What is the smallest number by which 6400 must be multiplied to make a perfect cube?

Solve each expression.reduce to simplest form of 5/8x4/5

Butoxors [25]

5/8 * 4/5
= 1/8 * 4/1
= 1/4 * 2/1
1/2 * 1/1

Final answer = 1/2

4 0

3 years ago

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How do you graph the equation y=|x|?

Rufina [12.5K]

graph looks like the letter v

2 around x means no matter what value x is y will be positive

plot points would be

(-2,2) (-1,1) (0,0) (1,1) (2,2)

8 0

3 years ago

What is the 5004300 in standard form

Svet_ta [14]

Answer:

In standard form,

5004300. Five Millon four thousand and three hundred.

6 0

3 years ago

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

ryzh [129]

Answer:

a.

∑x=109, ∑x²=4173, ∑y=87, ∑y²=2083.

b.

sample mean for x=10.9.

variance for x=331.66.

standard deviation for x=18.21.

sample mean for y=8.7.

variance for y=147.34.

standard deviation for y=12.14.

c.

75% Chebyshev interval around the mean for x values

-25.52,47.32

75% Chebyshev interval around the mean for y values

-15.58,32.98

The interval shows that Vanguard Balanced index has smaller spread.

d.

coefficient of variation for x=167.06%

coefficient of variation for y=139.54%

Smaller CV means lower risk so, smaller CV is better.

Step-by-step explanation:

Note: ALL ANSWERS ARE ROUNDED TO TWO DECIMAL PLACES

a.

∑x=17+0+17+28+28+27+29−12−12−13=109,

∑x²=17²+0²+17²+28²+28²+27²+29²+(−12)²+(−12)²+(−13)²=4173,

∑y=14−2+27+18+20+11+14−2−3−10=87,

∑y²=14²+(−2)²+(27)²+(18)²+(20)²+(11)²+(14)²(−2)²+(−3)²+(−10)²=2083.

b.

sample mean for x=∑x/n=109/10=10.9.

$variance x=\frac{sum(x-mean )^2}{n-1}$

x-mean

6.10

-10.90

6.10

17.10

16.10

18.10

-22.90

-23.90

sum(x-mean)²=6.10 ²+(-10.90 )²+6.10 ²+17.10² +17.10²+ 16.10² +18.10² +(-22.90 )²+(-22.90 )²+(-23.90 )²=2984.9

$variance x=\frac{2984.9}{9}$

Variance for x=331.66.

standard deviation for x=√variance for x

standard deviation for x=√331.66

standard deviation for x=18.21.

sample mean for y=∑y/n=87/10=8.7.

$variance y=\frac{sum(y-mean )^2}{n-1}$

y-mean

5.30

-10.70

18.30

9.30

11.30

2.30

5.30

-10.70

-11.70

-18.70

sum(y-mean)²=5.30 ²+(-10.70 )²+18.30² +9.30² +11.30² +2.30² +5.30² +(-10.70 )²+(-11.70 )²+(-18.70 )²=1326.1

$variance y=\frac{1326.1}{9}$

variance for y=147.34.

standard deviation for y=√variance for y

standard deviation for y=√147.34

standard deviation for y=12.14.

c.

75% Chebyshev Interval

mean±k standard deviation

We have to find value of k.

$1-\frac{1}{k^{2} } =0.75$

$1-0.75 =\frac{1}{k^{2} }$

$\frac{1}{k^{2} }=0.25$

k²=4

k=2

so, 75% Chebyshev Interval for x

10.9±2*(18.21)

[-25.52,47.32]

75% Chebyshev Interval for y

8.7±2*(12.14)

[-15.58,32.98]

The interval shows that Vanguard Balanced index has smaller spread.

d.

$CV for x=\frac{S.Dx}{meanx} *100$

$CV for x=\frac{18.21}{10.9} *100$

CV for x=167.06%

CV for y

$CV for y=\frac{S.Dy}{meany} *100$

$CV for y=\frac{12.14}{8.7} *100$

Cv for y=139.54%

The smaller CV shows the smaller amount of risk so, smaller CV is better.

4 0

3 years ago

(02.01 MC) A talent show broadcast on television asks viewers to call in to vote for their favorite act. Describe how the design

AveGali [126]

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

5 0

3 years ago

What is the smallest number by which 6400 must be multiplied to make a perfect cube?​

What is the smallest number by which 6400 must be multiplied to make a perfect cube?