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Three lottery tickets for first, second, and third prizes are drawn from a group of 45 tickets

the mean weight of baggage of 25 passengers from USA bound for the Philippines is 31.8 kilos with a variance of 16. test the claim that the population mean baggage weight is equal to 30 kilos at 0.01 level of significance. Assume that the population is normally distributed. The t value is 2.492






paul is standing at the top of an escalator and lily is standing at the bottom. Their vertical distance is 4.5 m and the angle of elevation of paul from lily is 20 degrees. Find the horizontal distance between them


Find the KE of a 500-g object after 1.0 meter of its fall from the top of a building. And construct the free-body diagram?


What is the velocity of a 0.03 kg bullet that has a KE of 3750 J when fired from a rifle?And construct the free-body diagrams?


An RC circuit have a 9V source and lies at 54seconds of the time constant. Then find the voltage across a capacitor after 150 3.6 seconds of charging.


A 50-kg cavan of rice is pulled along a 10-m horizontal ramp with a force of 750 N. If it is dragged from end to end of the ramp and if the u = 0.40, how much work is done on the load?


2. Average Senior High School annual cost of tuition fee for all private schools last year was Php43,700. A random sample of costs this year for 45 private schools indicated that the sample mean was Php45,800 and a sample standard deviation was Php5,600. At 0.01 level of significance, is there sufficient evidence to conclude that the cost increased? Solution: Step 1: State the hypothesis. 𝐻0: _____________________________________________________________ 𝐻1: _____________________________________________________________ Step 2: The level of significance and critical region. 𝛼 = ________ and the 𝑧𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 = __________ Step 3: Compute for the value of one sample t test. 𝑧𝑐𝑜𝑚𝑝𝑢𝑡𝑒𝑑 = _______ Step 4: Decision Rule. ________________________________________________________________ ___________________________________. Step 5: Conclusion: _______________


A gas occupies a volume of 400.0 ml at 29⁰C and 1.15 atm if the pressure is held constant by how much should the temperature be decreased so that the volume decreases to 361.6 ml


A quarterback throws a football to a stationary receiver 31.5m away from him. If the football is thrown at an initial angle of 40° to the ground, at what initial speed must the quarterback throw the ball for it to reach the receiver?

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