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Arlecino [84]
3 years ago
11

2.a)Find the prime factorizations of 90 and 168.

Mathematics
1 answer:
balu736 [363]3 years ago
4 0
90|2\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\90=2\cdot3\cdot3\cdot5\\\\168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7

100|2\\.\ 50|2\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\100=2\cdot2\cdot5\cdot5\\\\126|2\\.\ 63|3\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\126=2\cdot3\cdot3\cdot7
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SOLVE THIS PROBLEM ASAP PLS
boyakko [2]

Answer:

See below.

Step-by-step explanation:

9+(-4), or 9-4

7+(-2), or 7-3

5+0

They all equal 5.

-hope it helps

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Question: determine all solutions to the diophantine equation 3x + 7y = 4
yKpoI14uk [10]
The difference between the coefficients 7 and 3 is 4, so one solution is
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Some of the solutions are (for n=0, -1, -2, 1, 2)
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3 years ago
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Read 2 more answers
Scores on an english test are normally distributed with a mean of 31.5 and a standard deviation of 7.3. find the score that sepa
kobusy [5.1K]

Let X be the score on an english test which is normally distributed with mean of 31.5 and standard deviation of 7.3

μ = 31.5 and σ =7.3

Here we have to find score that separates the top 59% from the bottom 41%

So basically we have to find here x value such that area above it is 59% and below it is 49%

This is same as finding z score such that probability below z score is 0.49 and above probability is 0.59

P(Z < z) = 0.49

Using excel function to find the z score for probability 0.49 we get

z = NORM.S.INV(0.49)

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It means for z score -0.025 area below it is 41% and above it is 59%

Now we will convert this z score into x value using given mean and standard deviation

x = (z* standard deviation) + mean

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x = 31.6825 ~ 31.68

The score that separates the top 59% from the bottom 41% is 31.68

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3 years ago
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