All categories

3 years ago

Compute the standard deviation for the set of data. 2, 4, 6, 8, 10

2 answers:

6 0

$\sigma$ - standard deviation
m - mean
$\sigma= \sqrt{ \frac{1}{n} \sum_{i=1}^{n} (x_i-m)^2} 
\\m= \frac{2+4+6+8+10}{5}= \frac{30}{5} =6 \\ \\ \sigma= \sqrt{ \frac{1}{5} \sum_{i=1}^{5} (x_i-6)^2} 
\\= \sqrt{ \frac{1}{5} [ (2-6)^2+(4-6)^2+(6-6)^2+(8-6)^2+(10-6)^2]} 
\\= \sqrt{ \frac{1}{5} [ 16+4+0+4+16]} 
\\= \sqrt{ \frac{1}{5} \times 40} 
\\= \sqrt{ \frac{1}{5} \times 40} 
\\=2\sqrt{2}$

balu736 [363]3 years ago

4 0

6 is the correct anwser

You might be interested in

A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage

svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of 700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We calculate the acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2 where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a = 75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0

3 years ago

If you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is d

tatuchka [14]

Scientifically, the answer should be C

6 0

3 years ago

Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t

konstantin123 [22]

Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.

Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.

7 0

3 years ago

What is the fraction twelve twentieths in its simplest form

Alla [95]

You mean $\frac{12}{20}$ or $\frac{20}{12}$ ?

If you had meant, $\frac{12}{20}$ , then the simplest form of this fraction would be - $\frac{3}{5}$

Divide both parts of the fraction by 4, and you get $\frac{3}{5}$ the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - $\frac{20}{12}$
Flop the simplest form of the previous fraction, that's $\frac{5}{3}$

If you had meant $\frac{20}{12}$ , then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - $\frac{3}{5}$ or $\frac{5}{3}$ . We can't divide it any further. So, we know that it is in its simplest form.

L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
$\frac{12}{20}$ or $\frac{20}{12}$

1) Divided by 2 = $\frac{6}{10}$ or $\frac{10}{6}$

2) Next, also by 2 = $\frac{3}{5}$ or $\frac{5}{3}$

That took much longer, right. So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.

3 0

3 years ago

Read 2 more answers

Ello awnser this what is 1 area x 649= ??? write in te awnser box

soldier1979 [14.2K]

Answer:

Well I believe 1 x 649 equals 649 units as the area...

I tried my best! Hope this helps you!

6 0

3 years ago