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Novay_Z [31]
2 years ago
10

You are competing in a race. The table shows the times from last year's race you want your time to be last year's median time wi

th an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time in minutes) you hope to achieve​

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

Answer:

27\leq x \leq37

Step-by-step explanation:

Let's arrange the numbers from least to greatest:

20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48

The median is the "middle" number when arranged from least to greatest.

There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.

6th term = 32

7th term = 32

Average = (32+32)/2 = 32

Hence, median = 32

Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.

So, 32 - 5 = 27  &  32 + 5 = 37

Hence  27\leq x \leq37

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Answer:

Part A) The correct Expression : (1.05)(190)(0.8)

=> The error of Joel was that instead of adding the sales tax, he subtracted it.

Part B) $159.60

Step-by-step explanation:

<u><em>Part A:</em></u>

To calculate the computer cost, we need to find out the selling price first.

There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8

<em>So, We'll multiply the cost price by 0.8</em>

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So, the expression will be:

=> (1.05)(190)(0.8)

The error of Joel was that instead of adding the sales tax, he subtracted it.

<u><em>Part B)</em></u>

<u><em>Joel will pay for the tablet:</em></u>

=> (1.05)(190)(0.8)  [We used the above expression]

=> $159.60

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