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MATH SOLVE
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Use 90°<θ<180° and sin θ=24/25 to answer the following questions. What is cos θ?
General
2 months ago
20 feet of ribbon, cutting ribbon into 7 1/2 inches or 6 3/4 inch lengths to make bracelets. Write an algebraic expression that can be use to figure out how many bracelets can be made.How can you change above expression is you want to figure out how many feet of ribbon needed to make 100 bracelets.
General
2 months ago
The secretary in Exercises 2.121 and 3.16 was given n computer passwords and tries the passwords at random. Exactly one of the passwords permits access to a computer ﬁle. Suppose now that the secretary selects a password, tries it, and—if it does not work—puts it back in with the other passwords before randomly selecting the next password to try (not a very clever secretary!). What is the probability that the correct password is found on the sixth try?
General
2 months ago
car as the following utility function: U(X,Y)equals10Upper X squaredY where X is her consumption of Blu-ray disks with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods. Determine the number of Blu-ray disks and DVDs that will maximize Cary's utility. Cary maximizes utility when she consumes nothing Blu-ray disks and nothing DVDs. (Enter your responses using integers.)
General
2 months ago
Consider the population of voters described in Example 3.6. Suppose that there are N = 5000 voters in the population, 40% of whom favor Jones. Identify the event favors Jones as a success S. It is evident that the probability of S on trial 1 is .40. Consider the event B that S occurs on the second trial. Then B can occur two ways: The ﬁrst two trials are both successes or the ﬁrst trial is a failure and the second is a success. Show that P(B) = .4. What is P(B| the ﬁrst trial is S)? Does this conditional probability differ markedly from P(B)?
General
2 months ago
will mark brainliest (simple algebra) Write an equation and graph the line given the point: (-4, -6) and slope: 5
General
2 months ago
2. In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000. Female earnings have a mean of $45,000 per year and a standard deviation of $18,000. The correlation between male and female earnings for a couple is 0.80. Let C denote the combined earnings for a randomly selected couple. What is the mean of C?
General
2 months ago
. (25 points) Suppose the probability of exposure to the flu during an epidemic is 0.6. A vaccine is 80% successful in preventing an inoculated person from acquiring the flu, if exposed to it. A person not inoculated faces a probability of 0.9 of aquiring the flu, if exposed to it. Define the probability of at least one will be flue for a randomly selected person.
General
2 months ago
P(A) = 0.3, P(B) = 0.7 (a) Can you compute P(A and B) if you only know P(A) and P(B)?(b) Assuming that events A and B arise from independent random processes, i. what is P(A and B)?ii. what is P(A or B)?iii. what is P(A|B)?(c) If we are given that P(A and B) = 0.1, are the random variables giving rise to events A and B indepen-dent?(d) If we are given that P(A and B) = 0.1, what is P(A|B)?
General
2 months ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.61 millimeters and a standard deviation of 0.04 millimeters. Find the two diameters that separate the top 7% and the bottom 7%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
General
2 months ago
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three sides by a metal fence costing $10/ft. If the area of the garden is 122 square feet, find the dimensions of the garden that minimize the cost.
General
2 months ago
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion.(a)State the null and alternative hypothesis. (Enter != for ≠ as needed.)H0:_____________Ha:__________(b)Find the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =___________.
General
2 months ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447 gram setting. It is believed that the machine is underfilling the bags. A 19 bag sample had a mean of 443 grams with a standard deviation of 21. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
General
2 months ago
An elementary school art class teacher plans to display artwork next to the door of each of the classrooms in the school. Each classroom door will only have one piece of artwork displayed, and the school has 22 such doors. If the teacher has 12 sketches and 16 oil paintings, what is the probability that 10 sketches and 12 oil paintings are chosen to be displayed?
General
2 months ago
Flip a coin 100 times. We want the chance of getting exactly 50 heads. What is the exact probability, correct to six decimal places? What is the Normal approximation of the probability, to six decimal places?
General
2 months ago
Consider a credit card with a balance of $8500 and an APR of 15.99%. In order to pay off the balance in 3 years, what monthly payment would you need to make?
General
2 months ago
If two dice are thrown, and you sum the digits. What number has the highest probability of appearing?
General
2 months ago
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is μ = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 2.9. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.What is the value of the sample test statistic? (Round your answer to three decimal places.)
General
2 months ago
An electric scale gives a reading equal to the true weight plus a random error thatis normally distributed with mean 0 and standard deviation s = .1 mg. Supposethat the results of five successive weighings of the same object are as follows: 3.142,3.163, 3.155, 3.150, 3.141.(a) Determine a 95 percent confidence interval estimate of the true weight.(b) Determine a 99 percent confidence interval estimate of the true weight.
General
2 months ago
for two weeks the highest temperature each day was recorded in four different cities lines l,m,n, and p are graphs of the temperature over time in Lubbock, Memphis, New Orleans, and phoenix which statement is true
General
2 months ago
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