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Olegator [25]
3 years ago
13

Find the sum 1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)

Mathematics
1 answer:
cluponka [151]3 years ago
4 0

Answer:

Step-by-step explanation:

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Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0
3 years ago
3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3​
ankoles [38]

Given:

The equation is:

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

To find:

The value of a.

Solution:

We have,

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

On simplification, we get

(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}

(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}

On comparing both sides, we get

6-12a=-18

-12a=-18-6

a=\dfrac{-24}{-12}

a=2

And,

8-3a=2

-3a=2-8

a=\dfrac{-6}{-3}

a=2

Therefore, the value of a is 2.

3 0
3 years ago
What value represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test?
Ket [755]

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom. In other words, the number of degrees of freedom can be defined as the minimum number of independent coordinates that can specify the position of the system completely.

<span>
The degree of freedom
represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test.</span>

8 0
3 years ago
Help im still lazy lol
jonny [76]

Answer:

t=-105

Step-by-step explanation:

-\frac{1}{15} t =7

What we need to do here is to isolate t.

Let's multiply both sides by -15.

-\frac{1}{15}t  * -15 = 1t

7*-15= -105

t=-105

6 0
3 years ago
Read 2 more answers
PLS I NEED HELP THIS IS THE LAST QUESTION FOR MY GEOMETRY WORKSHEET ANYTHING IS APPERCIATED
mr_godi [17]

Answer:

4.64

Step-by-step explanation:

X^2= r/s

8 0
3 years ago
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