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Bezzdna [24]
2 years ago
15

Find the mean of 3,2,4,6,5,6,1,7,9,8,10​

Mathematics
1 answer:
LenaWriter [7]2 years ago
5 0

Answer:

5\frac{6}{11}

Step-by-step explanation:

Number of Values = 11.

Mean = Sum of values / Number of Values

= \frac{3+2+4+6+5+6+1+7+9+8+10}{11} \\=\frac{61}{11} \\= 5\frac{6}{11}

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How to write 11001195 in words​
avanturin [10]

Answer:

Eleven million one thousand one hundred ninety-five

6 0
3 years ago
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Can someone answer this
bezimeni [28]

Answer:

Step-by-step explanation:

x         6         a

8       48        c  

-4        b       20

Let the unknown numbers of the multiplication grid are a, b and c.

1). 6 × 8 = 48

2). (-4)×6 = b

    b = -24

3). (-4) × a = 20

   a = -5

4). 8 × a = c

    8 × (-5) = c

    c = -40

Therefore, missing in the given multiplication grid are,

x         6        -5

8       48       -40  

-4      -24       20

6 0
3 years ago
1. -7/9 • 3/5
ASHA 777 [7]
The answer to the question

5 0
3 years ago
Find the ratio of x to y<br> x/5 = 2/3 = 5/y
BigorU [14]
X=2
-- ---
5  3
Cross multiply:
3x=10
x=10/3

2=5
-- ---
3  y
2y=15
y=15/2
10/3=15/2 :)
3 0
3 years ago
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Let f be defined by the function f(x) = 1/(x^2+9)
riadik2000 [5.3K]

(a)

\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :

\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt

=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}

(b) The series

\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}

converges by comparison to the convergent <em>p</em>-series,

\displaystyle\sum_{n=3}^\infty\frac1{n^2}

(c) The series

\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}

converges absolutely, since

\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.

5 0
3 years ago
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