x = All real numbers or 0.
First you should distribute both sides of the equation. This gives you 42x+42=42x+42.
Then, subtract 42 from both sides. This gives you 42x=42x.
Now, divide 42 on both sides. This gives you x=0 or all real numbers.
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20
<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.
Part 1:
The minimum value of the data is 4.
Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9
1st quartile = (4+9)÷2
= 13÷2
= 6.5
Part 3:
Median of the data is;
Median = (9+18)÷2
=27÷2
= 13.5
Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.
3rd quartile = (18+20)÷2
= 48÷2
= 19
Part 5
The maximum of the set of data is 20.
Answer: F=6.67 x 10^21
G:6.67 x 10^ -11 N m2/kg2
Answer:
It is given that the volume of a cone = cubic units
Volume of cone with radius 'r' and height 'h' =
Equating the given volumes, we get
×
It is given that the height is 'x' units.
Therefore,
Therefore,
So, the expression '' represents the radius of the cone's base in units.
Remark
The proof is only true if m and n are equal. Make it more general.
m = 2k
n = 2v
m + n = 2k + 2v = 2(k + v).
k and v can be equal but many times they are not. From that simple equation you cannot do anything for sure but divide by 2.
There are 4 combinations
m is divisible by 4 and n is not. The result will not be divisible by 4.
m is not divisible by 4 but n is. The result will not be divisible by 4.
But are divisible by 4 then the sum will be as well. Here's the really odd result
If both are even and not divisible by 4 then their sum is divisible by 4