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avanturin [10]
3 years ago
9

What is the definition of median

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

Answer: The median is the middle value in the list of numbers

Step-by-step explanation:

For example: 5,3,7,10,22,12,15,100,98

The median is 22 because it is in the middle of all the number displayed

Snowcat [4.5K]3 years ago
4 0

Answer:

the middle sequentially in a list of numbers (sorted from lowest to highest)

Step-by-step explanation:

for example, in the dataset 2, 4, 6, 8, 10, 6 would be the median because it is in the middle when sorted properly

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If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
it takes Joey 1/16 of an hour to write one Thank you card how many cards can he write in 3/4 of an hour?
bearhunter [10]

To solve this problem you will need to use the cross product method:

1/16 of an hour → write 1 card

3/4 of an hour → write X cards


(3/4) ÷ (1/16) = X


0.75 ÷ 0.0625 = X


12 = X


Joey can write 12 Thank you cards in 3/4 of an hour.


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
Read 2 more answers
1/2(x+10)= 1/4 (x-8) x= <br> (must be a fraction)
Alex_Xolod [135]

Answer:

x=-9\frac{1}{3}

Step-by-step explanation:

\frac{1}{2}(x+10)=\frac{1}{4}(x-8)

\frac{1}{2}x+5=\frac{1}{4}x-2

\frac{1}{2}x-\frac{1}{4}x=-5-2

\frac{3}{4}x=-7

x=-\frac{28}{3}=-9\frac{1}{3}

5 0
3 years ago
By which rule are these triangles congruent?<br> A) AAS <br> B) ASA <br> C) SAS <br> D) SSS
Veronika [31]

Answer:

the answer is c)SAS

Step-by-step explanation:

as the sides are already given and and both angles will be equal as vertically opposite angles (VOA)are always equal.

3 0
3 years ago
Write the quadratic equation in general form and then choose the value of "b."
eduard
The answer is b. 11. 

You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly. 

First Numbers:
2x * x = 2x^2

Outer Numbers: 
2x * 6 = 12x

Inner Numbers: 
-1 * x = -1x

Last Numbers: 
-1*6 = -6

Now place them all in that order and simplify. 
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6

Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11. 
3 0
3 years ago
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