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3 years ago

Write down the next term in this sequence -1 2 7 14 23

1 answer:

6 0

The next sequence would be 34, 47, 62... It's basically going up by odd numbers. First you add by 3, then 5, then 7, and it continues going up. I hope this helps!

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Half a number is at least 2 units from 20. write the sentence as an absolute value inequality

Anuta_ua [19.1K]

Answer:

|1/2x - 20| ≥ 2

Step-by-step explanation:

The number is half of two and at least two units away.

8 0

3 years ago

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There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?

Alex787 [66]

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

7 0

3 years ago

What is -5xy and 8yx combined

BlackZzzverrR [31]

Answer:

3xy

Step-by-step explanation:

4 0

3 years ago

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Please help me with this question

USPshnik [31]

B is your answer I think

5 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:

∑x=109, ∑x²=4173, ∑y=87, ∑y²=2083.

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.

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.

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

∑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.

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.

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.

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

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

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