we have
6x+3y=12 -----> line p
Find the slope
3y=-6x+12
y=-2x+4
m=-2
-4x=2y-2 -----> line Q
2y=-4x+2
y=-2x+1
m=-2
therefore
the lines are parallel because their slopes are equal
Answer:
$148.50.
Step-by-step explanation:
Hourly wage for time and a half = 11 * 1.5
=$16.50
For 9 hours she earns 16.50 * 9
= $148.50.
Answer:
The equation of the line would be y = 4/9x
Step-by-step explanation:
In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (9 - 0)/(4 - 0)
m = 9/4
Now that we have this, we can use point-slope form along with one of the points to get the equation.
y - y1 = m(x -x1)
y - 0 = 4/9(x - 0)
y = 4/9x
Answer:
For the 99th percentile, we have X = 206 seconds.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

99th percentile:
Value of X when Z has a pvalue of 0.99. So we use 




For the 99th percentile, we have X = 206 seconds.