A bag has 5 red marbles, 6 blue marbles and 4 black marbles
so total no. of marbles = 5 + 6 + 4 = 15
now probability of picking a black marble = 4/15
after replacement again probability of picking black marble is 4/15
it is given that black marble is picked two times
so probability of picking black marble two times or picking , replacing , and then picking is 4/15*4/15 = 16/225
let X equal initial string length
X / 16 = 7.3
X = 7.3 * 16
X = 116.8
Answer:
y = -9/2 x +5
Step-by-step explanation:
Slope intercept form is y=mx+b
2y = -9x+10
y = -9/2 x +5
Answer:
sorry dawg this stuff hard. lol good luck
Step-by-step explanation:
![\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{a\cdot b}\\\\a^n\cdot a^m=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%5Ccdot%5Csqrt%5Bn%5D%7Bb%7D%3D%5Csqrt%5Bn%5D%7Ba%5Ccdot%20b%7D%5C%5C%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%28a%5En%29%5Em%3Da%5E%7Bn%5Ccdot%20m%7D%5C%5C%5C%5C%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
![\sqrt[3]{2x^5}\cdot\sqrt[3]{64x^9}=\sqrt[3]{2x^5}\cdot\sqrt[3]{64}\cdot\sqrt[3]{x^9}\\\\=\sqrt{2x^5}\cdot4\cdot\sqrt[3]{x^9}=4\sqrt[3]{2x^5\cdot x^9}\\\\=4\sqrt[3]{2x^{5+9}}=4\sqrt[3]{2x^{14}}=4\sqrt[3]{2x^{2+12}}=4\sqrt[3]{2x^2x^{12}}\\\\=4\sqrt[3]{2x^2x^{4\cdot3}}=4\sqrt[3]{2x^2(x^4)^3}=4\sqrt[3]{2x^2}\cdot\sqrt[3]{(x^4)^3}\\\\=4\sqrt[3]{2x^2}\cdot x^4=\boxed{4x^4\sqrt[3]{2x^2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2x%5E5%7D%5Ccdot%5Csqrt%5B3%5D%7B64x%5E9%7D%3D%5Csqrt%5B3%5D%7B2x%5E5%7D%5Ccdot%5Csqrt%5B3%5D%7B64%7D%5Ccdot%5Csqrt%5B3%5D%7Bx%5E9%7D%5C%5C%5C%5C%3D%5Csqrt%7B2x%5E5%7D%5Ccdot4%5Ccdot%5Csqrt%5B3%5D%7Bx%5E9%7D%3D4%5Csqrt%5B3%5D%7B2x%5E5%5Ccdot%20x%5E9%7D%5C%5C%5C%5C%3D4%5Csqrt%5B3%5D%7B2x%5E%7B5%2B9%7D%7D%3D4%5Csqrt%5B3%5D%7B2x%5E%7B14%7D%7D%3D4%5Csqrt%5B3%5D%7B2x%5E%7B2%2B12%7D%7D%3D4%5Csqrt%5B3%5D%7B2x%5E2x%5E%7B12%7D%7D%5C%5C%5C%5C%3D4%5Csqrt%5B3%5D%7B2x%5E2x%5E%7B4%5Ccdot3%7D%7D%3D4%5Csqrt%5B3%5D%7B2x%5E2%28x%5E4%29%5E3%7D%3D4%5Csqrt%5B3%5D%7B2x%5E2%7D%5Ccdot%5Csqrt%5B3%5D%7B%28x%5E4%29%5E3%7D%5C%5C%5C%5C%3D4%5Csqrt%5B3%5D%7B2x%5E2%7D%5Ccdot%20x%5E4%3D%5Cboxed%7B4x%5E4%5Csqrt%5B3%5D%7B2x%5E2%7D%7D)
