If nothing is known about the shape of the distribution of a quantitative variable, what percentage of data fall within 2 standa

1 product = $65.00
20 products = 65 x 20 = $1300

Sales Tax is 3.5% of $1300 = 0.035 x $1300 = $45.50

Grand total = $1300 + $45.50 = $1345.50

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Response: $1345.50
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Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

  s = ∛V

and the surface area is given by...

  A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

  r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

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Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

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The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

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Total amount = $8.00; 30% of this total is 0.3 * $8.00 = $2.40. There are twenty 5-cent coins in 1 dollar; therefore, the quantity of 5-cent coins in $2.40 is calculated as 2.40 * 20 = 48. Answer: 48.

78 can be expressed as seventy-eight, 78 over 1, and 78/1.
Additionally, it can be represented as 78/100 and 1/78, which are different fractions describing the same number.