Answer:
Step-by-step explanation:
4. the algebraic representation of the translation is
x+9 and y -4
because for example point (-3, 9) become ( -3+9= 6, 9-4=5)
5.
7 to the left means -7 on the x coordinate and
6 up means +6 on the y coordinate
( x, y ) after translation is ( x-7, y+6)
(12, 3) becomes (12-7= 5, 3+6=9)
(14, 6) becomes (14-7=7, 6+6=12)
(8, 4) becomes(8-7= 1, 4+6=10)
Answer:
a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:
Where a and b represent the limits of the distribution.
b) 
And the height for this case would be 0.125
Step-by-step explanation:
Part a
For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:
Where a and b represent the limits of the distribution.
Part b
For this case the density function would be given by:
And the height for this case would be 0.125
And 
for other case.
The cumulative distribution function would be given by:
Answer:
its a bit blury
Step-by-step explanation:
do a close up
Answer:
The relation has an undefined slope if the graph line is just vertical.
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
