Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
Read and understand given problem situations.
Develop and use the strategy: Draw a diagram.
Plan and complete alternative approaches to solving problems.
Solve real-world problems using selected strategies as part of a plan.
The answer is the option d, which is: d) 
The explanation for this problem is shown below:
1. Smplify the denominator and rewrite the numerator in this form:
2. Multiply the denominator and the numerator by the conjugated 
and simplify the expression, as following:
3. As you can see, you obtain the expression shown in the option mentioned above.
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer:
200
Step-by-step explanation:
