All categories

2 years ago

Does the following scenario represent independent or dependent events?

Mathematics

1 answer:

ra1l [238]2 years ago

5 0

Independent
Hope this helps :)
Can I have brainliest

You might be interested in

A cylinder has a radius of 3.2 meters its volume is 190 Cubic meters find its height to the nearest 10th of a meter

Stels [109]

Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

5 0

3 years ago

Calculus question....does anyone know how to solve this?

iogann1982 [59]

$h(x)=(f\circ g)(x)$
$\sqrt{x+5}=\sqrt{g(x)+2}$
$x+5=g(x)+2$
$g(x)=x+3$

Just to check this is correct:

$(f\circ g)(x)=f(g(x))=f(x+3)=\sqrt{(x+3)+2}=\sqrt{x+5}=h(x)$

6 0

3 years ago

Question 7 of 10

VLD [36.1K]

Answer:

It is increasing

The y-intercept is (0, 3).

The domain of F(x) is all real numbers.

7 0

2 years ago

For what values of x is the rational expression below undefined?

Marina CMI [18]

Hello,

A fraction is not defined if its denominator is null.

3x²-75=0
==>3(x²-25)=0
==>(x+5)(x-5)=0
==>x=-5 or x=5

8 0

3 years ago

Read 2 more answers

Consider the differential equation <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D6%20y%5E%7

Nutka1998 [239]

As a Bernoulli equation:

$x^2\dfrac{\mathrm dy}{\mathrm dx}=6y^2+6xy\iff x^2y^{-2}\dfrac{\mathrm dy}{\mathrm dx}-6xy^{-1}=6$

Let $z=y^{-1}\implies\dfrac{\mathrm dz}{\mathrm dx}=-y^{-2}\dfrac{\mathrm dy}{\mathrm dx}$ . The ODE becomes

$-x^2\dfrac{\mathrm dz}{\mathrm dx}-6xz=6$
$x^6\dfrac{\mathrm dz}{\mathrm dx}+6x^5z=-6x^4$
$\dfrac{\mathrm d}{\mathrm dx}[x^6z]=-6x^4$
$x^6z=-6\displaystyle\int x^4\,\mathrm dx$
$x^6z=-\dfrac65x^5+C$
$z=-\dfrac6{5x}+\dfrac C{x^6}$
$y^{-1}=-\dfrac6{5x}+\dfrac C{x^6}$
$y=\dfrac1{\frac C{x^6}-\frac6{5x}}$
$y=\dfrac{5x^6}{C-6x^5}$

With $y(3)=6$ , we get

$6=\dfrac{5(3)^6}{C-6(3)^5}\implies C=\dfrac{4131}2$

so the solution is

$y=\dfrac{5x^6}{\frac{4131}2-6x^5}=\dfrac{10x^6}{4131-12x^5}$

which is valid as long as the denominator is not zero, which is the case for all $x\neq\sqrt[5]{\dfrac{4131}{12}}$ .

8 0

3 years ago