Answer:
The probability that all will last at least 30,000 miles is 0.3164.
Step-by-step explanation:
Consider the provided information.
For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,
That means the probability of not wearing out is 1-0.25 = 0.75
Now use the binomial distribution formula.
Substitute p = 0.25, q=0.75, r=4 and n=4
The probability that all will last at least 30,000 miles is 0.3164.
<u>ANSWER</u>
The line that is parallel to through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope .
Let be the equation of the line parallel to the line
We can substitute to obtain;
If the line passes through the point ,then this point must satisfy its equation.
We substitute and
to obtain;
We this equation for .
We substitute this value of in to
to get;
.
Hence the equation of the line that is parallel to through
is
.