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Fiesta28 [93]
3 years ago
13

10 points :) Thanks sm! (attached below)

Mathematics
1 answer:
givi [52]3 years ago
3 0

Answer:

Average : 10,724.2857 miles

Step-by-step explanation:

To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -

\frac{10150+10211+10424+10769+10884+11155+11477}{7}

Adding the numerator values : 10150+10211+10424+10769+10884+11155+11477=75070

\frac{75070}{7} = 10724.28571\dots

Ling traveled an average of about 10,724.2857 miles.

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Prove that |a| < b if and only if -b < a < b
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Answer:

Since,

|x|=\left\{\begin{matrix}x &\text{ if } x \geq 0 \\ -x &\text{ if } x < 0\end{matrix}\right.

Here, the given equation is,

|a| < b

Case 1 : if a ≥ 0,

|a| < b ⇒ a < b

Case 2 : If a < 0,

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( Since, when we multiply both sides of inequality by negative number then the sign of inequality is reversed. )

|a| < b ⇒ a < b or a > - b ⇒ -b < a < b

Conversely,

If -b < a < b

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