You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)
Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required
The question requires that we calculate the theoretical probability of landing on the head.
This means that, we have to ignore the given data, and we use the following
--- sample space
--- sample size
--- occurrence of Head
So, the theoretical probability is:
C) The mean Value is closer to the middle of the range than the Median
Hope this helped!
That would be week 2 and 4 (B). They are both at 12 students attending
Hope this helped!
Answer:
The student will have 130 dollars in the bank at the end of week 11.
Step-by-step explanation:
Pattern:
The pattern given by this graphic is that:
For each passing week, the student will have $10 more in the bank than at the end of the previous week. So, following this pattern:
At the end of 6 weeks, he will have $80.
At the end of 7 weeks, he will have $90.
At the end of 8 weeks, he will have $100.
At the end of 9 weeks, he will have $110.
At the end of 10 weeks, he will have $120.
At the end of 11 weeks, he will have $130.
The student will have 130 dollars in the bank at the end of week 11.
