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4 years ago

Please help me with this algebra question

Mathematics

1 answer:

Makovka662 [10]4 years ago

7 0

Answer:

Step-by-step explanation:

The length of the rectangle is represented by the polynomial 2x^3 - 5x^2 + 8 and the width is represented by the polynomial, x + 3

The area of a rectangle is expressed as Length × width. Therefore, the area of the given rectangle is expressed as

(2x^3 - 5x^2 + 8)(x + 3)

= 2x^4 + 6x^3 - 5x^3 - 15x^2 + 8x + 24

= 2x^4 + x^3 - 15x^2 + 8x + 24

The constant term of the polynomial is 24

The polynomial has a degree of 4. This is the highest power of the variable, x

The leading coefficient of the polynomial is 2. This is the coefficient of the highest power of variable x

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Section 1

icang [17]

Answer:

$P(Red) = \frac{7}{25}$

Step-by-step explanation:

Given

$Red = 35$

$Blue = 40$

$Green = 50$

Required

Determine the probability of red

$P(Red) = \frac{n(Red)}{Total}$

Substitute value for n(Red) and calculate Total

$P(Red) = \frac{35}{35 + 40 + 50}$

$P(Red) = \frac{35}{125}$

Divide numerator and denominator by 5

$P(Red) = \frac{7}{25}$

6 0

3 years ago

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.

Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

$A=\dfrac{1}{2}\times Base\times height$

So, the area of Each right triangular tile is:

$A=\dfrac{1}{2}\times 5.2\times 6$

$A=\dfrac{1}{2}\times 31.2$

$A=15.6$

There are 150 tiles in the mosaic. So, the area of the mosaic is:

$Area=15.6\times 150$

$Area=2340$

Therefore, the total area of the mosaic is 2340 cm ².

5 0

3 years ago

Help ASAP:Solve : 0.84+91.279

jeka94

Answer:

92.119

Step-by-step explanation:

0.84+91.279=92.119

Hope this helps!

6 0

3 years ago

Read 2 more answers

The resting heart rate of 60 patients is shown in the frequency table below.

Murrr4er [49]

The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

<h3>How to determine the standard deviation of the data set?</h3>

The dataset is given as:

Heart Rate Frequency

60 1

65 3

70 4

75 12

80 8

85 15

90 9

95 5

100 3

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 + 80 * 8 + 85 * 15 + 90 * 9 + 95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)

Evaluate

Mean = 82.25

The standard deviation is

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}$

So, we have:

SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 + 15 * (85 - 82.25)^2 + 9 * (90 - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]

This gives

SD = √85.9533898305

Evaluate

SD = 9.27

Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

Read more about standard deviation at:

brainly.com/question/4079902

#SPJ1

5 0

2 years ago

The probability of something can be expressed as a decimal or as a percent. We know that the probability of something happening

Firdavs [7]

Answer: The probability lies between 0 and 1

Step-by-step explanation:

As from the given information probability of an event lies between 0% to 100% .

To convert percent into integer or fraction we have to divide it by 100

$0\%= \frac{0}{100} = 0$