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il63 [147K]
3 years ago
8

What is the greatest common factor of 36 and 27

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:

  9

Step-by-step explanation:

When the numbers are relatively close together, it is often useful to see if their difference is a factor:

  36 -27 = 9

Checking ...

  36 = 4×9

  27 = 3×9

9 is the greatest common factor of 27 and 36.

_____

<em>How to find the greatest common factor (GCF)</em>

The Euclidean algorithm has you find the remainder from division of the larger by the smaller. If that remainder is zero, the smaller is the GCF. If the remainder is nonzero, it replaces the larger number and the process is repeated. When the larger number is less than twice the smaller, the remainder is their difference.

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Which number is an integer? 6 4.2 3/4 5 1/2
stellarik [79]

Answer:

5, 6

Step-by-step explanation :

3 0
3 years ago
Read 2 more answers
Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10
makkiz [27]

9514 1404 393

Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

  5 = 5

  10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
5 0
2 years ago
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

The probability mass function of poisson distribution is given by

P(X) = , x = 0,1,2,3,...,n.

Where, μ(mean of the poisson distribution)

a).

Given that time period t = 1hr.

Then,μ = 8t

             = 8(1)

             = 8

Now,

The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =  

              =  

              =  

              = 0.1219.

Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

1).P(At least 6) = P(X 6)

Consider,

P(X 6) = 1 - P(X5)

                = 1 - {+++++}

                = 1 - (){+++++}

                = 1 - (0.000335){+++++}

                = 1 - (0.000335){1+8+32+85.34+170.67+273.07}

                = 1 - (0.000335){570.08}

                = 1 - 0.1909

                = 0.8090.

Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

                 = 1 - {+++++

5 0
3 years ago
What is the sum of the measures of the exterior angles of a decagon?
My name is Ann [436]

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

4 0
2 years ago
In the cookie jar there are 20 cookies. 1/4
stepan [7]

Answer:

15 chocolate chip

Step-by-step explanation:

1/4 of 20 is 5

this means there are 5 peanut butter cookies.

so 20-5= 15

this means there are 15 chocolate chip cookies

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>!</em>

4 0
3 years ago
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