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DIA [1.3K]
2 years ago
7

The length of a rectangle is the width minus 3 units. The area of the rectangle is 40 units. What is the width, in units, of the

rectangle?
Mathematics
1 answer:
Eva8 [605]2 years ago
6 0

The width of rectangle is 8 units.

Step-by-step explanation:

Given,

Area of rectangle = 40 units

Width = w

Length = w-3

Area = Length * Width

40=(w-3)*w\\40=w^2-3w\\w^2-3w=40\\w^2-3w-40=0

Factorizing the equation

w^2-8w+5w-40=0\\w(w-8)+5(w-8)=0\\(w-8)(w+5)=0

Either,

w-8=0         => w=8

Or,

w+5=0        =>w= -5

As width cannot be negative, therefore

Width of rectangle = 8 units

The width of rectangle is 8 units.

Keywords: area, rectangle

Learn more about rectangles at:

  • brainly.com/question/10538663
  • brainly.com/question/10557275

#LearnwithBrainly

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Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam
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Answer:

P(A) = \frac{30}{100}

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Step-by-step explanation:

Given

See attachment for proper format of table

n = 100 --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

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So, we have:

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P(A) is then calculated as:

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Here, we only consider data in the Yes column.

In this column:

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So, we have:

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P(B) is then calculated as:

P(B) = \frac{n(B)}{Sample}

P(B) = \frac{77}{100}

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Here, we only consider the similar cell in the yes column and sample 1 row.

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And it is represented with; n(A n B)

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n(A\ n\ B) = 22

The probability is then calculated as:

P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}

P(A\ n\ B) = \frac{22}{100}

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This is calculated as:

P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)

This gives:

P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}

Take LCM

P(A\ u\ B) = \frac{30+77-22}{100}

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