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Oksana_A [137]
3 years ago
15

The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an

d width of the rectangle.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

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Step-by-step explanation:

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Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random variabl
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Answer:

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And we can find this probability with this difference:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

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For this case we can assume that the random variable is normally distributed.

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5 0
3 years ago
What is the explicit formula for this sequence?
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The correct answer is b.)

Step-by-step explanation:

Given:

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We conclude that this sequence is arithmetic series.

First we must find difference d:

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The formula for n-th term of the arithmetic series is:

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God with you!!!

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Murljashka [212]

Answer:

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Step-by-step explanation:

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