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3 years ago

5

Erin is 3 years older than Maddie. Let m represent Maddie's age. Let e represent Erin's age. Create an equation to show Maddie's

age, m, in terms of Erin's age, e. Make sure you answer it correctly. Also, please explain. Thanks.! :)

1 answer:

hodyreva [135]3 years ago

6 0

Erin age = e
Maddie age = m
E= M+3
because Erin = Maddies age + 3 years

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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$\bar X =4.97$ represent the sample mean

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s=0.0461 represent the sample standard deviation

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The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=19-1=18$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.10$

Now we have everything in order to replace into formula (1):

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

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gladu [14]

4x - y = 5 --> 4x = y + 5

substitute

4x + 4y = -4

(y + 5) + 4y = -4

5y + 5 = -4

5y = -9

y = -1.8

solve x

4x = y + 5 = -1.8 + 5 = 3.2

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