The head of maintance at xyz rent a car believes that the mean number of miles between services is 4959 miles, with a standard deviation of 448 miles. what is the probability that the mean of a sample of 43 cars would be less than 5018 miles?
Answer
Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal?
Solution
Jaime’s goal is to average at least 280 miles per week for 4 weeks. If T is the total number of miles Jamie will bicycle for 4 weeks, then his goal can be represented symbolically by the inequality:T⁄4, or equivalently T ≥ 4(280). The total number of miles Jamie will bicycle during this time is the sum of the distances he has completed and has yet to complete. Thus T = 240 + 310 + 320 + x. Substituting this expression into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.
Choices A, B, and C are incorrect because they do not correctly capture the relationships between the total number of miles Jaime will ride his bicycle (240 + 310 + 320 + x) and the minimum number of miles he is attempting to bicycle for the four weeks (280 + 280 + 280 + 280).
Answer:Solving the quadratic equation, the coordinates of the roots are: (-1,0) and (-3,0)
The quadratic equation given is:
Which has coefficients .
Now, we find the solutions:
The coordinates of the roots are and , as a root is a value of x when y = 0, thus, in the problem, (-1,0) and (-3,0).
A similar problem is given at brainly.com/question/13729358
Explanation:
