Answer:
zq+u =x
Step-by-step explanation:
z=(x-u)/q
Multiply each side by q
zq = (x-u)/q *q
zq = x-u
Add u to each side
zq+u = x-u+u
zq+u =x
Answer:
first: 1/3
second: 1
third: 1/2
Step-by-step explanation:
Answer:
In exercises 3 and 4,write an equation of the line that passes through the given point and is parallel to the given line. 3. (1,3); y=2x-5 4. (-2,1); y= -4x+3 *In exercises 5 and 6, determine which of the lines,if any, are parallel or perpendicular. Explain! 5. line a passes through (-2,3) and (1,-1). Line b passes through (-3,1) and (1,4). Line c passes through (0,2) and (3,-2). 6. Line a: y= -4x +7 Line b: x= 4y+2 Line c: -4y+x=3 *In exercises 7 and 8, write an equation of the line that passes through the given point and is perpendicular to the given line. 7. (2,-3); y= 1/3x -5 8.(6,1); y= -3/5x-5 * In exercises 11-13, determine whether the statement is sometimes,always, or never true. Explain your reasoning! 11. A line with a positive slope and a line with a negative slope are parallel. 12. A vertical line is perpendicular to the x-axis. 13. two lines with the same x-intercept are perpendicular.
Step-by-step explanation:
Answer:
There is evidence to prove that mean is less than 60 hours.
Step-by-step explanation:
Given that the mean work week for engineers in a start-up company is believed to be about 60 hours.
Sample size taken = 10
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(left tailed test )
Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55.
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Mean difference = -3
Test statistic t =mean differene/std error
= -20.72
p value <0.00001
Since p < 0.05 at 5% level we reject H0
There is evidence to prove that mean is less than 60 hours.