En una tienda se venden 5 distintos sabores de refrescos (uva,fresa,toronja,naranja y piña) Se desea escoger 3 al azar sin importar el orden en el que se saquen. Utiliza las combinaciones para encontrar posibles resultados y así calcular la probabilidad para los eventos.

Paul and Roger are partners who share income in the ratio of \( 3: 2(3 / 5 \) to Paul and \( 2 / 5 \) to Roger). Their capital balances are \( \$ 90,000 \) and \( \$ 130,000 \), respectively. The partnership generated net income of \( \$ 50,000 \) for the year. What is Paul's capital balance after closing the revenue and expense accounts to the capital accounts?

b. \( \frac{\square}{7}=\frac{2}{14} \)

A train in Japan can travel 813.5 miles in 5 hours. Find the unit rate in miles per hour. An ice skater covered 1500 meters in 106 scconds. Find his unit rate in meters per second. A cellular company offers a price of \( \$ 19.95 \) for 200 minutes. Find the unit rate in cost

Simplify. \[ \frac{2 y^{2}+11 y+14}{2 y^{2}+3 y-14} \]

5. \( \sum_{i=26}^{50}\left(i^{4}+3 i^{3}+2 i^{2}+5 i+4\right)= \)