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A model for the density δ of the earth’s atmosphere near its surface isδ=619.09−0.000097pwhere p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter. If we take the surface of the earth to be a sphere with radius 6370 km, then this model is a reasonable one for:6.370×106≤p≤6.375×106 Use this model to estimate the mass of the atmosphere between the ground and an altitude of 5 km.
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1 month ago
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1004 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01.What is the sample test statistic?What is the p value of the test statistic?
General
1 month ago
Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
General
1 month ago
Parameters are a. numerical characteristics of a population b. the averages taken from a sample c. numerical characteristics of a sample d. numerical characteristics of either a sample or a population
General
1 month ago
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
General
1 month ago
Bill has a set of 6 black cards and a set of 6 red cards. Each card has a number from 1 through 6, such that each of the numbers 1 through 6 appears on 1 black card and 1 red card. Bill likes to play a game in which he shuffles all 12 cards, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
General
1 month ago
A partial proof was constructed given that MNOP is a parallelogram. Parallelogram M N O P is shown. By the definition of a parallelogram, MN ∥ PO and MP ∥ NO. Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary. Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary. Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary. Therefore, __________________ because they are supplements of the same angle. Which statement should fill in the blank in the last line of the proof? ∠M is supplementary to ∠O ∠N is supplementary to ∠P ∠M ≅ ∠P ∠N ≅ ∠P
General
1 month ago
Consider the relationship between the number of bids an item on eBay received and the item's selling price. The following is a sample of 5 items sold through an auction.Price in dollars 23 29 32 38 41Number of Birds 10 14 15 16 17A) Step 1 of 3: Draw a scatter plot of the given data.B)Step 2 of 3: Estimate the correlation in words: positive, negative, no correlation.C) Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places
General
1 month ago
Which of the following is not true about the Student's t distribution? a. It has more area in the tails and less in the center than does the normal distribution. b. It is used to construct confidence intervals for the population mean when the population standard deviation is known. c. It is bell shaped and symmetrical. d. As the number of degrees of freedom increases, the t distribution approaches the normal distribution. e. both (a) and (b)
General
1 month ago
14. Solve: 3x² + 5x – 12 = 0B. 4-3C. 8, - 18
General
1 month ago
A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 minutes after the woman starts walking
General
1 month ago
The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first card was replaced. If the two draws are defined as event A and event B, are the events dependent or independent? A. They are dependent because, based on the probability, the first ace was replaced before drawing the second ace. B. They are dependent because, based on the probability, the first ace was not replaced before drawing the second ace. C. They are independent because, based on the probability, the first ace was replaced before drawing the second ace. D. They are independent because, based on the probability, the first ace was not replaced before drawing the second ace.
General
1 month ago
Suppose the time to process a loan application follows a uniform distribution over the range of 8 to 13 days. What is the probability that a randomly selected loan application takes longer than 12 days to process?
General
1 month ago
For a special game Don has two 8-sided fair dice numbered from 1 to 8 on the faces. Just as with ordinary dice, Don rolls the dice and sums the numbers that appear on the top face, getting a sum from 2 to 16. What is the sum of the possible numbers which have a probability of 1/32 of appearing
General
1 month ago
The value of China's exports of automobiles and parts (in billions of dollars) is approximately f ( x ) = 1.8208 e .3387 x , where x = 0 corresponds to 1998. In what year did/will the exports reach $12.3 billion?
General
1 month ago
Score! U OT pt1 of 10 ( complete)IVY JUICU IU, U UI TUPUses32.6.1Skill Builder5 Question HelpomeA waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble after tseconds is given by the equation h - 16t" + 16 + 1400. How long after the pebble is thrown will it hit the ground?The pebble will hit the ground aboutseconds after it is thrown.
General
1 month ago
Given A(5,3) and O(0,0), find a point B that makes the following true: m(A,B)=3
General
1 month ago
You are making juice from concentrate. The directions on the packaging say to mixI can of juice with 3 cans of water. A can is 12 fluid ounces.
General
1 month ago
A machine bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. a. What is the longest the bolt can be and still be acceptable? SHOW WORK PLEASE!!!!!
General
1 month ago
A manufacturer of precision measuring instruments claims that the standarddeviation in the use of the instruments is less than 0.00002 millimeter. An analyst,who is unaware of claim, uses the instrument eight times and obtains a samplestandard deviation of 0.00001 millimeter. Assume normal population(i) Confirm using a test procedure and α level of 0.01 that there is insufficient evidence to support the claim that the standard deviation of the instruments is less than 0.00002 millimeters.(ii) Find the P-value for this test? How does it compare with α(greater than or less than)? Does it make sense with respect to your conclusionin part (i)?
General
1 month ago
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