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 (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 (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

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

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A:

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A: I have solved Algebraically

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

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

A:

Q: 2. Use the Binomial Theorem to expand (3x - 2)6

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

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A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

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A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: factors of 20 that add up to 9

A:

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

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

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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: (3) Find the prime factorization b. 180

A:

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Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

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

A: Sequence

Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. 1.f(t) = te¯3t cos² 2t

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Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

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.