All categories

3 years ago

If SS= 162 from a sample of 15 data, find s^2

Mathematics

1 answer:

Genrish500 [490]3 years ago

8 0

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

$s^2=\frac{SS}{n-1}$

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

$s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57$

You might be interested in

Two solutions of differently concentrations of acid are mixed creating 40 mL of a soul union that is 32% acid one-quarter of the

AleksAgata [21]

Answer: Three quarters (30 ml) is made up of a 36% acid solution.

Step-by-step explanation:

Since we have given that

Total amount of solution = 40 ml

One- quarter of the solution is given by

$\frac{1}{4}\times 40\ ml\\\\=10\ ml$

Three-quarter of the solution is given by

$\frac{3}{4}\times 40\\\\=30\ ml$

According to question, we have

10 ml of solution is made up of = 20% of acid solution

30 ml of solution is made up of = say<em> 'c </em>' of acid solution

40 ml of solution is made up of = 32 % of acid solution

So, our equation becomes,

$10\times 0.2+30\times c=40\times 0.32\\\\2+30c=12.8\\\\30c=12.8-2\\\\30c=10.8\\\\c=\frac{10.8}{30}\\\\c=0.36\\\\c=36\%$

Hence, three quarters (30 ml) is made up of a 36% acid solution.

5 0

3 years ago

Please awnser questions, no links, no I dont know

Mrac [35]

Answer:

330cm

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is 2(lh+hw+lw)

(lh) in this formula is length times height

(hw) is height times width

(lw) is length times width

To find the answer to this problem lets make the height 3/5cm the width 10cm and the length 15cm

so now you would do (15*3/5) which is 9. This solve (lh)

then you would find (3/5*10) which is 6. This solves (hw)

and lastly you would find (15*10) which is 150. This solves (lw)

Now that you now the value of each one of these you replace it in the equation as so: 2(9+6+150)

now you solve the brackets which leaves us with 2(165)

now you multiply 2 with 165

and the answer is 330cm

Surface area = 330cm

3 0

2 years ago

Read 2 more answers

Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat

Fantom [35]

Answer:

Step-by-step explanation:

6 times 5 is 30. You would've divided 30 by 5

7 0

2 years ago

Read 2 more answers

The ratio of the number of cars to the number of motorcycles in a parking lot is 10 : 3. The ratio of the number of motorcycles

Harman [31]

5 because 20:6 is the car to motorcycle. 6:15 is the motorcycle to van. 20÷15=5 ~JZ

3 0

3 years ago

(5a+2)(a+4)=<br> this is supposed to be a polynomial in standard form

Shkiper50 [21]

Answer:

5a²+22a+8

Step-by-step explanation:

(5a×a)+(5a×4)+(2×a)+(2×4)

=5a²+20a+2a+8

=5a²+22a+8

7 0

2 years ago