Married Couples with Children 2000 is approximately The percentage of families that were married couples with children between 1970 and 47.8 P(t) t0.27 (1

Q: d) An ice cube of 16 cm3 is melting on a mesh as shown below. Each side of the ice cube is melting…

A: We have to use derivative as rate of change

Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand.…

A:

Q: Q1. In a study of Bacterial Growth, it is assumed that, a culture initially has Po number of…

A: P0 → initially number of bacteria.at t= 2h, number of bacteria→52P0We can model the problem as :P(t)…

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

A:

Q: Water is spilling out of a tank with a leak at the bottom. After t hours, there are t+ √t liters…

A: Given

Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

A:

Q: 12. Brent is driving west at 60 km/h and Aaron is driving south at 70 km/h. Both cars are…

A: Since the cars are moving towards a point, all the distance are decreasing. So here we don't have to…

Q: 13. Water is spilling out of a tank with a leak at the bottom. After t hours, there are t+ √t liters…

A:

Q: A bacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4…

A: (a) From the given information, the initial size of the bacteria is N0=560. It is known that, the…

Q: Q-6 A R.O. 200 investment in a savings account grows according to A(t) = 200e0.0598t for t > 0 .How…

A: Given  A(t)= 200e^(0.0598t) Time 10 yrs

Q: Annual sales of bottled water in a certain country in the period 2007-2014 could be approximated by…

A: given: Annual sales of bottled water in a certain country in the period of 2007-2014 could be…

Q: 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is described by the v(1) =…

A: Given problem:- 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is…

Q: c) A cube has sides of length x cm and volume V cm3 . The volume is increaring at a rate of 1.5…

A: It is application of derivative.

Q: Water leaks from a vertical cylindrical tank through a small hole in its base at a volumetric rate…

A: From the given information V0=225 liters Volumetric rate is proportional to the square root of the…

Q: Q-6 A R.O. 200 investment in a savings account grows according to A(t) = 200e0.0598t for t > 0.How…

A:

Q: a       What is the maximum speed of the car? b       During which intervals was the rate of change…

A: AS PER BARTLEBY GUIDELINES, WE ARE ALLOWED TO SOLVE NOT MORE THAN THREE SUBPARTS IN A QUESTION.…

Q: Daily crude oil production by one particular oil company for 2014-2019 could be approximated by P(t)…

A: Given Data: The rate of change of oil can be founded by differentiating the function P(t) with…

Q: pulation of a city, in millions, since 1990 has grown at a rate of P'(t) = 0.11 e 0.01 r of years…

A: Topic:- application of integration

Q: The populations P (in millions) of Zambia from 1950 through 2013 can be modeled by  P =…

A:

Q: The population of a city can be modeled by P(t) = 30e0.0st thousand persons, where t is the number…

A: Given population function is

Q: Q-6 A R.O. 200 investment in a savings account grows according to A(t) = 200e0.0598t for t >0.How…

A: According to bartleby only one individual question is to be answered.

Q: 1. Karlo is driving his padyak 15m/s when he noticed that he is approaching a stalled tricycle that…

A: The motion of padyak included in uniformly accelerated motion with constant acceleration. Equation…

Q: A police helicopter is flying due north at 100 mi/h and at a constant altitude of ; mi. Below, a car…

A: Let the car be at a distance x from the point where helicopter crosses highway. The height at which…

Q: A tank contains 9,000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

A:

Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

A: The growing rate is given by: R(t)=0.063t2-0.48t+3.87   (0≤t≤15) million people/decade, where t is…

Q: The rate of change of the income produced by a business selling face shields is given by f(t) = 1,…

A: Given: The rate of change of income produced by a business selling face selling shields is given by…

Q: An epidemic is spreading at the rate of 11e0.2t new cases per day, where t is the number of days…

A:

Q: A bacteria culture starts with 540 bacteria and grows at a rate proportional to its size. After 6…

A: Let present size of bacteria = x   Given bacteria grows at a rate proportional to its size  Rate of…

Q: At the start of 2010, an online group had 2 million members. Since that time, new members joined at…

A: New member is joining at the rate  million members per year , where t is time in years since the…

Q: Winnie's blood pressure, P(t), in millimetres of mercury (mmHg), is modelled by the function P (t)…

A: Given: Winnie's blood pressure, Pt in millimetres of mercury (mmHg) is modeled by the function…

Q: A rocket is propelled upwards and reaches a height of h(t)=4.9t in t seconds. a) How high does it…

A: The given equation is: ht=4.9t2 a). The height after 35 seconds: Put the value of t =35 in given…

Q: An influenza virus is spreading through a school according to the function N = 9(1.17)* , where N is…

A: For a function, y=f(t), the independent variable is t and the dependent variable is y . The value of…

Q: A news item is broadcast by mass media to a potential audience of 50,000 people. After t days, f (t)…

A: a) The number of people will have heard the news after t days will be ft=50,0001-e-0.3t To find how…

Q: The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is…

A:

Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

A:

Q: If  P(t)  denotes the population at time  t  and  A(t)  denotes the average annual income, then…

A: Given: P(t) denotes the population at time t A(t) denotes the average annual income, T(t) =…

Q: 3000 people are infected when the pandemic is first discovered. 16000 people are infected 7 days…

A:

Q: An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking…

A:

Q: The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be…

A: (a)  the given f(t)=1023e0.176tdifferentiate f(t) with respect to t, we…

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A:

Q: The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a…

A:

Q: A culture initially has Po number of bacteria. At t = 4hour the number of bacteria is measured to be…

A: We will find out the required doubling time.

Q: 1) The world population from 1900 to 2010 can be modeled by P(t) = 1436 (1.014)t where t is years…

A:

Q: The population (in ten thousands) of a city from 2010 (t = 0) to 2018 (t = 8) is modeled by p(t) =…

A: We are given the model of the population by p(t)=0.25t2+98t+2400,  0≤t≤8. The average rate of change…

Q: A water storage container starts leaking at time t = 0 minutes. The water leaks out from the…

A:

Q: A culture initially has Po number of bacteria. At t=1 hour, the number of bacteria is measured to be…

A: Given:  A culture initially has P0 number of bacteria. At t=1 hour, the number of bacteria is…

Q: 9. Sales for a speaker system have been growing at the rate: f'(t) = 2000(3 – 2e-t) systems/yr where…

A: We have to use definite integrals

Q: 4. If t is in years since 1990, the population, P, of the world can be modeled by P = 5.3e0.014…

A: Given the world population since 1990 is,  P = 5.3e0.014t  (in billions)  Where t is the number of…

Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

A: Given: R(t) = 0.08t2-0.26t + 8.8, 0 ≤ t ≤ 7.

Q: a factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.