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Sladkaya [172]
3 years ago
7

Find the value of y if M is the midpoint of LN. 9y - 4 6y + 5 N ​

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

If M is the midpoint, then LM = MN.

3x - 2= 2x +1.

x = 3.

So LM = 3x - 2 = 9 -2 = 7.

LM = 7.

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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0
3 years ago
-2(5 + 6n) < 6(8 - 2n) solve for n
alexandr402 [8]

Answer:

All real numbers Interval Notation: (-∞,∞)

Step-by-step explanation:

Any value of n makes the inequality true.

Hope this helps.

8 0
2 years ago
Which expression is equivalent to 2^5?
tatiyna
5 x 5

Hope This Helps!
Can I get Brainliest?
8 0
3 years ago
Suppose a number is rounded to the nearest hundred thousand. What is a number greater than 700,000 that rounds to 700,000?
tatiyna
Any number greater than 700,000 with ten-thousands digit 1 through 4 will round down to 700,000.  For example, 748,235 will round to 700,000.
5 0
3 years ago
The pentagonal prism below has a base area of 38 units? and a height of 7.4 units.
alina1380 [7]

281.2 units³

volume of Prism: Base Area x Height

Here given:

Base Area: 38 units²

Height: 7.4 units

Solve for volume:

38 x 7.4

281.2 units³

5 0
2 years ago
Read 2 more answers
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