When the parameter r in the logistic formula is negative (resulting in a positive power of e), the logistic curve has a different shape. For example, the following formula gives the approximate number of deaths due to tuberculosis as a fraction of all deaths in the United Statest years after 1875. 0.13 T= 1+ 0.07e.0s (a) Make a graph of T versus t. Include dates up to 2000. т 0.15 0.15 0.10 0.10 0.05 0.05 20 40 60 80 100 120 20 40 60 80 100 120 0.15 0.15 0.10 0.10 0.05 0.05 20 40 60 80 100 120 20 40 60 80 100 120 (b) What is the limiting value of T?

Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: Using the Binomial Theorem & Pascal's Triar expand the binomial, (a - b)* A. a -4ab3 + 6a?b? - 4a³b…

A:

Q: How many terms are there in the multinomial expansion of (x₁ + x₂ + ...........+xr)n?

A: Multinomial expansion :  (X1 + X2 + X3 + ......Xr)n  We have to calculate no. of terms in this…

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: 12 Find the term of (a – 3b)" that has b in it.

A:

Q: Select and order the steps to prove the special product pattern for the square of a binomial. Step…

A: A square of a binomial is of the form (c+d)2  We first write it as a product (c+d)(c+d)Then we…

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: 22n+1 3n+1 2.

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 1 7. 27 2.

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: find  3/4 + 1/8

A:

Q: 9/12+3/24

A:

Q: Use the binomial theorem (more than once) to expand (a+b+c)³.

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

Q: Factor 10k + 1 into a product of primes for k = 1, 2, 3, 4, 5.

A: The main objective is to factor p(k)=10k+1 into product of primes for k=1,2,3,4,5.

Q: In the expansion of (x + y)14 which term has the highest coefficient ? O a. x10y4 O b.x7y7 Oc x14 d.…

A:

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: 7. How many terms are there in the multinomial expansion of (x₁ + x₂ + ... .+x)"? ******..

A: We want to find the number of terms in the multinomial expansion of x1 + x2 + ... + xrn

Q: Factor the binomial. 147z° – 108n 8. 10

A: Here we factor the binomial147z8-108n10

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: [ 8x³(4x² + 1)12dx

A:

Q: What is the 5th term in the expansion of (2x²y³ – ¹y)° O 14.25x7 y 20 15.75x10 y 19 15.05x¹0y17…

A: Given: 2x2y3-14y9=2x2y3-y49

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: (3) Find the prime factorization b. 180

A:

Q: 1 3 8.

A:

Q: 4. Find the 11th term in the expansion of 25 3x + 5xi

A:

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: Find A.

A: Given

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.