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3 years ago

10

The number line diagram shows the distance between each number in a set of ata and the data's mean of 12. Which is the mean abso

lute deviation? 5 6 H HHH 6 7 8 9 10 11 12 13 14 15 16 17 18 mean

1 answer:

Murrr4er [49]3 years ago

4 0

The mean is 12.6 and your welcome

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For the function given below, find a formula for the riemann sum obtained by dividing the interval [a,b] into n equal subinter

Nata [24]

We split [2, 4] into $n$ subintervals of length $\dfrac{4-2}n=\dfrac2n$ ,

$[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]$

so that the right endpoints are given by the sequence

$x_i=2+\dfrac{2i}n=\dfrac{2(n+i)}n$

for $1\le i\le n$ . Then the Riemann sum approximating

$\displaystyle\int_2^42x\,\mathrm dx$

is

$\displaystyle\sum_{i=1}^nf(x_i)\dfrac{4-2}n=\frac8{n^2}\sum_{i=1}^n(n+i)=\frac8{n^2}\left(n^2+\frac{n(n+1)}2\right)=\frac{12n+4}n$

The integral is given exactly as $n\to\infty$ , for which we get

$\displaystyle\int_2^42x\,\mathrm dx=\lim_{n\to\infty}\frac{12n+4}n=12$

To check: we have

$\displaystyle\int_2^42x\,\mathrm dx=x^2\bigg|_2^4=4^2-2^2=16-4=12$

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3 years ago

Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?

vivado [14]

Answer:

(-5, 3)

Step-by-step explanation:

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3 years ago

A coral reef grows 0.17 m every week. How much does it grow in 8 weeks? Write your answer in millimeters

Dmitry_Shevchenko [17]

ANSWER

Find out the how much does it grow in 8 weeks

To proof

As given

A coral reef grows 0.17 m every week.

now for the 8 weeks

coral reef grows in the 8 weeks = 8× 0.17

= 1.36 m

As

1 meter = 1000 millimeter

To convert growth of coral reef in the millimeter

= 1.36 × 1000

= 1360 millimeter

Hence 1360 millimeter be the coral reef grows in 8 weeks

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4 years ago

What numbers form a right triangle ?

Vadim26 [7]

Answer:

90

Step-by-step explanation:

if your talking about degrees it would be 90

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3 years ago

-28=p+21<br> Please help I don’t understand

gayaneshka [121]

Answer: -7

Step-by-step explanation:

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3 years ago

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