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Whitepunk [10]
3 years ago
12

Sandals are on sale for 30% off. The original price of one pair of sandals is $15. What is the total cost, in dollars, of two pa

irs of sandals at the sale price and including 7% sales tax?
Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

$4.82

Step-by-step explanation:

30% of 15 = 4.5

7% of 4.5 = 0.315

4.5+0.315 = $4.815 approx $4.82

Please mark me brainliest

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Leokris [45]

Just as you would do it with any other number.

Write out some of it, then move the decimal point 3 places this way <=== .

Some of pi :                   3.14159 

Divide by 1,000 :     0.00314159

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Is 4/8 bigger or smaller than 1/2
jeka94
There are the same because 4/8 is rudeced to 1/2
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The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

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

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
3 years ago
What is the axis of symmetry of y =(x - 1)2 + 3
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The axis of symetry, or A.o.S, intersects a parabola at its vertex. The answer is x=1
4 0
3 years ago
30 POINTS!! WILL VOTE BRAINIEST
Alex787 [66]
Part A:

Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:

-3 - (-11) = -3 + 11 = 8.

Thus, the value of the output increases by 8 units for each one unit increase in the input.



Part B:

Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:

21 - 5 = 16.

Thus, the value of the output increases by 16 units for each two units increase in the input.



Part C:

Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:

53 - 29 = 24.

Thus, the value of the output increases by 24 units for each three units increase in the input.



Part D:

It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.

i.e 8 / 1 = 16 / 2 = 24 / 3.
7 0
3 years ago
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