How to multiply 523 × 73

1 answer:

4 0

Line them up
3x3= 9, 3x2= 6, 3x5= 15

Add a 0 under the 9, 7x3= 21, leave the 1 and carry the 2, 7x2= 14+2= 16 leave the 6 and carry the 1, 7x5= 35+1= 36

9+0= 9, 6+1= 7, 5+6= 11 leave 1 carry 1, 1+6= 7+1= 8, 0+3= 3

523
x 73
———
1,569
+ 36,610
———
38,179

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The data given below contain the state cigarette taxâ€‹ (in $) for all 20 regions of a country.

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Answer:

(a) $\bar x= 1.583$ -- Population Mean

(b) $s = 1.032$ --- Population standard deviation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

$\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84$

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So, we have:

$\bar x= \frac{31.66}{20}$

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Solving (b): The population standard deviation

This is calculated as:

$s = \sqrt{\frac{\sum( x - \bar x)^2}{n}$

$\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2$