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zalisa [80]
2 years ago
10

How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
5 0

Answer:

3024

Step-by-step explanation:

Each chosen member (out of 9 members) will occupy a different position

out of these four (president , vice-president , secretary , treasurer).

So, here we have to calculate the <u>Number of Permutations</u> of 9 members Taken 4 at a Time :

= 9P4

= 9 × 8 × 7 × 6

= 3024

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You want to put a fence around your large yard. There are two companies that you have found to do the work. They have each given
dexar [7]

Answer:

STEP 1: See attached drawing  on graph paper

STEP 2:

Length of segment 1 - 2 = 100 feet

Length of segment 2 - 3 = 89.44 ft.

Length of segment 3 - 4 = 186.82 ft.

Length of segment 4 - 5 = 120.83 ft.

Length of segment 5 - 1 = 136.01 ft.

STEP 3:

The perimeter of the property is 633.103 ft.

STEP 4:

The cost of fencing by Company 1 is $7597.24

The cost of fencing by Company 2 is $8246.55

Therefore, the company that provides the cheapest quote for fencing the property is Company 1

Step-by-step explanation:

STEP 1: See attached drawing  on graph paper

STEP 2:

Therefore, we have

Length of segment 1 - 2 = √(8² + 6²) = 10 × 10 = 100 feet

Length of segment 2 - 3 = √(4² + 8²) = 4·√5× 10 = 40·√5 feet = 89.44 ft.

Length of segment 3 - 4 = √(5² + 18²) = √349 = 10·√349 feet = 186.82 ft.

Length of segment 4 - 5 = √(11² + 5²) = √146 = 10·√146 feet = 120.83 ft.

Length of segment 5 - 1 = √(11² + 8²) = √185 = 10·√185 feet = 136.01 ft.

STEP 3:

Therefore, the perimeter of the property = 100 + 89.44  + 186.82 + 120.83  + 136.01  = 633.103 ft.

STEP 4:

Hence the cost of fencing the property by Company 1 = $12 × 633.103 = $7597.24

The cost of fencing the property by Company 2 = $250 + $15 × 533.103 = $8246.55.

7 0
3 years ago
What is the minimum value of the objective function, C with given constraints? C=5x+6y ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪2x+y≤83x+4y≤17x≥2y≥1
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Answer:

The answer is 16

Step-by-step explanation:

I did the test

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3 years ago
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Answer:

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Step-by-step explanation:

negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.

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2 years ago
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Nuetrik [128]

Answer:

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Adam plans to choose a video game from a section of the store where everything is
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