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Anvisha [2.4K]
3 years ago
6

The mean of a data set of 6 numbers is 8. The mean of a different data set of 6 numbers is 20. Whats the mean of the combined da

ta sets?​
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

HERE IS YOUR ANSWER HOOMAN:

8

STEP BY STEP EXPLANATION FAM:

We have a set of four numbers and the mean is 5. We can see that the sum of the values is 20:

\frac{20}{4}=5

We have another set of three numbers whose mean is 12. We can write that as:

\frac{36}{3}=12

To find the mean of the seven numbers together, we can add the values together and divide by 7:

\frac{20+36}{7}=\frac{56}{7}=8

HOPE DIS HELPED FAM  

w(゚Д゚)w

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Does 10,15,20 form a right triangle
sveta [45]
A right triangle can only be formed when you use the 3/4/5 rule.
The 3/4/5 rule is a^2 + b^2 = c^2.

We will use 10 for a, 15 for b, and 20 for c.

a^2 + b^2 = c^2

Plug in 10 for a, 15 for b, and 20 for c.

10^2 + 15^2 = 20^2

10^2 = 100

15^2 = 225

20^2 = 400

100 + 225 = 400
This is not applicable, as 100 + 225 = 325.

Your answer is:

No, 10,15,20 does not form a right triangle.

I hope this helps!
5 0
3 years ago
WILL MARK BRAINLIEST
Levart [38]

Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

2·x + y = 3...(1)

x = 2·y - 1...(2)

The above system of equations can be written in terms of the variable, y, as follows;

For equation (1), we have;

y = 3 - 2·x

For equation (2), we have;

y = (x + 1)/2

From the attached graph created with Microsoft Excel, we have;

The solution set (the point of intersection) of the system of equations is x = 1, y = 1

To accurately find the common solution, we have;

(x + 1)/2 = 3 - 2·x

x + 1 = 2·(3 - 2·x) = 6 - 4·x

x + 1 = 6 - 4·x

x + 4·x = 6 - 1

5·x = 5

x = 5/5 = 1

x = 1

Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution

Part 2:

y = -2x + 3

x - 2y = -1

∴ x = 2y -1

y = -2(2y -1) + 3

y = -4y + 2 + 3

5y = 5

y = 1

x = 2y - 1 = 2 - 1 = 1

x = 1

The solution set is x = 1, y = 1

Part 3

The system of equations are similar in terms of their solution

The system of equations are different in terms of their arrangement

6 0
2 years ago
EMERGENCY <br> Triangles ABC and DEF are similar. Find the length of the segments EF and DF
Gala2k [10]

Answer:

EF = 1.5. DF = 2.

Step-by-step explanation:

DE is half of AB so EF is half of BC and DF is half of AC.

7 0
2 years ago
List of things in your house that are spheres and cubes
olga55 [171]
Cubes: Washer/Dryer, Spheres: Bath Bomb
8 0
3 years ago
1. An outdoor art is a metal cube with edge length 39 feet. What is the volume of the cube in feet? In cubic yard? ( Can someone
Law Incorporation [45]
The volume of a cube is just the side length cubed...

V=s^3  in this case:

V=39^3=59319 ft^3  

and in cubic yards it is:

59319 ft^3*(yd^3/27 ft^3)=2197 yd^3
5 0
3 years ago
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