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muminat
3 years ago
13

How to solve the inequality

Mathematics
1 answer:
beks73 [17]3 years ago
4 0

Answer:

x\geq 19/6

Step-by-step explanation:

1. Multiply both sides by 6 (the LCM of 6,3)

5/2 + 3-x <= 2(x-2)

2. Simplify 5/2+3-x to 11/2-x

11/2 - x<=2 (x-2)

3. Expand.

11/2-x<= 2x-4

4. Add x to both sides.

11/2<= 2x-4+x

5. Simplify 2x-4+x to 3x-4.

11/2<=3x-4

6. Add 4 to both sides.

11/2+4<=3x

7. Simplify 11/2+4 to 19/2

19/2<=3x

8. Divide both sides by 3

19/2 /3 <=x

9. Simplify 19/2 /3 to 19/2*3

19/2*3<=x

10. Simplify 2*3 to 6

19/6<=x

11. Switch sides.

x>= 19/6

Hope this helps!

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Answer:

There are 524,560 ways that the committee can be​ appointed.

Step-by-step explanation:

There are 9 different positions, a president, 3 officers and five committee members.

So

P - O1 - O2 - O3 - C1 - C2 - C3 - C4 - C5

There are 17 candidates, any of them can be president. So P = 17.

All of the others can be an officers. So O1 = 16, O2 = 15(17 subtracted by the president and O1), O3 = 14.

The officers can be committee members, so, C1 = 16, C2 = 15, C3 = 14, C4 = 13, C5 = 12.

How many different ways can the committee be​ appointed?

This is the sequence C1...C5:

N = 16*15*14*13*12 = 524,560

There are 524,560 ways that the committee can be​ appointed.

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Find the MAD for this set of data.
Nostrana [21]

Answer:

Hence MAD=0.8

Step-by-step explanation:

<u>MAD-</u>

MAD is also known as Mean Absolute Deviation.

We find MAD by the following steps:

  • Firstly we find the mean of the data
  • Then we subtract each entry from the mean to obtain the deviation
  • Then find the absolute value of the deviation which is also known as absolute deviation.
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Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.

The absolute deviation is given as:

1    3    1    0    0    1    0    0    1    1

The mean of this is calculated as:

\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8

Hence, MAD=0.8




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