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3 years ago

Find the median of the data in the dot plot below.

Mathematics

2 answers:

Oksanka [162]3 years ago

8 0

Answer:

Step-by-step explanation:

Data:

35 , 38, 38 , 39 , 39, 41, 42 , 43, 43, 44

Total number of data = 10

Number of data is even. so, median is the average of (n/2)th term & ( $\frac{n}{2}+1$ ) middle term,

Median = average of 5th and 6th term

= (39 + 41)/2 = 80/2 = 40

Marta_Voda [28]3 years ago

6 0

Answer:

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact value in the middle then it is the average of the values either side of the middle.

The data is arranged in ascending order within the dot plot

There are 10 values in the data set

Thus the median is between the fifth and sixth values.

Counting from the left (35)

The fifth value = 39 and the sixth value = 41, thus

median = $\frac{39+41}{2}$ = $\frac{80}{2}$ = 40

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3 years ago

Evaluate the integral ∫2032x2+4dx. Your answer should be in the form kπ, where k is an integer. What is the value of k? (Hint: d

faltersainse [42]

Here is the correct computation of the question;

Evaluate the integral :

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(b) Now, lets evaluate the same integral using power series.

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Then, integrate it from 0 to 2, and call it S. S should be an infinite series

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(b)

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Step-by-step explanation:

(a)

$\int\limits^2_0 \dfrac{32}{x^2 + 4} \ dx$

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$= 32 ( \dfrac{1}{2} arctan (\dfrac{2}{2})- \dfrac{1}{2} arctan (\dfrac{0}{2}))$

$= 32 ( \dfrac{1}{2}arctan (1) - \dfrac{1}{2} arctan (0))$

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$S = 16-4 + \dfrac{12}{5}- \dfrac{12}{7}+ \dfrac{12}{9}-...$

$a_0 = 16\\ \\ a_1 = -4 \\ \\ a_2 = \dfrac{12}{5} \\ \\a_3 = - \dfrac{12}{7} \\ \\ a_4 = \dfrac{12}{9}$

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Step-by-step explanation:

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