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nikklg [1K]
3 years ago
5

Find the greatest common factor of the terms in the following expression 18x+12xy​

Mathematics
1 answer:
Anarel [89]3 years ago
8 0
<h3>Answer:   6x</h3>

=============================================

Explanation:

Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values

  • 18 = 6*3
  • 12 = 6*2

Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.

Note how

18x + 12xy = 6x*3+6x*2y = 6x(3+2y)

Showing we can factor out the GCF using the distributive property.

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If four pounds of a certain candy cost $10 how manu pounds of that candy can be purchased for $12
dangina [55]
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2 years ago
Recently, TWA reported an on-time arrival rate of 78.4%. Assume that a later random sample of 750 flights results in 630 that ar
WINSTONCH [101]

Answer:

Step-by-step explanation:

1. Null hypothesis: u <= 0.784

Alternative hypothesis: u > 0.784

2. Find the test statistics: z using the one sample proportion test. First we have to find the standard deviation

Using the formula

sd = √[{P (1-P)}/n]

Where P = 0.84 and n = 750

sd =√[{0.84( 1- 0.84)/750]}

sd=√(0.84 (0.16) /750)

SD =√(0.1344/750)

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Then using this we can find z

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z =(0.056/0.013)

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3. Find the p value and use it to make conclusions...

The p value at 0.02 level of significance for a one tailed test with 4.3077 as z score and using a p value calculator is 0.000008254.

4. Conclusions: the results is significant at 0.02 level of significance suck that we can conclude that its on-time arrival rate is now higher than 78.4%.

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3 years ago
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Combining the two regions of y > 2 and y > x leads to what is shown.

6 0
1 year ago
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