Answer:
in four (4) ways 4 people can be selected
Dividing the 2 numbers I get 7.3 x 10^-6
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
6, 6, 6, 7, 8, 8, 29
We will calculate the measures of central tendency:
1) Mode - the most occurring element in the data set.
So, Mode = 6
2) Median - the middle value of organised data set
So, Median = 7
3) Mean - the average of all data set
So, Mean = 
So, we can see that Mode and Median are giving the closest value to each other, whereas Mean is giving the farthest value as compared to rest.
Hence, Mean is the least appropriate for describing the given data set.
Thus, Third option is correct.
The symbol "<=" without quotes means "less than or equal to"
-6x + 2y <= 42
-6x + 2y + 6x <= 42 + 6x ... Add 6x to both sides
2y <= 6x + 42
2y/2 <= 6x/2 + 42/2 ... divide every term by 2
y <= 3x + 21
So the answer is choice D
Answer:
2) x = -4; y = 0; z = -2
4) x = 4; y = 2; z = 0
Step-by-step explanation:
2)
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4
Add the 2nd and 3rd equations to eliminate y and z.
-4x = 16
x = -4
Substitute x = -4 in first and second equations.
(-4)(-4) - 5y - z = 18
(-2)(-4) - 5y - 2z = 12
-5y - z = 2
-5y - 2z = 4
Multiply first equation by -1 and add to second equation.
5y + z = -2
(+) -5y - 2z = 4
----------------------
-z = 2
z = -2
Substitute x = -4 and z = -2 in first original equation and solve for y.
-4(-4) - 5y - (-2) = 18
16 - 5y + 2 = 18
-5y = 0
y = 0
Answer: x = -4; y = 0; z = -2
4)
4x + 4y + z = 24
2x - 4y + z = 0
5x - 4y - 5z = 12
Add equations 1 and 3 to eliminate y.
9x - 4z = 36 Eq. 1
Add equations 1 and 2 to eliminate y.
6x + 2z = 24 Eq. 2
Multiply Eq. 2 by 2 and add to Eq. 1.
12x + 4z = 48
(+) 9x - 4z = 36
----------------------------
21x = 84
x = 4
Substitute x = 4 into Eq. 1 to solve for z.
9x - 4z = 36
9(4) - 4z = 36
-4z = 0
z = 0
Substitute x = 4 and z = 0 into the first original equation to solve for y.
4x + 4y + z = 24
4(4) + 4y + 0 = 24
4y = 8
y = 2
Answer: x = 4; y = 2; z = 0
