Mathematics for Elementary Teachers with Activities (5th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 5.1, Problem 1P

a. Anita had 1 2 of a bag of fertilizer left. She used 3 4 of what was left. What question about Anita’s fertilizer can be answered by calculating 3 4 . 1 2 ?

b. Hermione wants to make 4 batches of a potion. Each batch of potion requires 2 3 cup of toober pus. What question about the potion will be answered by calculating 4 2 3 ?

c. There were 6 piece of pizza left. Tommy ate 3 4 of them. What question about the pizza can be answered by calculating 3 4 .6 ?

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(b) An otherwise fair six-sided die has been tampered with in an attempt to cheat at a dice game. The effect is that the 1 and 6 faces have a different probability of occurring than the 2, 3, 4 and 5 faces. Let θ be the probability of obtaining a 1 on this biased die. Then the outcomes of rolling the biased die have the following probability mass function. Table 1 The p.m.f. of outcomes of rolls of a biased die Outcome 1 2 3 4 5 6 Probability θ 1 4 (1 − 2θ) 1 4 (1 − 2θ) 1 4 (1 − 2θ) 1 4 (1 − 2θ) θ (i) By consideration of the p.m.f. in Table 1, explain why it is necessary for θ to be such that 0 < θ < 1/2. [2] (ii) The value of θ is unknown. Data from which to estimate the value of θ were obtained by rolling the biased die 1000 times. The result of this experiment is shown in Table 2. Table 2 Outcomes of 1000 independent rolls of a biased die Outcome 1 2 3 4 5 6 Frequency 205 154 141 165 145 190 Show that the likelihood of θ based on these data is L(θ) = C θ395 (1 − 2θ) 605 ,…
Problem: The probability density function of a random variable is given by the exponential distribution Find the probability that f(x) = {0.55e-0.55 x 0 < x, O elsewhere} a. the time to observe a particle is more than 200 microseconds. b. the time to observe a particle is less than 10 microseconds.
How to solve it explain it step by step please

Chapter 5 Solutions

Mathematics for Elementary Teachers with Activities (5th Edition)

Ch. 5.1 - Write a simple word problem for 23.45=? Use your...Ch. 5.1 - One serving of Gooey Gushers provides 12% of the...Ch. 5.1 - a. Write a word problem for 212.312=? b. Use math...Ch. 5.1 - Manda says that 323.215.=3.2+25.15 Explain why...Ch. 5.1 - a. Write an expression that uses both...Ch. 5.1 - a. Write an expression that uses both...Ch. 5.1 - To understand fraction multiplication thoroughly,...Ch. 5.1 - To understand fraction multiplication thoroughly...Ch. 5.1 - The liquid in a car’s radiator is 75% water and...Ch. 5.1 - * You are holding a yellow flask and a read flask....Ch. 5.1 - Discuss why we must develop an understanding of...Ch. 5.1 - Explain in your own words why multiplication means...Ch. 5.2 - Write and solve your own word problem for...Ch. 5.2 - Write a word problem for 1.32.79. Solve your...Ch. 5.2 - Leah is working on the multiplication problem...Ch. 5.2 - Run used a calculator to determine that...Ch. 5.2 - When we multiply 0.483.9, we first multiply as if...Ch. 5.2 - Suppose you multiply a decimal that has 2 digits...Ch. 5.2 - Suppose you multiply a decimal that has M digits...Ch. 5.2 - Explain how to write 1.89 and 3.57 as improper...Ch. 5.2 - A Shampoo Problem: A bottle contains 25.4 fluid...Ch. 5.2 - Determine the area of the rectangle in Figure 5.12...Ch. 5.2 - Determine the area of a 1.7-until-by-3.1-unit...Ch. 5.3 - Explain the following in your own words. Explain...Ch. 5.3 - For each of the following cases, either explain...Ch. 5.3 - For each of the following cases, either explain...Ch. 5.4 - Write the following numbers as powers of 10:...Ch. 5.4 - a. The winnings of a lottery were $250 million....Ch. 5.4 - Write the following numbers in scientific...Ch. 5.4 - Prob. 4PCh. 5.4 - Tanya says that the one digit of 259 is a 5...Ch. 5.4 - Is 2107 equal to 27? Is 1109 equal to 19? If not,...Ch. 5.4 - Calculate 8123,456,123,456 using a calculator....Ch. 5.4 - Let’s say that you want to write the product...Ch. 5.4 - Light travels at a speed of about 300,000...Ch. 5.4 - According to scientific theories, the solar system...Ch. 5.4 - Suppose that a laboratory has 1 gram of a...Ch. 5.4 - Suppose you multiply a 6-digit number by an...
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