Mathematics, 30.05.2020 20:04 ryleerose255

The mean finish time for a yearly amateur auto race was 185.53 minutes with a standard deviation of 0.339 minute. The winning car, driven by Terry, finished in 185.04 minutes. The previous year's race had a mean finishing time of 111.6 with a standard deviation of 0.104 minute. The winning car that year, driven by Jane, finished in 111.38 minutes. Find their respective z-scores. Who had the more convincing victory? Terry had a finish time with a z-score of nothing. Jane had a finish time with a z-score of nothing. (Round to two decimal places as needed.)

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Answer from: scoutrussel4life

Terry had a finish time with a z-score of -1.45.

Jane had a finish time with a z-score of -2.12. Due to the lower z-score, Jane had the more convincing win.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever's z-score was lower, that is, took less time to complete the race compared to their competitors, had the more convincing win.

Terry:

The mean finish time for a yearly amateur auto race was 185.53 minutes with a standard deviation of 0.339 minute. The winning car, driven by Terry, finished in 185.04 minutes.

This means that $\mu = 185.53, \sigma = 0.339, X = 185.04$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{185.04 - 185.53}{0.339}$

Z = -1.45

Terry had a finish time with a z-score of -1.45.

Jane:

The previous year's race had a mean finishing time of 111.6 with a standard deviation of 0.104 minute. The winning car that year, driven by Jane, finished in 111.38 minutes.

This means that $\mu = 111.6, \sigma = 0.104, X = 111.38$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{111.38 - 111.6}{0.104}$

Z = -2.12

Jane had a finish time with a z-score of -2.12. Due to the lower z-score, Jane had the more convincing win.

Answer from: Quest

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

Answer from: Quest

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

30 points easy question im just dumb me when solving this system of equations using linear combinat

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