Answer:
0.5488 = 54.88% probability that there are no defects in the completed highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
The portion of highway that your city is building is 30 miles long.
The mean is one defect per 50 miles. Since the highway is 30 miles, we have that:

What is the probability that there are no (0) defects in the completed highway?
This is P(X = 0). So


0.5488 = 54.88% probability that there are no defects in the completed highway.
The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
Answer:
Triangle ABC is equal and that means all angles are the same
Step-by-step explanation:
Answer:
x must be 0
Step-by-step explanation:
because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0