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Q1: Perform the following mathematical operation and then report the answer. 1,052-218.3=See Answer
Q2: The sum of the first ten terms of an arithmetic sequence is 120 and the sum of the first twenty terms is 840. Find the sum of the first thirtyterms.See Answer
Q3:10. Construct a proof of the following theorem: (¬P V Q) → (Q → P).See Answer
Q4:Applications 11: Exponential and Logarithmic Equations 1. Finance Sung Lee invests $5,000 at age 18. He hopes the investments will be worth $10,000 when he turns 25. If the interest is compounded continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation? Why or why not? 2. Sound The formula for measuring sound intensity in decibels D is defined by the 1D = 10log(+), where I is the intensity of the sound, in watts per -12 W square meter, and I = 10 is the lowest level of sound that the average person can hear. What is the intensity of a hair dryer that makes a sound of 90dB? equation mSee Answer
Q5:On a bicycle, Kiara rides for 3 hours and is 29 miles from her house. After riding for 6 hours, she is 56 miles away. What is Kiara's average rate over the last 3 hours of her trip? miles per hourSee Answer
Q6:Find the average rate of change of f(x) = 2x² - 6 on the interval [2, t]. Your answer will be an expression involving tSee Answer
Q7:5. (20 pts) A conjecture is a statement which is probably true but has not been proved or disproved. In this problem, we will "discover" a conjecture. a) (5 pts) Start with any positive integer. If it is even, divide by 2. If it is odd, multiply by 3 and add 1. So, we have a new integer, use the same rule to generate the next integer. Repeat and record the sequence of integers until it is natural to stop. b) (5 pts) Repeat part (a) with another initial positive integer. c) (10 pts) Write down a conjecture based on your observation in parts (a) and (b). Feel free to do more experimentation.See Answer
Q8:Assignment brief Paul and Jenny have a whole number of pounds. Paul says to Jenny: 'If you give me £3, I will have n times as much as you.' Jenny says to Paul: 'If you give me £n, I will have 3 times as much as you. You are given that all these statements are true and that n is a positive integer. 1. Determine an equation for the number of pounds that Jenny has in terms of n. 2. By using long division, or otherwise, on the result in (1) show that n ≤ 7. 3. Hence, by examine cases, determine the values of n for which there is a solution to this problem and in each of these cases the number of pounds Paul and Jenny have.See Answer
Q9: 1) The distribution of blood types for 100 Americaus is listed in the table. If one donor isselected at random, find the probability of sclecting a person with blood type AB+. 2) An automobile company has 4 Art (Ford, GM, Honda, and Mcrcedes) each of which can bemade with midsize or compact. There are 7 color (white, black, blue, green, yeliow, andsilver, red) patterns available. How many different shirts are available from this company? 1. Use the tree diagram 2. Use the fundamental Counting principle 3) Classify the statement as an example of classical probability, empirical probability, or subjective probability. a) The probability that a Herat-operation will be success is 70%. b) in selecting billiard balls, each colored ball has an equal chance of being chosen. 4) Which of the following cannot be a probability? A) -0. 43В) 0.0002 C) 85% D) 1 5) Classify the events as dependent or independent. Events A and B where P(A) = 0.3, P(B) 0.6, and P(A and B) = 0.18 6) Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is selected at random. A: The set of odd number. B: The set of even number.See Answer
Q10: 1) Find the probability of selecting three consecutive ace when three cards are drawn withoutreplacement from a standard deck of 52 playing cards. 2) A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the card is black or king 3) A 10-sided die, numbered 1 to 10, is rolled Find the probability that the roll results in an odd number or greater than 6 4) The following table shows the number (in thousand) of earned degree by level and gender,conferred in Qatar last year. A person who carned a degree last year is selected. Find the probability of the selecting someone who a) Earned an Associate's degree b) Earned an Associate's degree, given that the person is male c) Earned a Master'sdegreeor a Bachelor's degree d) Earned doctorate and is a fernale e) Earned Associate and doctorate degreeSee Answer
Q11: 2. (30 Points) Translate the following statements into an equation or inequality, thensolve them. Present the inequalities in graphical and interval notation as well. (a) Twice a number is six more than half that same number. (b) The sum of half a number and 3 is less than 7 more than that same number. (c) The distance between twice a number and 4 is less than 6.See Answer
Q12: 12. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part ofyour response as Part A, Part B, and Part C. Part A: Raul purchased a new laptop that was on sale for 15% off the original price. If Raul paid $865.29 for the laptop, what was the original price? Round answers the nearest cent. Part B: Raul had a coupon for 12% off, which he used to purchase a wireless keyboard and mouse combination at a total cost of $40.99. Calculate the cost of the keyboard and mousebefore the coupon. Part C: The percent decrease formula is B -P1-R'where R is the base, P is the part, and R is the rate.See Answer
Q13: 5)If the probabilities of each economic condition are 0.5, 0.1, 0.35, and 0.05,respectively, what is the expected value of perfect information?(5)See Answer
Q14: 9. A work-at-home employee earns $0.15 per envelope that she addresses. If the employee addressed 246 envelopes in one day, what were her gross earnings for the day? See Answer
Q15: (a) Find the volume of the region that lies inside z = x2 + y² and below the plane z = 16.[6 marks] ) Solve the following differential equations subject to the given conditions: \text { (i) } v \frac{d v}{d x}=\frac{3}{(x+1)^{2}}, \text { with } v=2 \text { when } x=0 =) Solve the following integral problem: \int \frac{2 x+10}{x^{2}-2 x-3} d x 2 x y+\left(x^{2}+1\right) \frac{d y}{d x}=x \cos \left(x^{2}\right), \text { with } y=5 \text { when } x=0See Answer
Q16: 2. Determine if the lines given by the equations y = 3x - 5 and 6x-2y = 7 are parallel, perpendicular, or neither.Justify your response.See Answer
Q17:Convert 0.0134 L to milliliters. Use only the metric system.See Answer
Q18: Jerry purchased a new TV for $399.35. The sales tax was 3.2%. What was the total amount that he paid for the TV? See Answer
Q19: 2) A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. What proportion of the participants die before they reach the age of 65? (6)See Answer
Q20: A child learning to save money invested a capital of $ 250 at a nominal rate of 0.0825 with simple interest. If he earned $ 11.98 at the maturity date, how many days was the term of the deposit? Round to the nearest one.See Answer

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