Automobile Repair Costs Continue to Rise With the Average Cost Now at 367 Per Repair

Automobile repair costs continue to rise with the average cost now at $367 per repair (u. s. news & world report website, january 5, 2015). assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. answer the following ques- tions about the cost of automobile repairs. a. what is the probability that the cost will be more than $450? b. what is the probability that the cost will be less than $250? c. what is the probability that the cost will be between $250 and $450? d. if the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?

Answers

Answer from: Anonymous

Using the normal distribution, we have that:a) There is a 0.8264 - 82.64% probability that the cost will be more than $450.b) There is a 0.0918 = 9.18% probability that the cost will be less than $250.c) There is a 0.7346 = 73.46% probability that the cost will be between $250 and $450.d) The cost will be of at most $222.In a normal distribution with mean and standard deviation , the z-score of a measure X is given by: It 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, which is the percentile of X.  In this problem:Mean of $367, thus Standard deviation of $88, thus .Item a:This probability is 1 subtracted by the p-value of Z when X = 450, so: has a p-value of 0.8264.0.8264 - 82.64% probability that the cost will be more than $450.Item b:This probability is the p-value of Z when X = 250, so: has a p-value of 0.0918.0.0918 = 9.18% probability that the cost will be less than $250.Item c:This probability is the p-value of Z when X = 450 subtracted by the p-value of Z when X = 250, so:0.8264 - 0.0918 = 0.7346.0.7346 = 73.46% probability that the cost will be between $250 and $450.Item d:The cost is of at most the 5th percentile, which is X when Z has a p-value of 0.05, so X when Z = -1.645.The cost will be of at most $222.A similar problem is given at link

Answer from: Anonymous

a. What is the probability that the cost will be more than $450?We are supposed to find P(x > 450)Formula : Refer the z table :P(z<0.9431)=0.8264P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736Hence the probability that the cost will be more than $450 is 0.1736b)What is the probability that the cost will be less than $250?We are supposed to find P(x<250)Formula : Refer the z table :P(z<-1.3295)=0.0934Hence the probability that the cost will be less than $250 is 0.0934c)What is the probability that the cost will be between $250 and $450?P(250

Answer from: Quest

For you to graph each system, you need to always get y by itself. If there is 2y , then divide both sides by 2 , etc.For x+y=6 , you would subtract x so that it equals:y=−x+6 For the other one: x−y=4 add y to both sides and then subtract 4 to get: x−4=y. which is also: y=x−4 To determine the possible solutions, I am uncertain if you mean where they intersect or possible solutions for x and y for each equation individually. If you need to calculate the point of intersection, set them equal to each other: y=y , therefore: x−4=−x+6 , 2x=10 x=5 y=1 Or you can draw the graphs by plotting points and find where the lines intersect

Answer from: Quest

you a real one for tat answer step-by-step explanation:

Answer from: Quest

answer: 5000step-by-step explanation:

Answer from: Quest

PART 1:AYes, Lisa will get the same solution no matter what method she applies. The reason is that we have been given 2 equations. As these are linear equations, both of the equations represent 2 different lines having different slopes. The solution of two different lines is taken as the point of intersection of both lines, because that is the only point that lies on both lines. This point will always remain the same for two particular lines. So whatever method Lisa applies, the point of intersection will always remain the same i.e (5,1)BYes, the answer to A will change if the systems of equation has no solution. If system of equations have no solution, it means the both lines never intersect, which happens for parallel line. Hence, there is no point of intersection.Yes, the answer to A will change if the systems of equation has infinite many solution. It means that both lines intersect at every point of each line, which happens when both lines overlap each other. Hence, the point of intersection, which represents the solution, is every point of both lines.PART 2:The graph of both equations is given below.The solution is the point of intersection of both lineAs both lines intersect a x = 2 and y = 8.Solution: (2,8)

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Automobile repair costs continue to rise with the average cost now at $367 per repair (u. s. news & world report website, january 5, 2015). assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. answer the following ques- tions about the cost of automobile repairs. a. what is the probability that the cost will be more than $450? b. what is the probability that the cost will be less than $250? c. what is the probability that the cost will be between $250 and $450? d. if the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?

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