In a reflection along the x-axis a given coordinate (2, -1) transforms itself into which of the following?
2 answers:
Answer with explanation:
The Meaning of reflection of a point through any of the axis states that,the perpendicular distance of a point from either of the axes chosen as line of reflection from Image and Preimage is constant.
⇒Preimage = (2, -1)
Marking the point in x y Plane and then Plotting it's reflection in x y plane
⇒ Image = (2, 1)
In the first Quadrant.
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Answer:
The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:
.
Which interval describes how long it takes for passengers to board the middle 95% of the time?
This is between the 2.5th percentile and the 97.5th percentile.
So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975
Lower Limit
Z has a pvalue of 0.025 when . So
Upper Limit
Z has a pvalue of 0.975 when . So
The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.