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3 years ago

Which expression represents the sum of 8 and twice a number?

1 answer:

8 0

All of these answers are wrong? The sum of 8 and twice a number would be 8 + 2n. If it was twice the sum of 8 and a number it would be D. None of them are correct but D is technicllay the closest?

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The base of a triangle is 9 inches more than 3 times the height. if the area of the triangle is 105 square inches, find the base

wolverine [178]

So to solve you need to set up equations, Using h as the height. So the base is 9 inches more (+9) than 3 times the height (3h) so 3h+9 equals the base. You have the area so you need to plug in the equation for the base and h for height and divide it all by 2. h(3h+9)/2=105. after you solve that and get h by itself you should get h= 7 and the b= 30

4 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

What variable stands for the constant in this equation? y = kx

jeka94

Answer: constant of proportionality - the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

6 0

3 years ago

Read 2 more answers

Central sub made 27 sandwiches useing 12 pounds of turkey how much turkey per sandwich?

zhannawk [14.2K]

12 pounds divided up between 27 sandwiches is 0.44 pounds for each sandwich. 12/27=0.44

7 0

3 years ago

How many different outfits can be made from 4 shirts, 4 pairs of pants, 2 pairs of shoes, and 3 hats

DiKsa [7]

Answer:

Step-by-step explanation: