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algol13
3 years ago
7

Suppose that there are 11 employees in an office. The boss needs to select 5 of the employees to

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

462ways

Step-by-step explanation:

This Is a combination problem, we we are expected to determine the number of possible ways of selecting the numbers of staffs for a business trip

C(n, r) were n= 11

r=5

C(n, r) = n!/(n-r)! r!

C(n, r) = 11!/(11-5)! 5!

C(n, r) = 11!/(6)! 5!

C(n, r) = 11*10*9*8*7*6!/(6)! 5*4*3*2*1

C(n, r) = 11*10*9*8*7/5*4*3*2*1

C(n, r) = 55440/120

C(n, r) = 462

The number of possible ways is 462

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A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads
kifflom [539]

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

5 0
2 years ago
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A stratified sample in which the number of sampling units drawn from each stratum is in proportion to the population size of the
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3 years ago
A rectangle has two different side lengths: One is (4p-5) inches. The other is (3p+2) inches. Find the perimeter of the rectangl
Anika [276]

The perimeter of rectangle is 14p-6.

Step-by-step explanation:

Given,

One side of rectangle = 4p-5  inches

Length of other side = 3p+2 inches

Perimeter of rectangle = 2( Length of one side + Length of other side)

Perimeter = 2(4p-5+3p+2)\\Perimeter = 2(7p-3)\\Perimeter = 14p-6

The perimeter of rectangle is 14p-6.

Keywords: rectangle, perimeter

Learn more about rectangle at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

7 0
3 years ago
Hose 1 in June took 45 mins to fill a pool of height of 20 inches and length 110 inches. Hose 2 in July took 15 mins to fill the
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Answer:

there isnt enough evidence to colclude an answer

Step-by-step explanation:

6 0
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Order the numbers from least to greatest.<br> 1/8, 5/7, 0.35,0.39, 9/10
Anna11 [10]

Answer:

1/8, 0.35, 0.39, 5/7, 9/10

Step-by-step explanation:

1/8 = 0.125

5/7 = 0.714

0.350

0.390

9/10 = 0.900

now let's order them from least to greatest:

0.125 , 0.350 , 0.390 , 0.714 , 0.900

= 1/8, 0.35, 0.39, 5/7, 9/10

if you have trouble with these types of problems change them all into decimals which will make things easier!

:D

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3 years ago
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