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3 years ago

If the price of a textbook is $40 before tax is added on, and tax is 10%, what will the final price of the textbook be?

Mathematics

1 answer:

Digiron [165]3 years ago

4 0

Answer:

soln,

price of textbook = $40

tax% = 10%

now,

tax amount = 10% of $40

= 10\100*40

= 10*4/10

= 40/10

= $4.

again,

final price = cost of textbook+tax

=$40+$4

=$44.

Step-by-step explanation:

so the total price of a Textbook is $40 which is 100% and the tax is 10% so you need to find tax from the price of the textbook which is 10% of the price of the textbook then add the price of the textbook with the tax amount which is the final cost .

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The lengths (in inches) of a sample of snakes in the Clarmont Zoo's reptile house are as follows: 9, 15, 86, 13, 16, 101, 85, 10

elena-14-01-66 [18.8K]

Answer:

A higher value of standard deviation tells us that there is high variability in the length of the snake from the mean length of the snake.

Step-by-step explanation:

We are given the following information in the question:

Sample of snakes in the Clarmont Zoo's reptile house are as follows:

9, 15, 86, 13, 16, 101, 85, 10, 14, 16, 102

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{467}{11} = 42.4545$

Sum of squares of differences = 1119.206611 + 753.7520659 + 1896.206612 + 867.5702477 + 699.842975 + 3427.570248 + 1810.115703 + 1053.29752 + 809.6611568 + 699.842975 + 3545.661158 = 16682.72727

$S.D = \sqrt{\frac{16682.72727}{10}} = 40.8445$

Standard deviation:

Standard deviation tells you how spread out the data is.
It is a measure of how far each observed value is from the mean.
A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

A higher value of standard deviation tells us that there is high variability in the length of the snake from the mean length of the snake. The data is overspread over a wide range.

6 0

3 years ago

Find the product of (2x − 3)(2x2 7x − 1). 4x3 − 6x2 − 9x 3 4x3 8x2 − 23x 3 4x3 20x2 − 9x 3 4x3 − 6x2 − 23x 3.

wlad13 [49]

Product of polynomials can be done by distribution of multiplication over addition. The product of $(2x - 3)(2x^2 + 7x - 1)$ is $4x^3 + 8x^2 -23x + 3$

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

$(2x - 3)(2x^2 + 7x - 1) = 2x(2x^2 + 7x - 1) -3(2x^2 + 7x - 1) \\(2x - 3)(2x^2 + 7x - 1) = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + 8x^2 -23x + 3$