Many science fiction movies feature animals such as ants, spiders, or apes growing to monstrous sizes and threatening defenseless Earthlings. (Of course, they are in the end defeated by the hero and heroine.) Biologists use power functions as a rough guide to relate body weight and cross-sectional area of limbs to length or height. Generally, weight is thought to be proportional to the cube of length, whereas cross-sectional area of limbs is proportional to the square of length. Suppose an ant, having been exposed to "radiation," is enlarged to 300 times its normal length. (Such an event can occur only in Hollywood fantasy. Radiation is utterly incapable of causing such a reaction.) (a) By how much will its weight be increased? Its weight is increased by a factor of (300 (b) By how much will the cross-sectional area of its legs be increased? The cross-sectional area of its legs is increased by a factor of (4000 (c) Pressure on a limb is weight divided by cross-sectional area. By how much has the pressure on a leg of the giant ant increased? Note: The factor by which pressure increases is given by Factor of increase in weight Factor of increase in area The pressure on a leg increases by a factor of (200

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: 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: 8.20+2

A:

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

A:

Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

Q: 2) 36³x=¹

A:

Q: 6 2/5 + 1 3/10

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: n?_4

A:

Q: Find the term indicated in the expansion (x + 2y)6; third term.

A: Find the term indicated in the expansion (x + 2y)6; third term.

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 7 2 3k+1= [A] k = 2

A: Consider the equation ∑n=273k+1=A We have to find the value of A Expand the summation of left hand…

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: Finding the LCM of 4,5

A: Given,            LCM of 4,5.

Q: What is the coefficient of a b³c² in the expansion of

A: In this question, we need to find the coefficient of a4b3c2.

Q: Evaluate (33)2

A: Given: 332Power rule amn=am×nSolution:332=33×2=36(33)2=729

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 6/9 +  5/18 + 1 3/6

A:

Q: Expand the expression for Mr Taylor.

A: The previous solution is incorrect. Please follow this one.

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: expansion of (1-2m)“

A:

Q: 18(9+7)+3

A: 18(9+7)+3

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: 29 Using the combination formula expand (5+x)

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: expand (x+y)6

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.