43. Students participating in a psychology experiment attended several lectures and were given an exam. Every month for the next year, the students were retested to see how much of the material they remembered. The average scores for the group are given by the human memory model f(1) = 90-15 log1,(t +1) , 0sis12 Where r is the time in months. a. What was the average score on the original exam (t = 0) ? b. What was the average score after 6 months? c. What was the average score after 12 months? d. When will the average score decrease to 75?

Q: 13. Combine the following into a logarithm: single 2 log – 3 log y + log(x*y²)

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: Suppose in a certain region there are 4,000 bee hives that are threatened by African bees. Initially…

A: Given, N=K1+be-rt Where  the constant K represents carrying  capacity and b is, b=KN0-1 Then, the…

Q: The Gutenberg–Richter Law states that the number N of earthquakes per year worldwide of Richter…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: e If it is paid out after n months (that is, put A, 0), show that 1.00375 " 1.5484, and hence that…

A: (e) The amount borrowed is $1.7 million P=$1.7million=$1700000 Rate of interest, I=4.5% Monthly…

Q: 2. (a) (b) The weight of a radioactive substance remaining after t years is given by -0.04t W=1000x2…

A:

Q: 4 Evaluate (logyx)'., having given, 1 1 y = log1,x + ; log,0x + log10x + . 00 1+3+5+ ..+ (2y - 1) 20…

A: We have to solve given problem:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: Given that Nt represents the number of people who are exposed to a particular advertisement. The…

Q: 2. Given that x> 0, the value of x for which log, x + log,(6x + 1'0) = 1 is D

A:

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: We will solve the problem using the concept of logistic growth .

Q: 3. If 19.4 = log (ab) and 7 = log₂ (a), where > 1, then log, (b) equals H 12.4 26 2.8 135.8 ◄ Prev…

A: We want to find the value of logxb.

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: A Population of Dogs can be modeled by the Logistic curve 40 P(t)= 1+7e-0.03€ Where t is time in…

A:

Q: 4 Given that log m2 ≈ 0.59, log m4≈ 1.18, and log m6~1.525, find log m 4 log m (Type an integer or a…

A: Explanation of the answer is as follows

Q: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: (1) (a) Solve the following: 1 (i) 2*-6 8. (ii) log,(x+3) =1– log,(x-1)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: (-1,}). Find a formula for the exponential function passing through the points and (1,20) f(z) =…

A:

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3(Z + 5)x2 + 4(Z…

A:

Q: Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have…

A: In this question, the concept of the logistic equation is applied. The Representation  of Logistic…

Q: 2. Suppose the remaining quantity, measured in grams, of a radioactive substance present after time,…

A: Given: Qt=500e-0.05t we know that at half life quantity of radioactive substance will be half of…

Q: 7. Determine the general value of the following: a. In (3+j5)i b. log(-5) (6+ j4)(l+/2) С.

A:

Q: Suppose y m In(x) + b is a logarithmic function that has the points (12.5,2.4) and (62.3,8) on its…

A: We have curve y = m ln(x) + b And it has the points (12.5,2.4) and (62.3,8)

Q: 11 2 log a dx aV6 log r- loga

A:

Q: 19) 3 log x + - log y - log z

A:

Q: Suppose the population f (t) of a given species grows exponentially, so that f (t) = f (0)ekt for…

A: topic - exponential function

Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: Hello! How do you solve part (a), (b), and (c) of the question attached below? Thank you for your…

A:

Q: A pizza, heated to a temperature of 400 degrees, is taken out of an oven and placed in a 70 degree…

A: According to property of energy transfer, heat will transfer from body at higher temperature to body…

Q: Since the data obtained as a result of 10 observations of an experiment is ∑ log niXi = 8.2431, what…

A: The geometric mean of this experiment is, G=Antilog∑logniXin=Antilog8.243110=Antilog0.82431≈2.2803

Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

A:

Q: Show that the solution N of the exponential decay equation NP -kN and initial condition 1 dt N(0) =…

A: (As per the bartleby guidelines, for more than one question, only one will be solved, Please upload…

Q: 4. Express the following single logarithm: as a i) log3 54 -log3 6 ii) 2 In (5a’b) – In (125 aº b²)…

A:

Q: The human population x of a certain island satisfies the logistic law dx/dt = kx with k = 0.03 = 3 x…

A: GIVEN: k = 0.03

Q: 3. Compute the value of log(2875) from the following values of log(x) with the help of Newton…

A:

Q: The logarithm of the ratio of the output to the input current of a transistor is called its current…

A:

Q: It is expected in traditional mathematics that when you input data into a well-defined equation you…

A: As per the question we are given the logistic equation : xn+1 = f(xn) = rxn(1-xn) And we have to…

Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

A:

Q: In the manufacturing of a certain scientific instrument great importance is attached to the life of…

A: The following data is provided from source A Log x Number of components 1.7202 1 1.699 12…

Q: growth model for a population of bacteria is given as P(x) = 25e 2t where t is measured in days.…

A:

Q: Suppose that at time t =0, half of a “logistic” population of 100;000 persons have heard a certain…

A:

Q: The human population x of a certain island satisfies the logistic law dx/dt with k = 0.03 = 3 x…

A:

Q: Suppose f E C" (IR). Show directly that a fixed point xo is exponentially stable if f' (xo) 0.

A: When f'x0<0, the function is decreasing at x0 and when f'x0>0, the function is increasing x0.…

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: The logistic equation is given as dNdt=Na-bN and its solution is given as N(t)=aN0bN0+a-bN0e-at…

Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: 10) The following logistic function model the population P of a koi pond over x months. 68 P(x) =…

A:

Q: 1. The human population of a certain island satisfies the logistic law dx = kx - dt with k = 0.03…

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.