with radius r and angle x radian is given by :-
Now, the area of the shaded sector is given by :-
Answer:
the equation of g(x) is,
Step-by-step explanation:
The transformation of the function is defined as:
where, b represents the horizontal shift.
if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right
As per the statement:
The function f(x)=2x−5 is a linear function.
It is given that:
g(x) represent f(x) after a horizontal translation 3 units to the right.
⇒
then
⇒
⇒
Therefore, the equation of g(x) is,