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MATH SOLVE
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Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per month. If the student quits smoking and each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return, how much will she have saved by the time she is 65?
General
4 months ago
Limits question Maths Toppers please answer
General
4 months ago
g A random variable X has a probability density function fX(x) = ? 0.5 sin(x) , 0 ≤ x ≤ π 0 , otherwise Another random variable Y is defined as Y = X + (X − π/2)3 . (a) What are the mean (expected value), variance and standard deviation of X? (b) Plot the function Y = Y (X). What are the minimum and maximum possible values of Y ? (c) From the plot, using only graphical thinking and no equations, what is the shape of the probability density function of Y (i.e., fY (y))? Specifically, how is the shape compared to that of fX(x)? (d) From the plot, using only graphical thinking and no equations, estimate (guess) the expected value and standard deviation of Y (i.e., µY and σY ).
General
4 months ago
What is a density curve? Choose the correct answer below. A. A density curve of a variable represents the approximate distribution of a continuous variable. B. A density curve of a variable is a smooth curve with which one can identify the shape of the distribution of the variable. C. A density curve of a variable is any type of curve which represents the distribution of the variable. D. A density curve of a variable represents the distribution of a discrete variable.
General
4 months ago
PLEASE HELP!!!Order from least to greatest.|-29|, |3|, |0|. |-73|Group of answer choices|-73|, |-29|, |0|, |3|-73, -29, 0, 3|0|, |3|, |-29|, |-73|0, 3, -29, -73Order from least to greatest.1/3, |-1/2|, |-2/3|, -2/3Group of answer choices-2/3, 1/3, |-1/2|, |-2/3||-2/3|, -2/3, |-1/2|, 1/3|-1/2|, -2/3, 1/3, |-2/3||-1/2|, 1/3, -2/3, |-2/3|
General
4 months ago
Consider the following graph of the function f. The x y coordinate plane is given. The function labeled y = f(x) with 5 parts is graphed. The first part is a curve beginning at the open point (−3, 2), goes down and right becoming less steep, changes directions at the approximate point (−1, 1), goes up and right becoming more steep, sharply changes direction at (0, 2), goes horizontally right, and ends at the open point (2, 2). The second part is the closed point (2, 1). The third part is a curve beginning at the open point (2, 2), goes up and right becoming less steep, and ends at the vertical asymptote x = 4. The fourth part is the closed point (4, 2). The fifth part is a curve entering the window at the top of the first quadrant to the right of the vertical asymptote x = 4, goes down and right becoming less steep, and exits the window in the first quadrant just above the x−axis. Find the following one-sided limits. (If an answer does not exist, enter DNE.) lim x→0− f(x) = lim x→0+ f(x) = Determine whether the statement is true or false. lim x→0 f(x) = 1 True False
General
4 months ago
Find (gof)(x) when f(x)=sqrt x+3 and g(x)= x^2+2/x
General
4 months ago
What are the steps for constructing a copy of an angle using only a compass and a straightedge?
General
4 months ago
Consider the two vectors A with arrow = 3 î − ĵ and B with arrow = − î − 2 ĵ. (a) Calculate A with arrow + B with arrow 2 Correct: Your answer is correct. î + -3 Correct: Your answer is correct. ĵ (b) Calculate A with arrow − B with arrow 4 Correct: Your answer is correct. î + 1 Correct: Your answer is correct. ĵ (c) Calculate A with arrow + B with arrow (d) Calculate A with arrow − B with arrow (e) Calculate the directions of A with arrow + B with arrow and A with arrow − B with arrow. A with arrow + B with arrow Incorrect: Your answer is incorrect. Note that tan (θ + 180°) = tan θ so the inverse tangent should give two answers. Your calculator only provides one, so you must draw a careful picture of this vector to check your calculator value.° (counterclockwise from the +x axis) A with arrow − B with arrow ° (counterclockwise from the +x axis)
General
4 months ago
The larger of two numbers is one more than three times the smaller number.If the sum of the numbers is 49, find the numbers.
General
4 months ago
Kyuna has a bunny farm. She starts out with one bunny, and then she buys another. The next year, her bunny population is 3. After another year, she has 5 bunnies. After another year, she has 8. The next year, year 5, she has 13 bunnies. If the number of bunnies Kyuna has s defined by the pattern 1, 1, 2, 3, 5, 8, 13, ..., where 2 is the number of bunnies she has in year 1, how many bunnies will she have in year 10?
General
4 months ago
In History, you earned an exam score of X-85 where the exam average was μ-65 with a standard deviation of σ-5. In Biology, you earned an exam score of X-90 where the exam average was μ י 85 with a standard deviation of σ-10. In which class did you score better compared to your classmates?A. Biology B. No answer text provided.C. You did equally well in both classes. D. History
General
4 months ago
A baseball team consists of 2 stars, 13 starters, and 10 substitutes. For tax purposes, the team owner must value the players. The value of each player is defined to be the total value of the salary he will earn until retirement. At the beginning of each season, the players are classified into one of four categories: Category 1 Star (earns $1 million per year) Category 2 Starter (earns $400,000 per year) Category 3 Substitute (earns $100,000 per year) Category 4 Retired (earns no more salary) Given that a player is a star, starter, or substituteDetermine the value of team's players.
General
4 months ago
The following gives information about the proportion of a sample that agree with a certain statement. Use StatKey or other technology to find a confidence interval at the given confidence level for the proportion of the population to agree, using percentiles from a bootstrap distribution. StatKey tip: Use ‘‘CI for Single Proportion" and then ‘‘Edit Data" to enter the sample information.Find a 90% confidence interval if 112 agree and 288 disagree in a random sample of 400 people.What is the 90% confidence interval? ________, ________
General
4 months ago
Testing to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0.75. a. (3pts) State the Null and Alternative Hypotheses. Also, state the direction of the test Using the following possible sample results: • Sample A: 31 successes out of 40 • Sample B: 34 successes out of 40 • Sample C: 27 successes out of 40 • Sample D: 38 successes out of 40 b. State which of the possible sample results provides the most evidence against the null. Briefly explain (2pts) c. State which (if any) of the possible results provide no evidence for the alternative. Briefly explain (2pts)
General
4 months ago
Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process, the company believes that there has been an increase in the life expectancy of its batteries. A sample of 42 batteries showed an average life of 140 hours. From past information it is known the standard deviation of the population is 24 hours. Test to determine whether there has been an increase in the life expectancy of batteries. What is the test statistic and what conclusion can be made at the.10 level of significance? a. z =.208; Do not reject the null hypothesis b. z =.088; Do not reject the null hypothesis c. z = 1.35; Reject the null hypothesis d. z = 2.33; Reject the null hypothesis
General
4 months ago
One out of every 5000 individuals in a population carries a certain defective gene. A random sample of 1000 individuals is studied. What is the probability that exactly one of the sample individuals carries the gene? What is the probability that none of the sample individuals carries the gene? What is the probability that more than two of the sample individuals carry the gene? What is the mean of the number of sample individuals that carry the gene?
General
4 months ago
Many medical professionals believe that eating too much red meat increases the risk of heart disease and cancer (WebMD website, March 12, 2014). Suppose you would like to conduct a survey to determine the yearly consumption of beef by a typical American and want to use 3 pounds as the desired margin of error for a 99% confidence interval of the population mean amount of beef consumed annually. Use 25 pounds as a planning value for the population standard deviation. How large a sample should be taken?
General
4 months ago
-14x + 11y = 23 7x - 3y = 37 Solve for x and y
General
4 months ago
A circles circumference is 600m. What is a good approximation of the circles area
General
4 months ago
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