Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number
1 answer:
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Answer:
6 seconds
Step-by-step explanation:
Initial distance of Mario from motion detector = 2 ft
Speed of Mario = 1.5 ft/sec
Total distance of Mario from motion detector = 11 ft
Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft
Given that:
Distance = 9 ft
Speed = 1.5 ft/sec
<em>Formula:</em>
So, at <em>6 seconds</em>, Mario will be 11 ft from the motion detector.
Answer:
P(X > 25) = 0.69
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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.
The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.
This means that
Find P(X>25)
This is 1 subtracted by the pvalue of Z when X = 25. So
has a pvalue of 0.31
1 - 0.31 = 0.69.
So
P(X > 25) = 0.69