Answer:
100
Step-by-step explanation:
Because 100
x 10
= 1000
Answer:
x = -3
Step-by-step explanation:
<em>I hope you mean "no solution" as in 'equal to zero' because that's what I'm doing and what makes sense.</em>
<em>Start by setting the equation equal to zero.</em>
3x + 9 = 0
<em>Subtract the </em><em>9</em><em> from both sides to move it to the right side.</em>
3x = -9
<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>
x = -3
<em>We can check that </em><em>x = -3</em><em> is the correct answer by plugging it in and seeing if it equals </em><em>zero</em><em>.</em>
3(-3) + 9
-9 + 9
0
The boundaries:
x = 0, y = 8; y = 0, √x³ = = 8, x = 4
![A= \int\limits^4_0 {(8- x^{3/2}) } \, dx = \\ =8 x - 2 \sqrt{ x^{5} }/5= \\ 8*4-64/5 =19.2](https://tex.z-dn.net/?f=A%3D%20%5Cint%5Climits%5E4_0%20%7B%288-%20x%5E%7B3%2F2%7D%29%20%7D%20%5C%2C%20dx%20%3D%20%5C%5C%20%3D8%20x%20-%202%20%5Csqrt%7B%20x%5E%7B5%7D%20%7D%2F5%3D%20%5C%5C%208%2A4-64%2F5%20%3D19.2%20)
![V = \int\limits^4_0 { \pi (8 - x^{3/2}) } \, dx = \\ = \pi \int\limits^0_4 {(64 - 16 * 2 \sqrt{ x^{5} /5} + x^{4}/4) \, dx =](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%20%5Cpi%20%288%20-%20%20x%5E%7B3%2F2%7D%29%20%7D%20%5C%2C%20dx%20%3D%20%5C%5C%20%3D%20%5Cpi%20%20%5Cint%5Climits%5E0_4%20%7B%2864%20-%2016%20%2A%202%20%5Csqrt%7B%20x%5E%7B5%7D%20%2F5%7D%20%2B%20%20x%5E%7B4%7D%2F4%29%20%20%5C%2C%20dx%20%3D%20)
= π ( 64 x - 16 * 2 *√x^5 + x^4 / 4 ) =
= π ( 320 - 1024/5 + 64 ) =
179.2 π
Answer:
The possible values for X is: ![{0,1,2,3,....,12}](https://tex.z-dn.net/?f=%7B0%2C1%2C2%2C3%2C....%2C12%7D)
Yes, it is a discrete random variable.
Step-by-step explanation:
Consider the provided information.
We need to determine whether the variable is discrete or not.
Discrete variables are which can only take on a finite number of values.
Let the variable X be the number of unbroken eggs in a randomly chosen standard egg carton.
In a standard egg carton we can put 12 eggs.
Therefore, the possible values for X is: ![{0,1,2,3,....,12}](https://tex.z-dn.net/?f=%7B0%2C1%2C2%2C3%2C....%2C12%7D)
The number of unbroken eggs (X) can take infinite values, thus by the above definition it is a discrete random variable.
![\bf{4(x+1)=8}](https://tex.z-dn.net/?f=%5Cbf%7B4%28x%2B1%29%3D8%7D)
Divide both sides by 4.
![\bf{x+1=\dfrac{8}{4} }](https://tex.z-dn.net/?f=%5Cbf%7Bx%2B1%3D%5Cdfrac%7B8%7D%7B4%7D%20%7D)
Divide 8 by 4 to get 2.
![\bf{x+1=2}](https://tex.z-dn.net/?f=%5Cbf%7Bx%2B1%3D2%7D)
Subtract 1 from both sides.
![\bf{x=2-1 }](https://tex.z-dn.net/?f=%5Cbf%7Bx%3D2-1%20%7D)
Subtract 1 from 2 to get 1.
![\bf{x=1 \ \ \to \ \ \ Answer}](https://tex.z-dn.net/?f=%5Cbf%7Bx%3D1%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5C%20Answer%7D)
<h2>Verification</h2>
Let x=1.
![\bf{4\times(1+1)=8 \ \ \to \ \ \ [Add] }](https://tex.z-dn.net/?f=%5Cbf%7B4%5Ctimes%281%2B1%29%3D8%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5C%20%5BAdd%5D%20%7D)
![\bf{4\times2=8 \ \ \to \ \ \ [Multiply]}](https://tex.z-dn.net/?f=%5Cbf%7B4%5Ctimes2%3D8%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5C%20%5BMultiply%5D%7D)
![\bf{8=8 \ \ \to \ \ \ [Equality \ holds] }](https://tex.z-dn.net/?f=%5Cbf%7B8%3D8%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5C%20%5BEquality%20%5C%20holds%5D%20%7D)
Checked ✅
<h2>
{ Pisces04 }</h2>