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MATH SOLVE
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The blue M&M was introduced in 1995. Before then, the color mix in a bag of plain M&Ms was (30% Brown, 20% Yellow, 20% Red, 10% Green, 10% Orange, 10% Tan). Afterward it was (24% Blue , 20% Green, 16% Orange, 14% Yellow, 13% Red, 13% Brown). A friend of mine has two bags of M&Ms, and he tells me that one is from 1994 and one from 1996. He won't tell me which is which, but he gives me one M&M from each bag. One is yellow and one is green. What is the probability that the yellow M&M came from the 1994 bag?
General
5 months ago
In Section 1.3 we saw that the autonomous differential equation m dv dt = mg − kv, where k is a positive constant and g is the acceleration due to gravity, is a model for the velocity v of a body of mass m that is falling under the influence of gravity. Because the term −kv represents air resistance, the velocity of a body falling from a great height does not increase without bound as time t increases. Use a phase portrait of the differential equation to find the limiting, or terminal, velocity of the body.lim v(t -> infinity)= ?????
General
5 months ago
If 12 cars are needed o get 36 students to the end of the road with their packs, how many cars will be able to carry 9 students to the end is the road?
General
5 months ago
A researcher wishes to estimate, with 9090% confidence, the proportion of adults who have high-speed Internet access. Her estimate must be accurate within 55% of the true proportion. a) Find the minimum sample size needed, using a prior study that found that 2828% of the respondents said they have high-speed Internet access. b) No preliminary estimate is available. Find the minimum sample size needed.
General
5 months ago
A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $4 discount on 7 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 7 weekday period jumps to 93. What is the probability to get a sample average of 93 or more customers if the manager had not offered the discount?
General
5 months ago
Show that if the vector field F = Pi + Qj + Rk is conservative and P, Q, R have continuous first-order partial derivatives, then the following is true. ∂P ∂y = ∂Q ∂x ∂P ∂z = ∂R ∂x ∂Q ∂z = ∂R ∂y . Since F is conservative, there exists a function f such that F = ∇f, that is, P, Q, and R are defined as follows. (Enter your answers in the form fx, fy, fz.)
General
5 months ago
A recent study reported that 29% of the residents of a particular community lived in poverty. Suppose a random sample of 200 residents of this community is taken. We wish to determine the probability that 33% or more of our sample will be living in poverty. Complete parts (a) and (b) below. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal. The answer should be greater than 50%, because 0.24 is greater than the population proportion of 0.20 and because the sampling distribution is approximately Normal. The answer should be less than 50%, because 0.24 is greater than the population proportion of 0.20 and because the sampling distribution is approximately Normal. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. Calculate the probability that 24% or more of the sample will be living in poverty. Assume the sample is collected in such a way that the conditions for using the CLT are met. P (p ge 0.24) = (Round to three decimal places as needed.)
General
5 months ago
Foggy Optics, Inc., makes laboratory microscopes. Setting up each production run costs $2500. Insurance costs, based on the average number of micro- scopes in the warehouse, amount to $20 per microscope per year. Storage costs, based on the maximum number of microscopes in the warehouse, amount to $15 per microscope per year. If the company expects to sell 1600 microscopes at a fairly uniform rate throughout the year, determine the number of production runs that will mini- mize the company’s overall expenses.
General
5 months ago
A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants. However, there is some concern about the germination of seeds from the new plant. To estimate the probability that a seed from the new plant will germinate, a random sample of 3000 seeds was planted in warm, moist soil. Of these seeds, 2140 germinated. (a) Use relative frequencies to estimate the probability that a seed will germinate. What is your estimate? (Enter your answer to 3 decimal places.)
General
5 months ago
Tammy invited 144 guests to her wedding. Tammy is renting tables that seat 8 guest at each table. If each table costs $5 to rent how much will tammy spend to rent the tables
General
5 months ago
Please Help!!! :)Ned currently has an account balance of $3,634.51. He opened the account 13 years ago with a deposit of $2,564.65. If the interest compounds twice a year, what is the interest rate on the account? A. 4.7% B. 5.4% C. 2.7% D. 1.4%Leroy opened a savings account 18 years ago with a deposit of $2,651.43. The account has an interest rate of 2.8% compounded twice a year. How much interest has Leroy earned?A. $4,373.68B. $2,725.67C. $4,358.69D. $1,722.25
General
5 months ago
Suppose that b>0 and that the average value of f(x)=5x−5 on [0,b] is 14. find the value ofb.
General
5 months ago
For an arithmetic sequence where a1 = 13 and the common difference is 3, find s7. A. 162 B. 157 C. 154 D. 151
General
5 months ago
A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x
General
5 months ago
A heap of rubbish in the shape of a cube is being compacted into a smaller cube. given that the volume decreases at a rate of 4 cubic meters per minute, find the rate of change of an edge, in meters per minute, of the cube when the volume is exactly 125 cubic meters.
General
5 months ago
Colby worked three more hours on tuesday than he did on monday. on wednesday, he worked one hour more than twice the number of hours that he worked on monday. if the total number of hours is two more than five times the number of hours worked on monday, how many hours did he work on monday>
General
5 months ago
A doctor's office has a computer file showing the heights of 100 male patients of one of the doctors of the practice. the heights range from 18 inches to 68 inches. by accident, the greatest height has been recorded as 680 inches, instead of 68 inches. (a) does this affect the average? if so, by how much? (b) does this affect the median? if so by how much?
General
5 months ago
What you put on social media matters. Why does it matter and how will you ensure your social media postings reflect you professionally?
General
5 months ago
Many communities today are concerned with their local government’s ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in deficit? a.The government raises sales and property taxes without adjusting expenditures. b.The county closes a fire station, reducing expenditures, without adjusting taxes. c.The county gives all public school teachers a $2,000 raise without adjusting taxes. d.The county collects donations to build a fountain in city hall.
General
5 months ago
Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 100. How many minutes would it take the printer to use all 100 sheets of paper?
General
5 months ago
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