Twelve out of the 61 ads (I watched all of them) that ran during a past Super Bowl were for cars/trucks/SUVs. Calculate the probability that three randomly selected ads (with replacement) are not for a car/truck/SUV. Round to three decimals as needed.

If g(v) is the fuel efficiency, in miles per gallon, of a car going at v miles per hour, what are the units of g′(90)? What is the practical meaning of g′(55)=−0.54?

This was wrong. Can you solve this again with these numbers? What is the root mean square velocity, vrms, for Hydrogen molecules (H2) at 20oC? Hint: How many amu does an H2 molecule contain. 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

Question 3

The population of India can be modeled by the function P(t) = 1462(1 +0.0177) where P(t) measures the population in millions andt represents the number of years since 2000. 1. Using this model, what was the population of India in 2009? 2. Predict the population of India in 2019. 3. If this growth rate continues, in what year will the population of India reach 2 billion people? Hint:

A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.

I need help with a University Physics 1 (significant figures) - The problem is described in the image below:

A bacteria colony which is unrestricted in its growth will grow out in a circular manner. The population ?(?) of the colony at time t is directly proportional to the area of the circle. Suppose that a particular bacteria grows in such a way that the population is 1.3 times larger each day, and that initially (t=0) the colony has a diameter of 4 centimeter and a population of 7 million. a) Find the Population and Diameter of the colony on the fifth day. b) Find the Rate of Change of the Population and Diameter of the colony on the fifth day. c) Unrestricted growth models are often impractical as values will quickly become unreasonable. On what day does our model predict that the area of the bacteria colony will be 1 square mile?

A relationship is found between the number density of cars on a freeway during rush hour, N, and distance. The relationship can be written as k a'N No dr? From this you can conclude that O w = V No O v = No No O v =