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Question 4: Probability and Counting Rules for Construction Project Risks (9 marks) 4. A construction team has the following probabilities: P(Delay due to weather) = 0.30 P(Delay due to equipment) = 0.25 P(Both delays on same day) = 0.10 a) What is the probability of at least one type of delay occurring? (2 marks) b) Are the events independent? Justify your answer. (2 marks) c) A 3-member inspection team is to be selected from 5 workers. How many combinations are possible? (2 marks) d) How many different ways can 3 inspection tasks be scheduled in order? (3 marks)

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1. Write a balanced equation for the precipitation reaction between carbon dioxide and calcium hydroxide. 2. Which product is the precipitate?

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Match the correct sentence to the ions. Na$^+$ and K$^+$ Choose... Na$^+$ , K$^+$ , and NH$_4$$^+$ Choose... Ag$^+$ Choose... NH$_4$$^+$ Choose... Cu$^{2+}$ and Bi$^{3+}$ Choose... Choose... Sulfide salts of these ions are considered insoluble. These ions can be tested using the flame test. Produces soluble salts of these ions. The chloride salt is insoluble. This ion tested when the pH increases and releases as a gas.

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18) Find the complex square roots of 49(cos 150° + i sin 150°) Write your answer in polar form. Use degrees for your angles. (6.5)

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One turn of the Calvin Cycle consumes: 1 6 ATP and 9 NADPH 2 9 ATP and 6 NADPH 3 12 ATP 4 15 NADPH

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In which type of city election do voters cast the same number of votes as the number of seats on the council? a. at-large b. cumulative voting c. single-member district d. at-large by place

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when descartes claims that senses are unreliable sources of knowledge, what branch of philosophy studies these sort of claims?

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Three identical point charges each of charge q are located at the vertices of an equilateral triangle as in the figure shown below. The distance from the center of the triangle to each vertex is a. (a) Show that the electric field at the center of the triangle is zero. (Submit a file with a maximum size of 1 MB.) This answer has not been graded yet. (b) Find a symbolic expression for the electric potential at the center of the triangle. (Use any variable or symbol stated above along with the following as necessary: $k_e$ for the Coulomb's constant.) $V = \frac{3k_eq}{a}$ (c) Give a physical explanation of the fact that the electric potential is not zero, yet the electric field is zero at the center.

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expressions written by the students are equivalent? REFLECT How can we verify that all of the In this investigation, you explored multiple ways of seeing a growing perimeter pattern. These questions will help you summarize and extend what you learned. Here's another sequence of pattern block figures investigated by 7th and 8th graders (Bishop, 2000). Note that the side length of each square and each equilateral triangle is one unit. Figure 1 Figure 2 Figure 3 Study the figures and write your own expression for the perimeter of the $n^{th}$ figure. Describe how each student might have counted the sides of the figures to arrive at these expressions for the perimeter of the $n^{th}$ figure. a) $(n+3)+n$ b) $2(n-1)+2+3$ c) $n \times 2+1+1+1$ d) $n \times 3-(n-3)$

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Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. After 20 days, you have a balance of $0.05. How many snacks did you buy? You bought snacks.

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