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Make 3D heart with Happy Valentine's Day inside using python code


An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 786 hours and a standard deviation of 80 hours. Find the probability that a random samples of 17 bulbs will have an average life between 799 and 802 hours.


It took a man 3 seconds nto raise a load of 40kg to a hight of 25 m.Determine the average power employed.

A body of 85kg moving with velocity of 9ms-¹ hits a stationary body of mass 60kg. If the two bodirs stick together after collision, calculate the magnitude of the velocity with whicj they move.

The cost function of a monopoly firm is TC = 10 + 2Q where TCq is the total cost of producing the quantity. The demand in this market is expressed by the equation Q 14 = 14 – P where P denotes the price. Estimate the profit to be made by the monopolist.

Rocket taxis of the future move about the solar system at half the speed of light. Drivers receive $100.00 per hour as measured by clocks in the taxis. The taxi drivers’ association demands that the pay be based on earth time instead of the taxi time. If their demand is met, by what fraction will their wages change? Would this be beneficial for them or not?

Explain the concept of income elasticity and cross price elasticity. Also explain how the nature of commodity is determined by positive and negative values of income elasticity.

Supposed a truck, 10 - m long travels at a speed of 2.5 x 108 m/s relative to two observers, Ana and Marie. Both observers have a can of orange spray paint, which they fire simultaneously when the respective ends of the truck are directly in front of them. When the truck stops, Ana,


Marie and the truck driver look at the orange paint spots. How far apart are these spots? How would the truck driver interpret the same event while in the moving truck?

A 1-kilometer long train is travelling at a speed of 100 mi/hr. How long is the train as observed by a passenger who was left standing on the platform? Is length contraction observed? Explain your answer briefly.

Operating leverage is the outcome of the capital budgeting, while


financial leverage is the outcome of the capital structure decision. Do you agree? Explain with examples showing their role and importance in


the leveraging.



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