The sample size of this two-stage experiment would be 1 fair coin and 1 deck of cards; 1 half deck of only clubs and spades, and one half deck of only hearts and diamonds.
Answer:
x=6
Step-by-step explanation:
lets take the # of weeks as x
since the total cost is $324
jamal pays 54 each week:
so, 54x=324
54x/54=324/54
x=6
Answer: ![\dfrac{x^2}{9}+\dfrac{y^2}{9}=1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7B9%7D%2B%5Cdfrac%7By%5E2%7D%7B9%7D%3D1)
Step-by-step explanation:
Given
![x=3\sin 2\phi\\y=3\cos 2\phi](https://tex.z-dn.net/?f=x%3D3%5Csin%202%5Cphi%5C%5Cy%3D3%5Ccos%202%5Cphi)
square and add
terms i.e.
![\Rightarrow x^2+y^2=[3\sin 2\phi]^2+[3\cos 2\phi]^2\\\Rightarrow x^2+y^2=9\sin ^22\phi+9\cos ^2 2\phi\\\Rightarrow x^2+y^2=9[\sin^2 2\phi +\cos^2 2\phi]\\](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2%2By%5E2%3D%5B3%5Csin%202%5Cphi%5D%5E2%2B%5B3%5Ccos%202%5Cphi%5D%5E2%5C%5C%5CRightarrow%20x%5E2%2By%5E2%3D9%5Csin%20%5E22%5Cphi%2B9%5Ccos%20%5E2%202%5Cphi%5C%5C%5CRightarrow%20x%5E2%2By%5E2%3D9%5B%5Csin%5E2%202%5Cphi%20%2B%5Ccos%5E2%202%5Cphi%5D%5C%5C)
Using identity ![\sin ^2\theta +\cos ^2 \theta =1](https://tex.z-dn.net/?f=%5Csin%20%5E2%5Ctheta%20%2B%5Ccos%20%5E2%20%5Ctheta%20%3D1)
![\Rightarrow x^2+y^2=9\\\\\Rightarrow \dfrac{x^2}{9}+\dfrac{y^2}{9}=1](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2%2By%5E2%3D9%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Bx%5E2%7D%7B9%7D%2B%5Cdfrac%7By%5E2%7D%7B9%7D%3D1)
You would need 14 cases. You multiply 150 times 2 to get 300 which is 2 cases of soap per day and you multiply 7 days in a week by 2 and you let math magic happen