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3 years ago

10

What can be said about a set of data with a standard deviation of 0?

1 answer:

Alborosie3 years ago

4 0

All the data points must be equal to the mean.

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The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of a bridge is 1270 ft long and

deff fn [24]

Answer:

Step-by-step explanation:

Given

span of bridge $L=1270\ ft$

height of span $h=157\ ft$

Equation of Parabola

$y=0.00039x^2$

$|x|$ i.e.

$-635$

$\frac{dy}{dx}=2\times 0.00039$

length of Arc $=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}$

$=\int_{-635}^{635}\sqrt{1+(\frac{dy}{dx})^2}$

$=\int_{-635}^{635}\sqrt{1+(0.00078x)^2}$

$=2\times \int_{0}^{635}\sqrt{1+(0.00078x)^2}$

$=2\times (660.08)$

$=1320.16\ ft$

4 0

3 years ago

I Need to find the Function Operations

Alinara [238K]

Answer:

1) $(f+g)(x)=2x^2+3x-6$

2) $(f-g)(x)=2x^2+x$

3) $(f \cdot g)(x)=2x^3-4x^2-9x+9$

Step-by-step explanation:

So we have the two functions:

$f(x)=2x^2+2x-3\text{ and } g(x)=x-3$

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

$(f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)$

Combine like terms:

$=(2x^2)+(2x+x)+(-3-3)$

Add:

$=2x^2+3x-6$

So:

$(f+g)(x)=2x^2+3x-6$

2)

(f-g)(x) is the same to f(x)-g(x). So:

$(f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)$

Distribute:

$=(2x^2+2x-3)+(-x+3)$

Combine like terms:

$=(2x^2)+(2x-x)+(-3+3)$

Simplify:

$=2x^2+x$

So:

$(f-g)(x)=2x^2+x$

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

$(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)$

Distribute:

$=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)$

Distribute:

$=(2x^3+2x^2-3x)+(-6x^2-6x+9)$

Combine like terms:

$=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)$

Simplify:

$=2x^3-4x^2-9x+9$

So:

$(f \cdot g)(x)=2x^3-4x^2-9x+9$

4 0

3 years ago

mr schiffer planted 9 fruit trees in his orchard. of the , 1/3 are grapefruit trees. how many trees are garapefruit trees

DENIUS [597]

If 1/3th of the trees are grapefruit trees and he planted 9 trees there is 3 grapefruit trees hoped this help

5 0

3 years ago

Read 2 more answers

A school sold tickets to a musical,

Alexandra [31]

T=5.25n......................

7 0

3 years ago

Please help: 3(x+2)+2(x-4)=x-3(x+3)

qwelly [4]

<em>*Distribute*</em>

3x+6+2x-8=x-3x-9

<em>*Combine like terms*</em>

5x-2=-2x-9

<em>*Add 2x to both sides*</em>

7x-2=-9

<em>*Add 2 to both sides*</em>

7x=-7

<em>*Divide both sides by 7*</em>

x=-1

Hope this helps!!

4 0

3 years ago

Read 2 more answers