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DochEvi [55]
2 years ago
15

7

Mathematics
1 answer:
Vinvika [58]2 years ago
5 0

Answer:

126 square units

Step-by-step explanation:

Area of section 1 is 8 square units which is triangle and,

Area of triangle is =  \frac{1}{2}\times b\times h

b= 2 units and height =8 units

So,

Area of section 1  =  \frac{1}{2}\times 2\times 8=8 \quad\text{ square units}

Same Area is of section 2 which is also a triangle and has same base and height.

So,

Area of Section 2 = \frac{1}{2}\times 2\times 8=8 \quad\text{ square units}

Now the Area of section 3 which is square with side of 10 units

So,

Area of section 3 =  a^{2} =10\times10=100\quad \text{square units}

Total Area of Trapezoid = 8+8+100=126 \quad \text{square units}

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Tatiana [17]
It's absolutely correct.............. 
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4 years ago
Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
liberstina [14]

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

<h3>How does one analyze an histogram?</h3>

1. The given data from the histogram is presented in a tabular form as follows;

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

  • Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}

2. Mean of a frequency distribution is given as follows;

Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

  • Mean = \dfrac{44410}{1651}   \approx \underline{27}

3. Number of songs played less than 20 times = 899 + 224 = 1,123

  • \mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651}  \times 100 \approx \underline{ 68 \%}

Learn more about percentages and histograms here:

brainly.com/question/10491646

brainly.com/question/1413492

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2 years ago
An auto parts chain asked customers to complete a survey rating the chain's customer service as average, above average, or below
Mandarinka [93]

Answer:

The right answer is "0.33".

Step-by-step explanation:

As per the question,

n = 15

Average will be "x = 5"

Now,

The required proportion will be:

⇒ p=\frac{x}{n}

By putting the values, we get

⇒     =\frac{5}{15}

⇒     =0.33

Thus, the above is the appropriate solution.

8 0
3 years ago
If f (x) =3x+10x and g(x)=5x-3,find (f+g)(x)
skad [1K]

Answer:

(f+g)(x)=3x^2+15x-3

Step-by-step explanation:

f(x) = 3x^2+10x\\g(x) = 5x-3

Adding both

(f+g)(x) = 3x^2+10x+5x-3

(f+g)(x)=3x^2+15x-3

5 0
4 years ago
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What does a lake with a zero elevation mean
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Answer:

Zero-elevation surface is a vertical datum that is used to describe a surface, such as that of a planet. The value of this datum is usually adopted by statute. This elevation is used, for example, to build a texture map from an agreed surface, such as a spheroid with dimensions defined by a mean surface gravity.

Step-by-step explanation:

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