A E F G В D Suppose in the picture above 3|AE| = |EC| 2|BD| = |DC| (GAF) = 0.96 (GDC) = 4.8 Then (GBD) = | 2.4 and (GCE) = | .72
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- For the following exercises, use Kepler’s Law, which states that the square of the time, T, required for a planet to orbitthe Sun varies directly with the cube of the mean distance,a, that the planet is from the Sun. 49. Use the result from the previous exercise to determinethe time required for Venus to orbit the Sun if itsmean distance is 108 million kilometers.Use the model we created using technology in Example 6 to predict the gas consumption in 2011. Is this aninterpolation or an extrapolation?Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?
- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600Continued This is a continuation of Exercise 13. As we saw earlier, the stock turnover rate of an item is the number of times that the average inventory of the item needs to be replaced as a result of sales in a given time period. Suppose that a hardware store sells 80 shovels each year. a. Suppose that the hardware store maintains an average inventory of 5 shovels. What is the annual stock turnover rate for the shovels? How is this related to the yearly number of orders to the wholesaler needed to restock inventory? b. What would he the annual stock turnover rate if the store maintained an average inventory of 20 shovels? c. Write a formula expressing the annual stock turnover rate as a function of the average inventory of shovels, identify the function and the variable, and state the units.Harold is going to California over the Easter weekend and takes part in the Rock Festival of the people. He is an optimistic man and intends to sleep in a tent. He is worried about leaks in the tent, but to his great satisfaction, he came across an advertisement for material that the manufacturers claim reduces leakage in tents by spraying it on the outer layer of the tent. He was not convinced but found a study where the material was examined. In the study, leakage in five tents was measured. First, it was measured how much it leaked without the material too much and then how much it leaked after the material was sprayed on the outer layer in each tent. High numbers mean high leakage and low numbers low leakage. It can be assumed that measured leaks follow a normal distribution. The results can be seen below: Harold is also a big fan of R and he performed the following calculations in R: > x<-c(8.6,9.2,7.8,7.2,8.9) > y<-c(6.2,7.2,7.6,8.2,6.1) > mean(x)[1] 8.34 >…
- You think your car’s fuel efficiency is much lower than it should be. The average fuel efficiency of your car that the car manufacturer claim is 27 mpg. Your car’s fuel efficiency is 22 mpg. A). which test would be conducted, z-test or t-test, and why?You conducted an independent-groups experiment on two groups of laboratory rats, each containing 14 rats. Two rats from one condition died during the experiment. What is the total df for your t-test 14 24 26 28Company Size Social Media Use Small Medium Large Yes 78 42 23 No 26 37 22 What is the calculated X2?
- You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats.You sample 90 men, and 45% own cats.You sample 70 women, and 50% own cats.Find ¯pp¯ (p-bar), as a decimal, rounded to two decimal places.You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 190 men, and 20% own cats.You sample 90 women, and 45% own cats.Find ¯pp¯ (p-bar), as a decimal, rounded to two decimal places.
