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2 years ago

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Two cars start moving from the same point. One travels south at 52 mi/h and the other travels west at 39 mi/h. At what rate is t

he distance between the cars increasing two hours later

1 answer:

yawa3891 [41]2 years ago

6 0

Answer:

The distance between them is 91 mi/h

Step-by-step explanation:

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The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a

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Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.2

$P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2$

Calculation the value from standard normal z table, we have,

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Polygon LMNOP was transformed to create polygon L'M'N'O'P'.2 pentagons have identical side lengths and angle measures. The point

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The Angle that would correspond to Angle N after the transformation is; Angle N'

<h3>How to Interpret Transformations?</h3>

A polygon is defined as a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

In the transformation of LMNOP to create polygon L'M'N'O'P', we have that;

L corresponds to L'

M corresponds to M'

N corresponds to N'

O corresponds to O'

P corresponds to P'

Thus, we can conclude that Angle N would correspond to Angle N'

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