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DiKsa [7]
3 years ago
8

Express 60 as the product of its prime factors in ascending order and give your answer in index form

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

{2}^{2}, 3, 5 are the prime factors of 60.

Step-by-step explanation:

60 = 2 \times 2 \times 3 \times 5 \\  =  {2}^{2}  \times 3 \times 5 \\

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Solve for x <br> A 15 <br> B 16<br> C 2.4<br> D 12
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Answer: bd=8 dc=2 and ae=4 so value of ab=16

Step-by-step explanation:

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Both of these lines share the relationship together of being parallel. 
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What is the value of i20+12
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Step-by-step explanation:

132

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3 years ago
The perimeter of a standard-sized rectangular rug is 44 feet. The width is 2 feet
mariarad [96]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Let the length be x

then width  = x-2

44 ft = 2(l+b)

44ft = 2(x + x-2)

44ft  =  2(2x-2)

44 ft = 4x -4

44+4 = 4x

48 = 4x

x = 48/4 = 12

Length = <u>x = 12</u>

Width = <u>x-2 = 12-2 =10</u>

<u></u>

<u>Length is 12 and width is 10</u>

<u></u>

<u>check if its correct </u>

2(l+b) = 44

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2(22) = 44

8 0
1 year ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
3 years ago
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