What is the value of 9,000 in decimals

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

Students at a middle school were surveyed on how they get to school. Out of 230 students, 10% said they ride their bikes to scho

Shalnov [3]

Answer:

10% is equivalent to the unit fraction 1/10.

To find 10% of 230, divide 230 by 10.

10% of 230 is 23.

7 0

3 years ago

Read 2 more answers

According to the rational root theron what are all the potential roots of f(x)=9x^4-2x^2-3x+4

Viefleur [7K]

Answer:

Potential roots: $\frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1$

Step-by-step explanation:

Simply put, the rational roots theorem tells us that if there are any rational roots of a polynomial function, they must be in the form

± $\frac{FactorsOfa_{0}}{FactorsOfa_n}$

Where

a_n is the number before the highest power of the polynomial, and

a_0 is the constant in the polynomial

From the polynomial shown, we have a_n = 9 and a_0 = 4

The factors of 9 are 9, 3, 1

and

The factors of 4 are 4,2,1

So, if there are any rational roots, they would be:

± $\frac{FactorsOfa_{0}}{FactorsOfa_n}$

± $\frac{9,3,1}{4,2,1}$

Which is ± 9/4, 9/2, 9/1, 3/4, 3/2, 3/1, 1/4, 1/2, 1/1

or

$\frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1$

5 0

3 years ago

I can find a simplified expression for the perimeter of a square with a side length of (2x-4)

ELEN [110]

perimeter = 8x - 16

A square has 4 sides of equal length, multiply length of side by 4

perimeter = 4(2x - 4) = 8x - 16

4 0

4 years ago

How much milk is used for each slice of bread? using comparison statement

SashulF [63]

You need to write the milk and the bread number or some things we know I not trying to be mean. Do you mean how much I used for each slice of bread is I filled my milk 1/2 full and used 1/4 of the bread because my bread is the long kinds and each slice I just put it in my milk and spoon it up with my spoon and that all some times I don't know how much I used because I need to hurry.

3 0

3 years ago