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ryzh [129]
2 years ago
6

Divide 96 in a ratio of 7:5​

Mathematics
1 answer:
kicyunya [14]2 years ago
4 0
Let the numbers be 5x and 7x
so,
5x+7x = 96
12x = 96
x = 8
so, the numbers are 40 and 56
96 in the ratio of 5:7 is 40:56
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If each lap in a pool is 100 meters long, how many laps equal 1 mile? (1ft= 0.3048 meters
Tresset [83]
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6 0
3 years ago
PHOTO ATTACHED, please help ASAP, will give brainliest
Svetradugi [14.3K]

Answer: <u>x=11</u>

Step-by-step explanation:

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9=x-2

11=x

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3 0
2 years ago
A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial off
Yakvenalex [24]

Answer:

a) The officers can be appointed in 24024 different ways.

b) The committee can be appointed in 1001 different ways.

c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates

Step-by-step explanation:

The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.

Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

A. How many different ways can the officers be ​appointed?

4 from a set of 14, with roles. So a permutation.

P_{(14,4)} = \frac{14!}{(14-4)!} = 24024

The officers can be appointed in 24024 different ways.

B. How many different ways can the committee be​ appointed?

4 from a set of 14, without roles. So combination

C_{14,4} = \frac{14!}{4!(14-4)!} = 1001

The committee can be appointed in 1001 different ways.

C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates?

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes.

The three youngest(1 combination), and one of the other 14-3 = 11. So D = 1*11 = 11

Total outcomes:

From B., 1001, so T = 1001

Probability:

p = \frac{D}{T} = \frac{11}{1001} = 0.011

1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates

8 0
3 years ago
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