Using the relation between standard deviation and variance it is concluded that the standard deviation for the population for the given variance is 7.1
<h3>What is the relation between standard deviation and sample variance? </h3>
In statistics, the two most crucial metrics are variance and standard deviation. While the variance is a measurement of how data points vary from the mean, standard deviation is a measure of the distribution of statistical data.
The square root of the variance yields the standard deviation, i.e.
Standard deviation = 
Given that sample, the variance is 49.7 and we have to calculate the standard deviation.
Standard deviation (σ) =
= 
= 7.0498
=7.1
Hence, the standard deviation for the population for the given variance is 7.1
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Answer:
The quantity of ground meat he use for hamburgers is 2
pounds
Step-by-step explanation:
Given as :
The total quantity of ground meat bought to make hamburgers = 2 
Or, The total quantity of ground meat bought to make hamburgers =
pound
The quantity of ground meat left after use =
pound
Now, let The quantity of ground meat used for hamburgers = x pound
So, x = The total quantity of ground meat bought - The quantity of ground meat left
Or, x =
pound -
pound
Or, x =
pound
I.e x =
∴ x = 2
pounds
Hence The quantity of ground meat he use for hamburgers is 2
pounds . Answer
I count 4 green stars and 6 red stars
ratio of green to red would be
4 green : 6 red
4:6
if you divide both numbers by 2, cause theyre both even
2:3
Answer:

Step-by-step explanation:
first thing I assume by f~¹ you meant
however
we want to find <u>a²</u><u>+</u><u>3</u><u>x</u><u>-</u><u>3</u><u> </u>for the given condition. with the composite function condition we can do so
<u>Finding</u><u> the</u><u> </u><u>inverse</u><u> of</u><u> </u><u>f(</u><u>x)</u><u>:</u>

substitute y for f(x):

interchange:

square both sides:

cancel 1 from both sides:

divide both sides by a:

substitute f^-1 for y:

<u>finding</u><u> the</u><u> </u><u>inverse</u><u> of</u><u> </u><u>g(</u><u>x)</u><u>:</u>

substitute y for g(x)

interchange:

cross multiplication

cancel 1 from both sides

factor out y:

divide both sides by 1-x:

substitute g^-1 for y:

remember that

therefore we obtain:

since (f~¹•g~¹)(3)=-⅜ thus substitute:

simplify parentheses:

simplify square:

simplify substraction:

simplify complex fraction:

get rid of - sign:

divide both sides by 3:

cross multiplication:

divide both sides by 4:

as we want to find <u>a²</u><u>+</u><u>3</u><u>a</u><u>-</u><u>3</u><u> </u>substitute the got value of a:

simplify square:

simplify multiplication:

simplify addition:

simplify substraction:

and we are done!