DO NOT USE A CALCULATOR FOR THE FOLLOWING PROBLEMS UNLESS DIRECTED TO DO ... Determine whether the function that models each data is linear or quadratic without using a calculator. ... Write an equation for the parabola.
lO(IOS). 2 : So 3. 18 = b, ++ le = b,. 9. The circumference of a circle is 40 m inches. Find the area of this circle. 10. Find the area of the composite figure. Use.
How did Andrew Jackson reward some of his supporters? 10. In the early 1800s, Northerners supported tariffs because they helped them compete with what?
Graph the rational function. 8) f(x) = -. 1 x - 4 x. -6. -4. -2. 2. 4. 6 y. 6. 4. 2. -2. -4. -6 x. -6. -4. -2. 2. 4 ... 25) A bacteria colony doubles in 7 hr. How long does it take ...
Chapter 10 Review > Name. Mole Conversions. Think of the following diagram as the âroadmapâ for converting from grams to moles to particles ... electronegativity and atomic radius '. Ch.7-9 â know how to name and write formulas for covalent and
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a) 1.50 mol of aluminum sulfide b) 1.91 x 10. 23 molecules of benzene, C6H6. 4) Calculate the volume of the following gases: a) 4.29 mol of nitrogen dioxide.
costs of attending the first year of a four-year undergraduate program ... How much more will Mary pay in interest on a 36-month loan than on a 24-month loan? ... 9.25. 127.38. 36. 9.75. 109.31. Age of Class Members. 10. 15. 19. 15. 29. 25. 20.
a) an even number or a number less than 5 ... 4) A jar contains 7 green, 19 black, and 13 pink marbles. A ... 6) You flip a coin and toss a 1-6 number cube.
What was the cause of the rising sense of nationalism that occurred in America in the early 1800s? The Era of Good Feelings. 5. The Cumberland Road was the ...
(c) Credit Unions: Share Draft Accounts. (d) Demand deposits at Mutual Savings Banks. B. M2. 1. A broader definition of the money supply that includes money in somewhat less liquid form. 2. M2 = M1 + overnight repurchase agreement and overnight Eurod
(d) Demand deposits at Mutual Savings Banks. B. M2. 1. A broader definition of the money supply that includes money in somewhat less liquid form. 2. M2 = M1 + overnight repurchase agreement and overnight Eurodollar deposits + money market deposit acc
Find the seventh term of the arithmetic sequence in which a1 = 3 and d = 5. F 33. G 38 ... 7. Find the next two terms of the geometric sequence 567, 189, 63 … ... Find ∑ 3 · 2 − 1. 4 ... Find the sum of the infinite geometric series 12 + 6 + 3 + …,
4. 8. 5. 7 6. 3. A game at the state fair has a circular target with a radius of 12 centimeters on a ... Express your answer to 4 significant (non zero) decimal places.
Solve the problem. 11) The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.08t where k is a ... Use the equation to determine when the population will reach 150. (Round to the n
9. 4. 8. 5. 7 6. 3. A game at the state fair has a circular target with a radius of 12 centimeters on ... Express your answer to 4 significant (non zero) decimal places.
Holt Hotteugal Geometry. 8. The base and the height of a right triangle ' base 12 cm and height 18 cm are multipiied by. You o, (5)1â?- 9. A square has vertices (â4, -1). (t, â1). (t, 4), and (â4. 4). It you multiply the class-work - Due befo
We also learn a topic that will prove helpful in calculus- partial fraction decomposition. 7.1a. Solving systems of two equations I. Assignment p 573 15, 17, 21-29 ...
notes and worksheets, software. CHEM.A.2.2.1. CHEM.A.2.2.3. CC.3.5.11-12.G. Periodic Law. Approved textbook. Teacher selected laboratories supporting course content, appropriate videos, internet resources, teacher demos, probeware, teacher prepared n
Find the formula for the area of trapezoid ABCD by using the. Area Addition Postulate. A. B. C. D. Given Information: â¢ ABCD is a trapezoid. â¢ The bases are AB ...
Compare the simple interest and compound interest earned in Exercises 1 and 2. Which earned more? ... 4. $3,600 is deposited in to an account that earns 4. 1. 2. % compound interest annually for 4 years. Calculate the interest earned. Round to the ne
Chapter 10 Review Worksheet. Directions: Please complete on a separate piece of paper. Answer any non-math problems in complete sentences. This will be graded on correctness and not completeness. 1. Ethanol has a specific heat of 2.44 J/gâ¢Â°C. What
Write the first four terms of the sequence defined by the recursion formula. ... use the formula for an to find the indicated term of the sequence. 3) Find a18; 0, 11, 22, ... 18) A restaurant offers a choice of 5 salads, 9 main courses, and 3 desser
Probability of an event is a number between _________ and_________ that indicates the likelihood the event will occur. Theoretical probability is defined as P ( A) = _______________________________________. Experimental probability is defined as P ( A) = _______________________________________. 1. You roll a six-sided die 25 times. A 4 is rolled 6 times.
Express your answer as a fraction.
a. What is the theoretical probability of rolling a 4?
b. What is the experimental probability of rolling a 4?
2. You have an equally likely chance of spinning any value on the the spinner. Find the probability of spinning the given event. Express your answer as a fraction. a. A prime number is chosen.
b. A multiple of 15 is chosen.
12 1 11 10
c. A multiple of 4 is chosen.
d. A single-digit number is chosen.
e. A factor of 36 is chosen
f. An odd number or a perfect square
3. A game at the state fair has a circular target with a radius of 12 centimeters on a square board
measuring 30 centimeters a side, as shown. Players win if they are able to throw a dart and hit the circular area only. a. What is the probability that a dart will hit the circular region?
b. What is the probability that a dart will hit the square region that is outside the circle?
c. In order for a player to win a prize, that player must hit the circular region with 3 consecutive darts (darts removed after each toss).
What is the probability of a player winning a prize?
Two events are independent if the occurrence of one has ___________ effect on the occurrence of the other. Problems would say, “Find P(A and B) with replacement”. If A and B are independent events, then the probability that both A and B occur is defined as
P ( A and B ) = _____________________________________
Two events are dependent if the occurrence of one __________________________the occurrence of the other. Problems would say, “Find P(A and B) without replacement”. If A and B are dependent events, then the probability that both A and B occur is defined as P ( A and B ) = __________________________________
4. State whether the events are independent or dependent. a. You select a marble and then choose a second marble without replacing the first marble.
c. Your teacher chooses one student to lead a group and then chooses another student to lead a different group.
b. You roll a number cube and spin a spinner.
d. You reach into your sock drawer, pull out a sock without looking, and put it on. Then you reach back into the drawer, pull out another sock without looking, and put that one on.
5. Find the probability of drawing the given cards from a standard 52-card deck (a) with replacement and (b) without replacement. Express your answer to 4 significant (non zero) decimal places.
a. a face card, then an ace i.
b. a king, then another king, then a third king ii.
6. A jar contains 12 green marbles, 10 blue marbles, and 8 yellow marbles. Find the probability of choosing the given marbles from the jar (a) with replacement and (b) without replacement. Express your answer to 4 significant (non zero) decimal places. a. green, then green, then blue i.
b. green, then blue, then yellow ii.
7. Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B. Express your answer to 4 significant (non zero) decimal places.
Are the two events independent or dependent?
2 events are overlapping if the events have______ or _________ common members.
2 events are disjoint if the events have___________ common members.
The formula for the probability of overlapping events is:
The formula for probability of disjoint events is:
P( A or B) = ________________________________.
P( A or B) = ________________________________.
8. An Educational Advisor estimates that there is a 90% probability that a freshman college student will take either a mathematics class or an English class, with an 80% probability that the student will take a mathematics class and a 75% probability that the student will take an English class. What is the probability that a freshman college student will take both a mathematics class and an English class? Write down the formula that you use. SHOW ALL WORK.
9. You are performing an experiment to determine how well pineapple plants grow in different soils. Out of the 40 pineapple plants, 16 are planted in sandy soil, 18 are planted in potting soil, and 7 are planted in a mixture of sandy soil and potting soil. What is the probability that a pineapple plant in the experiment is planted in sandy soil or potting soil? Write down the formula that you use. SHOW ALL WORK.
10. You roll a die. Find P(A or B). Write down the formula that you use. SHOW ALL WORK. a. Event A: Roll a 2.
Event B: Roll an odd number.
b. Event A: Roll an even number.
Event B: Roll a number greater than 3.
The set of all outcomes in the sample space that are not in E is called the ____________________________________ of event E. It is defined as P(not E) = _____________________________________. 11. You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find the probability of drawing a marble that is not yellow. (Use complements to find the answer.) Express your answer as a fraction.
12. A card is randomly drawn from a standard 52-card deck. Find the probability of the given event using COMPLEMENTS. Express your answer as a fraction and as a decimal rounded to three places.
a. not an ace
b. not a diamond
13. In a survey, 8 people exercise regularly and 22 people do not. Of those who exercise regularly, 1 person felt tired. Of those that did not exercise regularly, 6 person felt tired. 2-WAY FREQUENCY TABLE a. Organize these results in a two-way frequency table. b. Then find and interpret the marginal frequencies.
c. Now make a two-way relative frequency table that shows the joint and marginal relative frequencies. Use this table to answer the questions.
2-WAY RELATIVE FREQUENCY TABLE
d. What is the probability that a randomly chosen person surveyed exercise regularly and felt tired? Total
e. What is the probability that a randomly chosen person surveyed did not exercise regularly and did not feel tired? Total
You may answer these questions using either of the above tables. f. The questions below represent ___________________________ probabilities. These are a bit more difficult than problems d and e. g. What is the probability that a randomly chosen person surveyed did not feel tired, given that he/she exercised regularly?
h. What is the probability that a randomly chosen person surveyed did not exercise, given that he/she felt tired?
14. For financial reasons, a school district is debating about eliminating a Computer Programming class at the high school. The district surveyed parents, students, and teachers. The results, given as joint relative frequencies, are shown in the two-way table. a. What is the probability that a randomly selected parent voted to eliminate the class? Response
b. What is the probability that a randomly selected student did not want to eliminate the class?
15. A football team scores a touchdown first 75% of the time when they start with the ball. The team does not score first 51% of the time when
their opponent starts with the ball. The team who gets the ball first is determined by a coin toss. What is the probability that the team scores a touchdown first? Create a probability tree diagram and then determine the probability that a randomly selected person is correctly diagnosed by the test. (Be sure to spread out the first set of branches sufficiently in order to have room for the second set of branches.)