The given lines are perpendicular
Step-by-step explanation:
if Two lines are perpendicular then their slopes are
m
Where m₁ is slope of first line and m₂ is the slope of second line.
Since the lines are in slope-point form the standard form is:
where m is the slope
The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5
The slope of second line y= 5/9x + 2/9 is: m₂= 5/9
So, m i.e 
So, The given lines are perpendicular
Keywords: Perpendicular lines, slope
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Answer:
NO i do not think so because you would end with a -4 not positive because a positive times a negative is a negative so (-3,4) is not a solution.
I hope this helps sorry if am wrong
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
2 = -7 + s -->
9 = s
Answer:
95k
Step-by-step explanation:
Given :
15 words or less = 50k
Every word above 15 = additional 3k
The cost of 30 words :
First 15 words = 50 k
Number of additional words = (30 - 15) = 15 words
Cost of every additional word = 3 k
Cost of 15 additional word = 15 * 3 = 45k
Total cost of 30 words :
50k + 45k = 95k
Answer:
252 ; 0.0059 ; 0.0074 ; 0.9926
Step-by-step explanation:
Day shift = 10
Swing shift = 8
Graveyard shift = 6
Total number of workers = 24
A.) Number of selections resulting in 5 workers coming from day shift :
10C5 = 10! ÷ (10-5)!5!
= (10*9*8*7*6) / (5*4*3*2*1)
= 252
B.) All 5 workers coming from day shift :
Required outcome = 10C5
Total possible outcomes = 24C5
10C5 ÷ 24C5
252 ÷ 42504
= 0.0059288
= 0.0059
C.) 5 selected workers are from the same shift :
[day shift + swing shift + graveyard shift] / total possible outcomes
[(10C5) + (8C5) + (6C5)] ÷ 24C5
(252 + 56 + 6) / 42504
= 0.0074
D.) What is the probability that at least two different shifts will be represented among the selected workers?
1 - [[(10C5) + (8C5) + (6C5)] ÷ 24C5]
1 - 0.0073875
= 0.9926124
= 0.9926
