Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many combination of random samples of 4 students can be selected?
4 from a set of 12. So

495 combinations of 4 students can be selected.
Ok, so if you want to convert 7/8 into a decimal, you just simply divide 7 into 8. Well that should be 0.875 because 7 ÷ 8 = 0.875 Hope that helped!!! :)
Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.
In this question, you're solving for x.
Solve for x:
2(x - 8) + 4x = 6(x - 2) - 4
Distribute the 2 to the variables inside the parenthesis.
2x - 16 + 4x = 6(x - 2) - 4
Distribute the 6 to the variables inside the parenthesis.
2x - 16 + 4x = 6x - 12 - 4
6x - 16 = 6x - 12 - 4
6x - 16 = 6x - 16
Subtract 6x from both sides
-16 = -16
Add 16 to both sides
0 = 0
Answer:
All real numbers and solutions