Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
Next, substitute 11+y for x in the other equation so you get...
2(11+y) +10y=-6
Next distribute the 2 throug the 11 and the y
22+2y+10y=-6
12y=-28
y=-28/12
reduce this fraction to make this easier.
y=-7/3
Now plug in why to either of the equations to find x
x-(-7/3)=11
x+7/3=11
x=11-(7/3)
x=(33/3)-(7/3)
x=26/3
so x = 26/3 and y = -7/3
you can also check to see if this is correct by substituting each of these values into the equations.
Answer:
C. 60
Step-by-step explanation:
x + 10 = 70
Subtract 10 from both sides
x + 10 - 10 = 70 -10
Simplifying
x = 60
Answer:
S = {0,2,3,4}
P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001
Mean = 0.879
Standard Deviation = 1.033
Step-by-step explanation:
Let the number of people having same birth month be = x
The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)
The number of ways of distributing their birthdays = 12⁴
The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)
P(X = 0) =
P(X=0) = 0.573
P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)
P(X=2) =
P(X=2) = 0.401
P(X=3) =
P(x=3) = 0.025
P(X=4) =
P(X=4) = 0.001
Mean,
Standard deviation,
SD = 1.033
Answer:
y = 3x
Step-by-step explanation:
Given
9x - y = - 6x + 4y ( subtract 4y from both sides )
9x - 5y = - 6x ( subtract 9x from both sides )
- 5y = - 15x ( divide both sides by - 5 )
y = 3x