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Solve these recurrence relations together with the initial conditions given. a) an= an−1+6an−2 for n ≥ 2, a0= 3, a1= 6 b) an= 7an−1−10an−2for n ≥ 2, a0= 2, a1= 1 c) an= 6an−1−8an−2for n ≥ 2, a0= 4, a1= 10 d) an= 2an−1−an−2for n ≥ 2, a0= 4, a1= 1 e) an= an−2for n ≥ 2, a0= 5, a1= -1 f) an=− 6an−1−9an−2for n ≥ 2, a0= 3, a1= -3 g) an+2 = -4an+15anfor n ≥ 0, a0= 2, a1= 8
General
2 months ago
The chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. For example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3. The probability of winning an instant prize game is one tenth . The odds of winning a different instant prize game are 1:10. If you want the best chance of winning, which game should you play? Explain your reasoning.
General
2 months ago
Which of the following would be the best interpretation of 99% confidence? If we were to take 100 samples, then approximately 95 would contain the true value of the mean and approximately 5 would not. If we were to take 100 samples, then approximately 99 would contain the true value of the mean and approximately 1 would not. If we were to take 100 samples, then exactly 99 would contain the true value of the mean and 1 would not. There is a 99% probability that the confidence interval contains the true value of the mean. None of the above.
General
2 months ago
Students attending an international event were asked if they can speak Arabic or Chinese. 25% speak Arabic, 20% speak Chinese, 10% speak both languages. Phrase each of the following in terms of the events, A: Arabic and C: Chinese (using Complement, Intersection, Union). Assume random selection of one student: a. What is the probability that the student can speak Chinese or Arabic? b. What is the probability that the student cannot speak either Chinese or Arabic?
General
2 months ago
You throw a ball straight up from a rooftop 100 feet high with an initial speed of 112 feet per second. The function s (t )equals negative 16 t squared plus 112 t plus 100 models the ball's height above the ground, s (t )comma in feet, t seconds after it was thrown. During which time period will the ball's height exceed that of the rooftop?
General
2 months ago
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 264 days and a standard deviation of 10 days. a) What is the minimum pregnancy length that can be in the top 9% of pregnancy lengths? b) What is the maximum pregnancy length that can be in the bottom 7% of pregnancy lengths?
General
2 months ago
A random sample of 10 recent college graduates found that starting salaries for accountants in New York City had a mean of $47,589 and a standard deviation of $11,364. There are no outliers in the sample data set. Construct a 95% confidence interval for the average starting salary of all accountants in the city.A. (40545.52, 54632.48)B. (39460.25, 55717.75)C. (39582.43, 55595.57)D. (39020.54, 56157.46)
General
2 months ago
The quarterly returns for a group of 6161 mutual funds are well modeled by a Normal model with a mean of 6.16.1% and a standard deviation of 2.72.7%. Use the 68-95-99.7 Rule to find the cutoff values that would separate the following percentages of funds, rather than using technology to find the exact values. a) the highest 5050% b) the highest 1616% c) the lowest 2.52.5% d) the middle 6868%
General
2 months ago
I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!!!!!Which set represents a Pythagorean triple?A. 60,70,100B. 18,24,30C.10,14,17D. 10,20,30
General
2 months ago
Graph a line with a slope of -2/5 that contains the point (-3,5)
General
2 months ago
At the beginning of an experiment, there are 400 grams of contaminants. Each hour, three-fourths of the contaminants are filtered out.A. Formulate a recursive sequence modeling the number of grams after "n" hours.B. Use the model to calculate the amount of contaminants after the third hour of the experiment.
General
2 months ago
Scott puts some sports stickers in rows. He makes 6 rows with 5 stickers in each row. If he puts the same number of stickers in 5 equal rows, how many stickers would be in each row?
General
2 months ago
Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.Carla pays $9.44 for 4 magazines, and she pays $21.24 for 9 magazines.The equation below represents the amount of money Brandon pays for x magazines.y = $2.87xWho pays more per magazine? A. Brandon and Carla pay the same price per magazine. B. Carla pays more per magazine. C. Brandon pays more per magazine. D. There is not enough information to determine the price per magazine.
General
2 months ago
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis. For every 3 kiwis, there are 4... A) Bananas B) Oranges C) Apples
General
2 months ago
Use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1. The vertex is the . The function is increasing . The function is decreasing . The domain of the function is . The range of the function is
General
2 months ago
The graph shows the distances traveled by two hikers over several hours.A graph measuring distance and time. Two lines, labeled Hiker A and Hiker B, exit the origin to show that distance increases as time increasesWhich hiker is moving at a faster rate?Select from the drop-down menu to correctly complete the statement.Hiker is moving at a faster rate.
General
2 months ago
the table represent a linear functionX Y -2 -2-1 10 41 7 2 10 what is the slope of the function? -3 -2 3 4
General
2 months ago
What type of number is -12.123 repeating? Choose all that apply.Whole number Integer RationalIrrational
General
2 months ago
What are the sine, cosine, and tangent of 5 pi over 4 radians?
General
2 months ago
estimate 102.3 divided by 4.7
General
2 months ago
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