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3 years ago

In general, the median of a data set is less resistant to outliers than the mean. A. True B. False

Mathematics

2 answers:

Leto [7]3 years ago

7 0

A. true, the median of a data set is less resistant to outliers than the mean

antiseptic1488 [7]3 years ago

3 0

Answer:

FALSE is the correct answer

Step-by-step explanation:

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Consider F and C below. F(x, y) = x4y5i + x5y4j, C: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f.

vovikov84 [41]

$\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j$

We want a scalar function $f(x,y)$ whose gradient is equivalent to the vector field. That means

$\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)$
$\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

So (a)

$f(x,y)=\dfrac{x^5y^5}5+C$

which means (b)

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5$

5 0

3 years ago

Write an expression that represents the volume of a rectangular prism (box) with length 2003-02-02-00-00_files/i0260000.jpg, wid

k0ka [10]

h=5 in

w-6 in

l=12 in

SA/V=2*12*6+2*6*5+2*12*5/12*6*5

817:180

This is just an example do not use this exact equation and number! Hope it helps. : )

3 0

3 years ago

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

mart [117]

Using point slope formula it would be
Y - 5 = 2 • ( x + 8)

3 0

3 years ago

Read 2 more answers

Which statement correctly compares the two functions shown?

krok68 [10]

Answer:

Step-by-step explanation:

For Function 2

x=1 y=8

x=2 y=11

8=m+b

11=2m+b

11-8=2m-m

m=3

8=3+b

b=5

y=3x+5

Function 1

y=4x+5

Function 2

y=3x+5

....................

Function 1 has the same y-intercept and greater slope than Function 2.

4 0

3 years ago

Jen Butler has beepricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 108. T

kicyunya [14]

3x + 4y = 108

2x + 3y = 77

----

answer:

x= adult = $16

y= child = $15

6 0

3 years ago