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MATH SOLVE
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If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the volume V of water remaining in the tank after t minutes as V=5000(1−t40)20≤t≤40. Find the rate at which water is draining from the tank after the following amount of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
General
3 months ago
48000 fair dice are rolled independently. Let X count the number of sixes that appear. (a) What type of random variable is X? (b) Write the expression for the probability that between 7500 and 8500 sixes show. That is Pp7500 ď X ď 8500q. (c) The sum you wrote in part b) is ridiculous to evaluate. Instead, approximate the value by a normal distribution and evaluate in terms of the distribution Φpxq " PpNp0, 1q ď xq of a standard normal random variable. (d) Why do you think a normal distribution is a good choice for approximation
General
3 months ago
According to the United Nations, in the year 2002, the population of the world was 6.1 billion people and was growing at an annual rate of about 1.5%. If this pattern were to continue, then every year, the population would be 1.015 times the population of the previous year. Thus, if P(t) is the world population (in billions) t years after the base year 2002. (a) What was the population in 2004? (b) What will the population be in 2010?
General
3 months 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
3 months 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
3 months 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
3 months ago
Given A(5,3) and O(0,0), find a point B that makes the following true: m(A,B)=3
General
3 months 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
3 months 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
3 months 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
3 months ago
what are the mean median mode and range of the data set given the altitude of lakes in feet -9, -36, -23, -8, -17, -52, -27, and -36 A. mean=-25; median=-26; mode=-44; range=36 B. mean=-25; median=-36; mode=-36; range=44 C. mean=-26; median=-25; mode=-36; range=44 D. mean=-26; median=-44; mode=-25; range=36
General
3 months ago
Use the inverse of the function y = x2 − 18x to find the unknown values. y=+/= square root of bx+c+d
General
3 months ago
graham drove 42 1\3 miles in 1 1\3 hours how many hours did he take to drive one mile
General
3 months ago
Which mathematical statements are true?
General
3 months ago
What is the value of b in the equation (yb) 4= 1/y24
General
3 months ago
Arnold borrowed $7890 at 11.5 percent for five years. How much did Arnold Pay in interest?A.$2,199B.$2,300C.$1,150D.$2.520
General
3 months ago
PLEASE HELP, WILL GET BRAINIEST AND 99 points a question!!a. Do some research and find a city that has experienced population growth.Determine its population on January 1st of a certain year. Write anexponential function to represent the city’s population, y, based on thenumber of years that pass, x after a period of exponential growth. Describethe variables and numbers that you used in your equation.b. Find another city whose population starts larger than the city in part (a), butthat during this same time experienced population decline. Determine itspopulation for January 1st of the same year you picked for part (a). Write anexponential function to represent the city’s population, y, based on thenumber of years that pass, x after a period of population decline. Describethe variables and numbers that you used in your equation.c. Explain the similarities and differences between your equations in (a) and(b).d. During what year will the population of city (a) first exceed that of city (b)?Show all of your work and explain your steps.e. During what year will the population of city (a) be at least twice the size ofthe population of city (b)? Show all of your work and explain your steps.
General
3 months ago
Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead? combine like terms square the binomial cube the binomial rewrite the expression as a fraction
General
3 months ago
Match each economic term with its description. Tiles There are no barriers to entry in the market. There is a single seller in the market. Three companies secretly enter into a price agreement. Every company in this market structure is aware of the actions of the other companies. Pairs monopoly arrowBoth oligopoly arrowBoth perfect competition arrowBoth collusion arrowBoth \",[{""content"":""<p><span>Each economic term is matched with its appropriate description as follows:<\/span><\/p>\n\n<p><span><strong>OLIGOPOLY<\/strong> ||\u00a0\u00a0There\nare no barriers to entry in the market. <\/span><\/p>\n\n<p><span><strong>MONOPOLY<\/strong> ||\u00a0\u00a0There is a single seller in the market. <\/span><\/p>\n\n<p><span><strong>COLLUSION<\/strong> ||\u00a0\u00a0Three companies secretly enter into a\nprice agreement. <\/span><\/p>\n\n<p><span><strong>PERFECT COMPETITION<\/strong> ||\u00a0\u00a0Every company in this market structure is\naware of the actions of the other companies. <\/span><\/p>""}
General
3 months ago
Jane altered by using 3/4 of the amount of butter called for the recipe.Jane used 6 tablespoons of butter How many cups of butter did the recipe call for?
General
3 months ago
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