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inn [45]
3 years ago
8

A high school sewing club has 11 members. In how many different ways can they choose a president and vice president?

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
6 0
Since the order matters  Person A and B can be chosen as AB (A pres B vice pres) or BA (B president  A Vice president)

When the order matters we are talking about permutations. How many permutations of 11 taken 2 at a time are there.
It can be written like this 11nPr 2
It means start at 11 and multiply by the next lower number 
11 x 10 = 110 ways they can choose.
Extension of the concept:
If there had been three positions President, Vice President, and Treasurer
then it would be 11nPr3  or 11 x 10 x 9
Once again the answer to your problem is 110.
ahrayia [7]3 years ago
3 0

Answer: 110


Step-by-step explanation: Apex


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Lowkey forgot how to do this so I’m stuck._.
expeople1 [14]

Answer:

113.04

Step-by-step explanation:

area is πr², so 3.14·6²·3.14 = 113.04

3 0
3 years ago
Read 2 more answers
A college faculty consists of 400 men and 250 women. The college administration wants to draw a sample of 65 faculty members to
galina1969 [7]

Answer:

The type of sample is Stratified sampling.

Step-by-step explanation:

Consider the provided information.

Types of sampling.

  • Random sampling is similar to placing the name of everyone in a hat and pulling out a few names.
  • In Systematic sampling, we list of elements is counted off.
  • Convenience sampling: data which is readily available is used. That is, the first people are running into by the surveyor.
  • In Cluster sampling, we divide the population into groups, usually geographically.
  • In Stratified sampling we divide population into groups called strata. but this time population might be separated into males and females.

Here the population is divided into groups of males and females therefore it is stratified sampling.

Hence, the type of sample is Stratified sampling.

5 0
3 years ago
What is the reciprocal Consider the expression (5) of the base? Write your answer as a fraction, using the / symbol, like this:
lora16 [44]
Reciprocal of a fraction<h2>Answer</h2>

8/7

<h2>Explanation</h2>

In this case, the base is 7/8 and the exponent is -4.

In order to find the reciprocal of a fraction we just have to flip it upside down:

That is why the answer is 8/7.

3 0
1 year ago
the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
PSYCHO15rus [73]

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

6 0
3 years ago
NEED HELP ASAP !!!<br><br> Simplify: √16r<br> O 47²<br> O 473<br> 87²<br> O 8-3
Vlad1618 [11]

Answer:

4 r^3

Step-by-step explanation:

sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3

6 0
1 year ago
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