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3 years ago

What is the volume of the composite figure

Mathematics

1 answer:

Inessa05 [86]3 years ago

3 0

Step-by-step explanation:

Volume of cubic = v1+v2

V1=hight * side *width

=5*12*3

=180in

V2= hight *side * width

=192 in

So v1+ v2 equal

372 in3

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Write the ratio 28 inches to 5 feet as a fraction in simplest form

Schach [20]

5 feet is 5*12=60 inches. Therefore, our ratio is 28:60. Dividing both terms by 4, we see that the most simple ratio is 7:15.

6 0

3 years ago

Sasha is collecting cans to recycle.When she collected 180 cans she knew she haad reached 60% of her goal How many more cabs doe

Arturiano [62]

It would be 60 because 180 minus 60 is 60

8 0

3 years ago

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

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

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

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

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0

3 years ago

F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.

Zina [86]

Answer:

Step-by-step explanation:

hello :

Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6 means : x-2 =√6 or x-2 = -√6

x = 2+√6 or x = 2-√6

4 0

3 years ago

Solve <br> 4x+6<-6<br><br> I could really use the help

aleksandr82 [10.1K]

Answer:

x < -3

Step-by-step explanation:

First subtract 6 from both sides of the inequality.

$4x+6-6$

$4x$

Divide 4 on both sides.

$\frac{4x}{4} < \frac{-12}{4}$

$x$

5 0

3 years ago