30 centimeters cubic centimeters
Answer: is 3x-12
12(6) =2
Answer:
Hello,
a=0.5
Step-by-step explanation:
![\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7Dax%2B2y%26%3D%2612%5C%5C8x%2B32y%26%3D%26144%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7Dax%2B2y%26%3D%2612%5C%5Cx%2B4y%26%3D%2618%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7D%281-2a%29x%26%3D%26-6%5C%5Cx%2B4y%26%3D%2618%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5Cif%5C%201-2a%5Cneq%200%5C%20%28or%5C%20a%5Cneq%20%5Cdfrac%7B1%7D%7B2%7D%20%29%5C%20then%5C%5C%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7Dx%26%3D%26%5Cdfrac%7B6%7D%7B2a-1%7D%5C%5C%5C%5Cy%26%3D%26%5Cdfrac%7B18-%5Cdfrac%7B6%7D%7B2a-1%7D%7D%7B4%7D%20%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C)
![\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\](https://tex.z-dn.net/?f=%5CLongleftrightarrow%5C%20%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7Dx%26%3D%26%5Cdfrac%7B6%7D%7B2a-1%7D%5C%5C%5C%5Cy%26%3D%26%5Cdfrac%7B%203%283a-2%29%7D%7B2a-1%7D%20%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C)
else\
![a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B1%7D%7B2%7D%20%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7D%5Cdfrac%7B1%7D%7B2%7D%20x%2B2y%26%3D%2612%5C%5C%5C%5Cx%2B4y%26%3D%2618%20%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7Dx%2B4y%26%3D%2624%5C%5C%5C%5Cx%2B4y%26%3D%2618%20%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%20%5C%7B%20%5Cbegin%7Barray%7D%7Bccc%7D0%3D6%5C%20%21%21%21%21%21%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5CSyetem%5C%20has%5C%20no%5C%20solution%5C%5C)
Do you mean <span><span><span><span>cos6</span>x+6<span>cos4</span>x+15<span>cos2</span>x+10</span><span><span>cos5</span>x+5<span>cos3</span>x+10cosx</span></span> ?</span>
or <span><span><span>cos6x+6cos4x+15cos2x+10</span><span>cos5x+5cos3x+10cosx</span></span> ?</span>
or <span><span><span><span>cos6</span>x+6<span>cos4</span>x+15<span>cos2</span>x+10</span><span><span>cos5</span>x</span></span>+5<span>cos3</span>x+10cosx ?</span>
or <span><span><span>cos6x+6cos4x+15cos2x+10</span><span>cos5x</span></span>+5cos3x+10cosx <span>?</span></span>
It's a mistake to say that the area under the standard normal curve associated with a z score of 3 is 0. That area is actually slightly less than 1.
Using a old but good calculator with statistical functions:
normalcdf(-100, +3) = 0.999