Answer:
x = 10
y = 3
Step-by-step explanation:
Given
2x - 6y = 2
x + 6y = 28
Add both equations
2x + x -6y + 6y = 2 + 28
3x = 30
Divide both sides by 3
x = 30/3
x = 10
Substitute 10 for x in either equations to get y
Using equation 2 , we have
x + 6y = 28
10 + 6y = 28
Subtract 10 from both sides
10 - 10 + 6y = 28 - 10
6y = 18
Divide both sides by by 6
y = 18/6
y = 3
Therefore
x = 10
y = 3
Answer:
Step-by-step explanation:
From the information given,
Number of personnel sampled, n = 85
Mean or average = 6.5
Standard deviation of the sample = 1.7
We want to determine the confidence interval for the mean number of years that personnel spent in a particular job before being promoted.
For a 95% confidence interval, the confidence level is 1.96. This is the z value and it is determined from the normal distribution table. We will apply the following formula to determine the confidence interval.
z×standard deviation/√n
= 1.96 × 6.5/√85
= 1.38
The confidence interval for the mean number of years spent before promotion is
The lower end of the interval is 6.5 - 1.38 = 5.12 years
The upper end is 6.5 + 1.38 = 7.88 years
Therefore, with 95% confidence interval, the mean number of years spent before being promoted is between 5.12 years and 7.88 years
The answer is 405,076 meters.
Answer:
The distance between point M and point L is 8
Step-by-step explanation:
The given points on the coordinate are M = (- 2, 4) and L = (4, - 1)
The formula for determining the distance between two points is expressed as
d = √(x2 - x1)^2 + (y2 - y1)^2
Where
y2 = final value of y = - 1
y1 = initial value of y = 4
x2 = final value of x = 4
x1 = initial value of x = - 2
Therefore,
d = √(4 - - 2)^2 + (- 1 - 4)^2
d = √6^2 + (-5)^2
d = √36 + 25
d = √61 = 8
