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MATH SOLVE
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You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll is greater than j. Let E denote the event that the roll of the die is even-numbered. (a) What is P[RsIG1], the conditional probability that 3 is rolled given that the roll is greater than 1? (b) What is the conditional probability that 6 is rolled given that the roll is greater than 3? (c) What is P[GIE], the conditional probability that the roll is greater than 3 given that the roll is even? (d) Given that the roll is greater than 3, what is the conditional probability that the roll is even?
General
3 months ago
In a study of the length of time that students require to earn bachelor’s degrees, 60 students are randomly selected and they are found to have a sample mean of 4.8 years and a sample standard deviation of 2.2 years, construct a 95% confidence interval estimate of the population mean.
General
3 months ago
The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7x1 + 0.55x2, where x1 is the height of the mother and x2 is the height of the father. Use this equation to predict the height of a puppy whose mother is 45.2 inches tall and whose father is 41.6 inches tall.
General
3 months ago
How do I factor-EX 4x^2+7x - 15 = 0
General
3 months ago
Which of the following is a function?1. Input Output Input Output Input Output 2 5 2 4 1 1 3 5 3 6 2 2 4 5 3 8 2 2 5 5 5 10 1 1
General
3 months ago
Simplify a)3/7×28/15÷14/5b)7/8+1/16-1/12
General
3 months ago
A concert organizer anticipates selling 4,000 tickets and that a quarter of these will be sold at 20% reduction of original price. He needs to make $60,000 in ticket receipts. How much must a full price ticket be?
General
3 months ago
The quantity, Q, of a drug in the blood stream begins with 250 mg and decays to one-fifth its value over every 90 minute period. Give the constants a, b, and T so that Q is represented by a function of the form Q=ab^(-t/T), where t is time in minutes after the drug is injected.
General
3 months ago
For a certain examination, a score of 58 was 2 standard deviations below the mean, and a score of 98 was 3 standard deviations above the mean. What was the mean score for the examination?
General
3 months ago
I really dont feel like using my brain today, so here are some easy questions for some points.6 + 3 • 4 =(6 + 3) ÷ (4 – 5) =6 + 2^3 • 3 =
General
3 months ago
the length of a piece of paper is 3.5 inches greater than its width. if the length is 11 inches, which equation can be used to find the width, w? A.) w - 3.5 = 11B.) 3.5 + w = 11C.) w - 11 = 3.5D.) 3.5 = 11 + w
General
3 months ago
Suppose the average cholesterol level of children ages 2-14 is 175 mg/dL with a standard deviation = 30 mg/dL. Recently, doctors have started worrying about elevated cholesterol levels in some children. A study was done to see if there is a familial aggregation of cholesterol levels. Specifically, in families where the father had a heart attack and has elevated cholesterol levels (> 250 mg.dL), is the cholesterol level of the children in such families higher than 175? A group of 100 such children had an average cholesterol level of 207.3 mg/dL. Assume there were no outliers in the data set. Use a standard deviation = 30 mg/dL and find a 99% confidence interval for the average cholesterol level of all children whose father has had a heart attack with cholesterol level above 250. (Please give responses to 3 decimal places)
General
3 months ago
A local concert center reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows. Round the standard deviation to three decimal places to work the problem. A) 0.7967 B) 0.3187 C) 0.2451 D) 0.754
General
3 months ago
-3(n+8)=3 solve for n
General
3 months ago
The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule. (a) What proportion of the students scored at least 25 points on this test, rounded to five decimal places? (b) What is the 42 percentile of the distribution of test scores, rounded to three decimal places?
General
3 months ago
Find all unit vectors that are parallel to the line tangent to the curve y = 2 sin x at the point (π/6, 1). (b) Find the unit vectors that are perpendicular to that tangent line. (c) Sketch the curve y = 2 sin x and the vectors from parts (a) and (b), all starting at the point (π/6, 1).
General
3 months ago
The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:12 am and a late arrival time of 9:46 am. a. After converting the time data to a minute scale, calculate the mean and the standard deviation of the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. What is the probability that a flight arrives late (later than 9:35 am)? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
General
3 months ago
The "Garbage Project" at the University of Arizona reports that the amount of paper discarded by households per week is normally distributed with mean 9.4 lb and standard deviation 4.2 lb. What percentage of households throw out at least 10 lb of paper a week? (Round your answer to one decimal place.) %
General
3 months ago
The length of the day in Boulder (Latitude 40 N) can be modeled approximately by l(t) = −3 cos ( 2π 365 (t + 10)) + 12 where l is given in hours and t is the day of the year. (a) Evaluate l(355); fully interpret the result in the context of this problem, including units. (b) Evaluate l ′ (265); fully interpret the result in the context of this problem, including units. (c) Calculate when l ′ (t) is largest. Explain.
General
3 months ago
Jack and Jill live 126 km apart. They want to leave their homes at the same time,ride their bikes toward each other, meet for lunch at 12:00 PM, and then go climba hill. Jack rides 18 kilometers per hour. Jill rides 24 kilometers per hour. What isthe latest time they can leave their houses and meet on time?
General
3 months ago
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