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Mekhanik [1.2K]
4 years ago
5

Graph each figure and its image under the given reflection

Mathematics
1 answer:
Mnenie [13.5K]4 years ago
5 0
We can’t graph here, sorry
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Ralph sold brownies for ​$0.30
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A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is
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Answer:

15.87% probability that the car travels more than 53 miles per gallon.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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 problem, we have that:

\mu = 45, \sigma = 8

Find the probability of the following events: A. The car travels more than 53 miles per gallon. Probability

This is the pvalue of Z when X = 53. So

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

Z = \frac{53 - 45}{8}

Z = 1

Z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

15.87% probability that the car travels more than 53 miles per gallon.

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What is the image of the point (-5,-9) after a rotation of 90 degrees counterclockwise about the origin
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