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Savatey [412]
3 years ago
13

-2+4(-x+4)=10 using distributive property and collecting like terms

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1

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Answer:

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Step-by-step explanation:

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b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

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The population mean is M=80.

The sample size is N=25.

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d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

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