I'm thinking of a number. When I multiply by 8 and add –1, I get –17. What's my number?

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Say that you're thinking of number $x$

You multiply it by 8, and have $8x$

You add -1 (i.e., you subtract 1) and have $8x-1$

This equals -17, so you have

$8x-1=-17$

Add 1 to both sides

$8x=-16$

Divide both sides by 8:

$x=-2$

So, you were thinking of -2.

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A) The two line plots are attached.

B) In order to calculate the mean, you have to sum all the values and divide it by the number of values:
m(MSH) = (34 + 34 + 30 + 30 + 30 + 28 + 28 + 26) ÷ 8
= 240 ÷ 8
= 30

m(RM) = (40 + 38 + 36 + 36 + 36 + 36 + 34 + 32) ÷ 8
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In order to calculate the mean absolute deviation (MAD), you need to calculate the absolute values from the mean, sum them up and divide it by the number of values; the absolute values of the difference from the mean are:
MSH = {|34-30|, |34-30|, |30-30|, |30-30|, |30-30|, |28-30|, |28-30|, |26-30|}
= {4, 4, 0, 0, 0, 2, 2, 4}

RM = {|40-36|, |38-36|, |36-36|, |36-36|, |36-36|, |36-36|, |34-36|, |32-36|}
 = {4, 2, 0, 0, 0, 0, 2, 4}

Therefore,
MAD(MSH) = (4 + 4 + 0 + 0 + 0 + 2 + 2 + 4) ÷ 8
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MAD(RM) = (4 + 2 + 0 + 0 + 0 + 0 + 2 + 4) ÷ 8
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r(RM) = 36 ÷ 1.5 = 24

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