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3 years ago

If a bicycle cost $70.50 but it's on sale for 47% off how much is the discount what is the sale price

1 answer:

7 0

first multiply the two terms together to find out how much money is being discounted

$70.50 x .47 = 33.135

now subtract that number from $70.50

$70.50 - 33.135 = $37.37

ANSWER: the discount is $33.14 & the sale price is $37.37

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Use pythagorean theorem;

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The heights, in inches, of the starting five players on a college basketball team are 6868, 7373, 7777, 7575, and 8484. Co

LenKa [72]

Answer:

The sample standard deviation of 5.95.9 inches differs from the population standard deviation of 5.25.2 inches because of their formulas for calculating it.

Step-by-step explanation:

We are given the heights, in inches, of the starting five players on a college basketball team ;

68, 73, 77, 75 and 84

Now whether we treat this data as sample data or population data, the mean height would remain same in both case because the formula for calculating mean is given by ;

Mean = Sum of all data values ÷ No. of observations

Mean = ( 68 + 73 + 77 + 75 + 84 ) ÷ 5 = 75.4 inches

So, numerically, the sample mean of 75.4 inches is the same as the population mean.

Now, coming to standard deviation there will be difference in both sample and population standard deviation and that difference occurs due to their formulas;

Formula for sample standard deviation = $\frac{\sum (X_i - Xbar)^{2} }{n-1}$

where, $X_i$ = each data value

X bar = Mean of data

n = no. of observations

Sample standard deviation = $\frac{ (68 - 75.4)^{2} +(73 - 75.4)^{2}+(77- 75.4)^{2}+(75- 75.4)^{2}+(84 - 75.4)^{2} }{5-1}$

= 5.9 inches

Whereas, Population standard deviation = $\frac{\sum (X_i - Xbar)^{2} }{n}$

= $\frac{ (68 - 75.4)^{2} +(73 - 75.4)^{2}+(77- 75.4)^{2}+(75- 75.4)^{2}+(84 - 75.4)^{2} }{5}$ = 5.2 inches .

So, that's why sample standard deviation of 5.95.9 inches differs from the population standard deviation of 5.25.2 inches only because of formula.

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3 years ago