Answer:
: The average time postal employees have worked for the postal service is 7 years.
: The average time postal employees have worked for the postal service is not 7 years.
Step-by-step explanation:
We need to know the significance level to decide if the average time worked for the postal service has changed according to the the random sample of 100 postal employees working time.
Aur hypothesis would use two tailed critical region, sice the hypothesis is an equality.
Hi there!
Th' Eqn. is :-
4 (x - 3) = 2 (3x + 1)
=> 4x - 12 = 2 (3x + 1)
=> 4x - 12 = 6x + 2
Combine th' like terms :-
=> 4x - 6x = 2 + 12
=> - 2x = 14
=> x =
![\dfrac {- 14}{2}](https://tex.z-dn.net/?f=%5Cdfrac%20%7B-%2014%7D%7B2%7D)
=> x = - 7
Hence, The required answer is : x = - 7
~ Hope it helps!
Answer:
x = ±i8/7
Step-by-step explanation:
49x^2 +64 = 0
Subtract 64 from each side
49x^2 +64-64 = 0-64
49x^2 = -64
Divide by 49
49x^2/49 =-64 /49
x^2 = - 64/ 49
Take the square root of each side
sqrt(x^2) = ±sqrt(- 64/ 49)
x = ±sqrt(- 64/ 49)
We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)
x = ±sqrt(- 1) sqrt(64)/( 49)
We know that the sqrt(-1) = i
x = ±i8/7
Answer:
Therefore, ( 1 , 1 ) is the Solution to the Given Equations
Step-by-step explanation:
Given:
..............Equation ( 1 )
..............Equation ( 2 )
To Find:
x = ?
y = ?
Solution:
..............Equation ( 1 )
..............Equation ( 2 )
Substituting equation 1 in equation 2 we get
![5x-4(2x-1)=1\\applying\ distributive\ property\ we\ get\\5x-8x+4=1\\\\-3x=1-4=-3\\\\x=\frac{-3}{-3}=1\\ \therefore x = 1\\](https://tex.z-dn.net/?f=5x-4%282x-1%29%3D1%5C%5Capplying%5C%20distributive%5C%20property%5C%20we%5C%20get%5C%5C5x-8x%2B4%3D1%5C%5C%5C%5C-3x%3D1-4%3D-3%5C%5C%5C%5Cx%3D%5Cfrac%7B-3%7D%7B-3%7D%3D1%5C%5C%20%5Ctherefore%20x%20%3D%201%5C%5C)
Substituting 'x' in Equation ( 1 ) we get
![y=2\times 1-1\\\\y=1\\\\\therefore y =1\\](https://tex.z-dn.net/?f=y%3D2%5Ctimes%201-1%5C%5C%5C%5Cy%3D1%5C%5C%5C%5C%5Ctherefore%20y%20%3D1%5C%5C)
Therefore, ( 1 , 1 ) is the Solution to the Given Equations
It's a nonlinear because the x and y values are not increasing at the same ratio each time. This would be an example of a linear function:
x l 1 2 3 4 5 6
y l 3 6 9 12 15 18
As x increases by 1, y increases by a multiple of 3