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Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (2,1) and arrived in the Iron Hills at the point with coordinates (3,5). If he began walking in the direction of the vector v=4i+2j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn.
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2 months ago
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 334 people entered the park, and the admission fees collected totaled 876.00 dollars. How many children and how many adults were admitted? Your answer is number of children equals number of adults equals
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2 months ago
A researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of $30. Past studies suggest that a population standard deviation of $248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.A. 274B. 284C. 264D. 272
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2 months ago
11 What is the solution to the system ofequations?to maleve doida(2x - 5y +z = 53x + 2y -z = 174x - 3y + 2z = 17ABC65-12-29(5, 1, 0)(9,-1,-8)D(0, 1, 5)
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2 months ago
A tour bus normally leaves for its destination at 5:00p.m. for a 378 mile trip. This week however, the busleaves at 6:00 p.m. To arrive on time, the driver drives 9 miles per hour faster than normal What is the normalspeed of the bus?
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2 months ago
Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was well above the class average. The professor announced that the mean for the class final exam was 90 with a standard deviation of 7. Given Daniel's z score of 1.67, what is the raw score for Daniel's exam grade?102.45100.00101.6988.17
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2 months ago
The ratio of the number of long term parking spaces to the number of short term parking spaces in Farmington Airport is 5 to 7. The ratio of the number of short term parking spaces to the number of parking spaces in the cell phone parking is 8 to 9. There is the total of 3180 parking spaces at the airport. How many parking spaces in the cell phone parking are there?
General
2 months ago
Assume that the weights of spawning Chinook salmon in the Columbia river are normally distributed. You randomly catch and weigh 25 such salmon. The mean weight from your sample is 31.2 pounds with a standard deviation of 4.4 pounds. You want to construct a 90% confidence interval for the mean weight of all spawning Chinook salmon in the Columbia River. What is the point estimate for the mean weight of all spawning Chinook salmon in the Columbia River?
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2 months ago
An engineering drawing shows the: A. dimensions, tolerances, cost, and sales or use volume of a component. B. cost, materials, tolerances, and leadminustime for a component. C. dimensions, tolerances, materials, and finishes of a component. D. cost, dimensions, and machining operations for a component. E. materials, finishes, machining operations, and dimensions of a component.
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2 months ago
The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each defective component has probability 0.60 of being repairable. Find the probability that exactly 15 defective components are produced in a particular day. Round your answer to four decimal places.
General
2 months ago
If [tex]x-12\sqrt{x} +36=0[/tex], what is the value of x?A. [tex]6[/tex]B. [tex]6^{2}[/tex]C. [tex]6^{3}[/tex]D. [tex]6^{4}[/tex]
General
2 months ago
please someone help!
General
2 months ago
A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single? Use α = 0.01.
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2 months ago
Confidence Interval and Hypothesis Test on the Proportion 1. A composites manufacturer is having serious problems with porosity in their parts. A Quality Engineer samples 300 parts and finds 58 defective. (a) Test the hypothesis that defective rate (proportion defective) exceeds 15%. Test at α = 0.05. What is the parameter of interest? What assumptions are made? Show mathematical evidence to support assumption.
General
2 months ago
An airplane with room for 100 passengers has a total baggage limit of 6000 lb. Suppose that the total weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb and a standard deviation of 18 lb. If 100 passengers will board a flight, what is the approximate probability that the total weight of their baggage will exceed the limit? (Hint: With n = 100, the total weight exceeds the limit when the average weight x exceeds 6000/100.) (Round your answer to four decimal places.)
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2 months ago
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of μ = 8.9 new words (words not used in the poet’s other works). The standard deviation of the number of new words is σ = 2.5. Now a manuscript with six new sonnets has come to light, and scholars are debating whether it is the poet’s work. The new sonnets contain an average of x~ = 10.2 words not used in the poet’s known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.H0 : µ = 8.88 vs Ha : µ > 8.88Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)Use 2 decimal places for the z-score and 4 for the p-value.a. What is z?b.The p-value is greater than?c.What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.
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2 months ago
Mary's family went to Disneyland. Her mom drove 75 miles an hour and her dad drove 60 miles an hour. If they drove for a total of 1710 miles, how many hours did each one of the drive?
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2 months ago
come quic 5 qts .. pics provided !! answer correctly plz!!
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2 months ago
A package holds 30 batteries.How many batteries are in 14 packages
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2 months ago
2y=5x+1Not a direct variationDirect variation, constant of variation is -Direct variation, constant of variation isDirect variation, constant of variation is 1--
General
2 months ago
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