Answer:
The equivalent expression for the given expression ![\sqrt[3]{256x^{10}y^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D)
is
![4x^{3} y^{2}(\sqrt[3]{4xy} )](https://tex.z-dn.net/?f=4x%5E%7B3%7D%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%20%29)
Step-by-step explanation:
Given:
Solution:
We will see first what is Cube rooting.
![\sqrt[3]{x^{3}} = x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B3%7D%7D%20%3D%20x)
Law of Indices
Now, applying above property we get
![\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%5Csqrt%5B3%5D%7B%284%5E%7B3%7D%5Ctimes%204%5Ctimes%20%28x%5E%7B3%7D%29%5E%7B3%7D%5Ctimes%20x%5Ctimes%20%28y%5E%7B2%7D%29%5E%7B3%7D%5Ctimes%20y%20%20%20%29%7D%20%5C%5C%5C%5C%5Ctextrm%7BCube%20Rooting%20we%20get%7D%5C%5C%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%204%5Ctimes%20x%5E%7B3%7D%5Ctimes%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%29%20%5C%5C%5C%5C%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%204x%5E%7B3%7Dy%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%29)
∴ The equivalent expression for the given expression is
RS and TS are congruent as they are the sides opposite the 20 degree angles. That mean TR > TS so "A" is the only answer that is correct.
Usando probabilidad condicional, se encuentra que hay una probabilidad de 0.0186 = 1.86% que la persona esta realmente autorizada para ingresar.
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Probabilidad Condicional
En que:
- P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
es la probabilidad de que ocurran tanto A como B. - P(A) es la probabilidad de que ocurra el evento A.
En este problema:
- Evento A: Persona rechazada.
- Evento B: Autorizada.
La probabilidad de una persona ser rechazada es:
de 95% = 0.95(autorizada).
de 5% = 0.05(non autorizadas).
O sea:
La probabilidad de una persona estar autorizada y ser rechazada es:
¿Cuál es la probabilidad que la persona esta realmente autorizada para ingresar?
Probabilidad de 0.0186 = 1.86% que la persona esta realmente autorizada para ingresar.
Un problema similar es dado en brainly.com/question/18734831
Answer:
Exact form = 35/4
Decimal form = 8.75
Mixed Number = 8 3/4
Step-by-step explanation:
1. Find the GCD (or HCF) of numerator and denominator. GCD of 105 and 12 is 3.
2. 105 ÷ 312 ÷ 3.
3. Reduced fraction: 354. Therefore, 105/12 simplified to lowest terms is 35/4.
Hope this helps. Please mark brainlist
Write the ratios as fractions. Then identify a common denominator. Rewrite the fractions using the common denominator. Compare the numerators. The greater numerator indicates the greater ratio.
I hope this helps :)
