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attashe74 [19]
2 years ago
10

Find the median for the following set of data: 13,26,35,44,38,12,47,23,26

Mathematics
2 answers:
RoseWind [281]2 years ago
5 0
<h3>Given:</h3>
  • 13, 26, 35, 44, 38, 12, 47, 23, 26
<h3>To find:</h3>
  • The median of the given data set.
<h3>Solution:</h3>
  • Median is middle number of the given data set, or from the given numbers.

Let's start!

First, we'll have to arrange the given values in either ascending or descending order.

Here I'm arranging in ascending order to make it easier.

12, 13, 23, 26, 26, 35, 38, 44, 47

Now, we'll have to find the value in the middle.

12, 13, 23, 26, <u>26</u>, 35, 38, 44, 47

26 is the middle number when we cut off numbers equally from the left and right.

\large\boxed{\bold{Median= 26}}

<u>Therefore,</u><u> </u><u>the</u><u> </u><u>median</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>data</u><u> </u><u>set</u><u> </u><u>is</u><u> </u><u>2</u><u>6</u>

WITCHER [35]2 years ago
4 0

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

For unorganized data, median is the middle value when the numbers are arranged in ascending order.

Let's proceed ~

In ascending order :

12, 13, 23, 26, 26, 35, 38, 44, 47

So, for given data... median is 26

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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
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Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
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Find the arc length of the partial circle. <br>length is 1.<br>**See attached photo**<br>​
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Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)

                 $=2 \times 3.14  \times 1\left(\frac{90^\circ}{360^\circ}\right)

                $=2 \times 3.14  \times 1\left(\frac{1}{4}\right)

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.

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Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = (\sqrt{2}/2) / (\sqrt{2}/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

3 0
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A circular plate has circumference 16.3 inches. What is the area of this​ plate? Use 3.14 for pi.
serg [7]

Answer:

C = 2πr = 16.3

2(3.14)r = 16.3

r = 16.3/6.28

r = 2.5955414

Area:  A = πr2

A = 3.14(2.5955414)2

A = 21.15366242 in^{2}

Step-by-step explanation:

The answer would be 21.2 in^{2}

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