Large black-tailed gulls usually lay one to three eggs and rarely have a fourth egg clutch. It is thought that clutch sizes are limited by how effectively parents can incubate their eggs. Suppose that on average, gulls have a 3.8 percent of laying 1 egg, 7.2 percent of laying 2 eggs, 9.4 percent chance of laying 3 eggs, and 79.6 percent chance of laying 4 eggs. What is the variance of the number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal places.

Q: a) Define a mapping TRR by b+c ) Determine whether Tis a linear transformation. ii) Find the image…

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

Q: . Given the curve: y = 4cos³x – 3cosx, find the following values of x (from 0 to 2pi radians) when…

A:

Q: Brent Pickett borrowed $7000 from his brother Dave. He agreed to repay the money at the end of 5…

A: It is given that Brent borrowed $7000 from his brother Dave. He will repay the borrowed money at the…

Q: 4. Let A be an invertible matrix having A1, ..., Xn as its eigenvalues. a) Find all the eigenvalues…

A: The given question is related with linear algebra. Suppose that A is an invertible matrix having λ1…

Q: A small plant manufacturing riding mowers. The plant has fixed costs (leases, insurance, etc.) of…

A:

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: Principal Amount P=$4,500 Time t =5 years Rate of interest r=1.7%=0.017 Compounded monthly n=12

Q: f (t) is of exponential order at infinity.

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A: The equation of plane parallel to YZ plane

Q: 2s2 + 5s - 6 s3 - 3s2 – 13s + 15 69 3 69 A. f(t) = " e5t -1et C. f(t): est +1et 3 -3t 32 -3t 32 16…

A:

Q: The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's…

A:

Q: Question 2. Create proofs to show the following. a) F¬(B ^¬B) b) - C +¬C

A: To prove: (a.) ⊢¬B∧¬B (b.) ⊢C↔¬¬C

Q: Solve the given initial-value problems. 4.43. xe* dx + (y° – 1)dy =0; y(0) =0 x’y- y. ý = : y(3)=-1…

A:

Q: Ce ce*ty)x H(2+>xtye J ,yco) = ! 0, y(o)

A:

Q: Use Euler's method to solve ordinary differential equation an dy 4e0.8x – 0.5y from x= 0 to 4 with a…

A:

Q: On a math exam, students must answer 5 out of 7 questions from Part A and only 2 out of 4 questions…

A: Introduction: Suppose, there are n different objects. Out of the total number of objects, r objects…

Q: g(x) = 2x - n+ 4 sin? x g(t) dt. %3D 0.

A:

Q: (a) Let (F(n))n>0 be a sequence of real numbers and let k e N. Explain what it means for (F(n))n>o…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: (c) Prove that L{Cost Si(t)- Sint Ci(t)} Logs s +1 %D

A: The complete solution is in given below

Q: dv 18, 000 – 0. 150? dt 3000 – 6t and solve this numerically using Euler's method in MATLAB with the…

A:

Q: l+ 2e 4s 3e 3s s(1 – e 4*) — е

A: Introduction: When a function is periodic, the Laplace transformation can also be applicable in this…

Q: Given Ln 4 + ( sin 4 + (i -1)- express the limit as → ∞ as a i 1 f(z)dr. definite integral, that is…

A: Given:Ln  = 1 n ∑i=1n(4+(i-1)1n5 sin(4+(i-1)1n

Q: 10 (a) Find the S(q* + + e5q – 10n + q³/5 )dq Find the derivative of In (3q7 – 10) dq. (ii) Using…

A:

Q: 4. The "divide and average" method, an old-time mthod for approximating the square root of any…

A:

Q: Determine the effective annual yield for $1 invested for 1 year at 2.5% compounded quarterly. O A.…

A: To determine the effective annual yield for $1 invested for 1 year at 2.5% compounded quarterly.…

Q: Is it true for abstract algebra that if a*b=a*c then b=c

A: Use the following axioms of group, to obtain the solution. Let G,* be a group and a,b,c∈G.…

Q: fLt)=Cot-a tya そくa

A:

Q: 1. Let L be the line given by the equation L: and S be the plane given by the equation S: 3r - 4y +…

A: Introduction: A plane is a three-dimensional figure containing three independent variables. A plane…

Q: The Queston Ronan is building an extension to his house to facilitate a social space and games room.…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: Marcus receives an inheritance of $10,000. He decides to invest this money in a 14-year certificate…

A:

Q: *** V· Vo = + ax2 dy2 az2

A:

Q: A/ find solution for the differential equation below: Y"" 6Y" + 11Y – 6 = 0

A: Given differential equation is y''' - 6y'' + 11y - 6 = 0

Q: s. Using the partition method, find the inverse of 4 3 -1 3. 135

A:

Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

A:

Q: Every bounded sequence converges. True or False?

A: False

Q: Determine whether the given matrix A (3x3) is diagonalizable and, if it is, give a diagonal matrix…

A:

Q: to wex'tan'! ( x+y" ×キツ

A:

Q: You are given a choice of taking the simple interest on $100,000 invested for 3 years at a rate of…

A:

Q: B/ Find solution for the homogenous differential equation below: dy x2+y2 dx 2xy ||

A:

Q: en that yi = -3x²e-, y2 = 7r are solutions of a linear homogeneous equation a constant coefficients,…

A: Fundamental set of solutions

Q: Discrete Math: Draw a graph with the following degree sequences. If you can't explain why. Degree…

A:

Q: 2- y = xy? O y-' +x - 1 = ce* O y +x - 1 = ce*

A: Given differential equation is dydx - y = xy2

Q: 5. The toxicity of a drug is affected by the amount of drug in the blood times the length of time it…

A: Let y=A(t) here a=0, b=10. h=b-an=10-010=1 h=1

Q: G2. Draw a graph with the set of vertices V = {a, b, c, d} and the set of edges E = {{b, c}, {c, d},…

A:

Q: Q2l find the Least-squargs fre Line y=f) - AX+B for the followingdato 2. Ук

A:

Q: 7. [Geogebra Question] Let's use Geogebra to find the area of the region enclosed by the graphs of…

A: (a) Graph the functions px=x2-6x-3 and rx=-2x2+5x+7 by adjusting the plot area so that the graph of…

Q: Solve the following first order equations: (a) (x²y? + 1)dx + 2a²dy = 0, use the substitution ry =…

A:

Q: Let k be any integer greater than 1. Prove that for all n 20, we je: (k- 1)-[ +k' + +.+*'] + 1="+1)…

A:

Q: Q2. (a) If b – 4ac = 0 and y1 = emz solves ay" + by' + cy = 0, use reduction of order to get a…

A:

Q: 5. Explain why the Lp[0, 1] spaces are complete normed linear spaces. What is the norm of function…

A:

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A O (A)° = A – int A…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…