The humidity is currently 55% and falling at a rate of 4 percentage points per hour. (a) Estimate the change in humidity over the next 20 minutes

Q: The graph shows the remaining life expectancy, E, in years for females of age x What is the average…

A:

Q: Find the instantaneous rate of change of each function at the given x-value.

A: Part a,Given,           fx=2x2+3x-4 at x=-3

Q: Can the average rate of change of an increasing function ever be negative?

A:

Q: A vehicle purchased for $32500 depreciates at a constant rate of 4%. Determine the approximate value…

A: Solving

Q: Estimate the average rate of change for the graph above from x=1x=1 to x=4

A:

Q: A vehicle purchased for $32,500 depreciates at a constant rate of 5% per year. Determine the…

A: purchased cost of vehicle=$32,500Rate of depreciation=55 per yearNumber of years after purchased =10…

Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

A:

Q: What continuous interest rate eqauls an annual interest rate of 2 % ? Give your answer as a decimal…

A:

Q: Find the total income produced by a continuous income stream in the first 10 years if the rate of…

A:

Q: You have a large metal box filled with honey, where the width is 14 cm, the length is half its size,…

A: For the metal box, it is given that width is b=14 cm, Length is half of width, l=7 cm,  Volume is…

Q: Estimate the average rate of change for the graph above from X=2 to x=3 

A: We have to estimate the average rate of change for the graph above from x=2 to x=3 

Q: A freshly brewed cup of coffee has temperature 95 ° C in a 20 ° C When its temperature is 70 ° C it…

A: The temperature of a freshly brewed coffee is 95°C and the temperature of the room is 20°C. When the…

Q: The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. a) What is the…

A: Applications of derivatives

Q: Suppose that the boy’s weight was increasing at the rate of 7 kilograms per year and his height was…

A: We know that, BMI=Bodyweight in kilogramHeight in meters2⇒B=wh2

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: find the rate of change. The reciprocal 1/x with respect to x when x = 1, 2, 3

A: The rate of change of a function is the value of the derivative of the function; thus, let the…

Q: The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A: This is application of derivative so take the derivative and than put the value of time t.

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: Find the average rate of change of f(x) = 3x - 5 from x = 0 to x = 4.

A: The average rate of change is total change of the output values for two input values divided by…

Q: A bacteria decreases at a rate of 15% continuously when exposed to ultraviolent light. If a culture…

A:

Q: A vehicle purchased for $29800 depreciates at a constant rate of 5%. Determine the approximate value…

A: Given that , The value of vehicle, (P) = $29,800, Rate of depreciation, (r) = 5% = 0.05 Time (t) =…

Q: The height of a triangle is increasing at a rate of 4 cm/s while the area of the triangle is…

A: Let the height, base and area of a triangle be 'h', 'b' and 'A' Given, dhdt=4 cm/sdAdt=56 cm2/s

Q: Water is discharged from an inverted cone-shaped tank with a height of 12 meters and a radius of 6…

A: Given: The height of the inverted cone-shaped tank, h = 12m. Also, its radius, r = 6m. From the…

Q: A vehicle purchased for $22400 depreciates at a constant rate of 6%. Determine the approximate…

A: Formula:      F=P(1+r)t Where, F= future value             P= present value             r= rate of…

Q: How well does the average rate of change describe how the mold changes for these 6 days?

A: Formula used : Average rate of change of f (x) in between a and b is  f(b) - f(a) / b-a

Q: Outside of the box question: The number of treated mosquitoes increased from 20 to 2000 within 8…

A: Rate of change of mosquitoes

Q: The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly…

A:

Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

Q: How strong is the relationship between the average monthly temperature and the number of homicides…

A: The question is based on a correlation Given data :

Q: The rate of change of the temperature of a building is 7° /hr when the temperature is 12°. What is…

A: The rate of change of temperature per hour = 7o   The rate of change of temperature in 30 min or…

Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: How are the rate constant and the doubling time related?

A: Explanation: The exponential growth function is y(t)=y0ekt where k  is the positive constant rate…

Q: The base x of a triangle is decreasing at the rate of 5 in./sec. and the height y of the triangle is…

A: Given Base = x  Height = y Rate of change of base = dx/dt = - 5 in/s Rate of change of height =…

Q: estimate the instantaneous rate of change at the point indicated.f (x) = ln x; x = 3

A: To find the instantaneous rate of change at x=3 we need f'(3) We find f'(x)

Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value…

A: Compound interest :A=P1+rnntwhere A=future ValueP=Principal ( starting ) Valuer=annual interest…

Q: Use a numerical example to explain the difference between the rate of change and the level of change…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: given that the area of a triangle(A)=140cm2 altitude(h)=20cm dh/dt=1cm/min dA/dt=2cm2/min let the…

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

Q: A cheese manufacturer produces18,000 pounds of cheese from January 1 through March 24.Suppose that…

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 66°C, it…

A:

Q: What is the instantaneous rate of change of A with respect to s when s is 4.00?

A: Given a square of area A in2 and length of the side s in To find the instantaneous rate of change of…

Q: It started raining at 10:15 am, and by 12:10 pm the barrel had 7 inches of water in it. What was…

A:

Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 7200 f(t) (* + 1.5)"

A:

Q: A wet towel hung on a clothesline to dry outside loses moisture at a rate proportional to its…

A:

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: We have to find area on Monday.

Q: What is the visual representation of the average rate of change f(x) = x 2 from x = 1 to x = 3…

A: Given function: f(x) = x2To find the average rate of change of function from point x=1 to x=3

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

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.