A rectangle has a height of x+9 and a width of x^2+2x.

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

The area of the entire rectangle is given by: x^3 + 11x^2 + 18x

Step-by-step explanation:

The calculation of its area is straightforward, we only need to multiply its height times its width:

A = (x + 9)(x^2 + 2x)= x^3 + 2x^2 + 9x^2 +18x = x^3 + 11x^2 + 18x

Therefore the are are of the entire rectangle is given by: x^3 + 11x^2 + 18x

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Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0

Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

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.

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

$Mean =\displaystyle\frac{3.39675}{6} = 0.566125$

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

$S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358$

Thus, the standard deviation for given data is

Option C) 0.2358

7 0

3 years ago

jeff wants to buy a phone card for long distance calls. he can buy a 200-minute card for $10.00 or a 300-minute card for $12.00.

Alenkasestr [34]

200 min / $10.00 = 20 minutes / dollar

300 min / $12.00 = 25 minutes / dollar 

The cost of the 300 minute card is cheaper per minute and a better value. 

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3 0

3 years ago

Read 2 more answers

F(x)=3x-3 g(x) 3x^3+5 Find F(-3) and g(-2)

astra-53 [7]

Answer:

f(-3) = -12

g(-2) = -19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS