Numerade

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A football coach finds that player run times for a 50-meter dash are normally distributed. A new player runs a time with a z-score of 1.8. What does this result indicate? The player's run time was Pick the average

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Question 8 [3 marks] Convert the following integral into rectangular coordinates of the order $ d z d y d x $. \[ \int_{0}^{\pi} \int_{0}^{\sin \theta} \int_{r^{2}}^{2 r \sin \theta} r d z d r d \theta \] Do not evaluate the integral.

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The pregnancy rates among adolescents have continually decreased since the 1970s in Canada. However, contrastingly, the rates of STis (notably Chlamydia and Gonorrhea, in both teens and young adults have continually increased. Using what you have learnt please hypothesize why this might be, and give justification for both teens and university students.

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Which of the following expenses is allowed to be deducted as a business expense? Group of answer choices Penalty incurred related to violation of environmental regulations Lobbying expenses incurred to influence the federal government Expenses for taking a client to the ball game Interest expense paid on financing used to purchase a corporate bond

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3. A factory produces metal rods whose lengths are normally distributed with a mean length of 50 cm and a standard deviation of 2 cm. Suppose you randomly select a sample of 100 rods. (a) What is the expected value of the sum of the lengths of these 100 rods, assuming each rod was exactly 50cm? (b) In reality, the rods are not all exactly 50cm, so each sample will have a sum that differs from the value you found in part (a). What is the standard deviation of the sum of the lengths of these 100 rods? (c) Does the central limit theorem for means apply in this problem? Why or why not? (d) Using the Central Limit Theorem, find the probability that the total length of the 100 rods is less than 4980 cm.