The wingspans of the females of a certain species of bird of prey form a normal distribution with mean 168-75 cm and standard deviation 6-5 cm. The wingspans of the males of the species are normally distributed with mean 162-5 cm and standard deviation 6 cm. What is the probability that, if a male and female are taken at random, the male has a larger wingspan than the female?

Q: a). Evalieteo lim foca+la -4 X-2 b). f(x){ de?+72, xこ 3x2+3d9x > a Contir at evesy ?

A:

Q: Find the value of the following integral bynumerical and analytical methods over the period [1,5]…

A: Given the integral ∫151xdx Here,  fx=1x n=4 a=1, b=5

Q: Suppose you flip a fair coin 4 times. What is the probability that they are either all head or all…

A: Coin is flip 4 times  that is totel outcomes will be 2^4 = 16

Q: 3. The square is dilated under the dilation (x, y) → (0.25x, 0.25y). 4 2 -2 2 -2 a. Graph the image.…

A:

Q: atch the differential equatio

A: (i) Given,          y'=2-y

Q: → Det f : V → Il Xa be defined as : a e A f (v) = (fa(v)) a e A where fa : V ¸Xa for each a e A. Let…

A:

Q: Which of the following sets is linearly independent in P2 ? {1– x,0, x? – x + 1} the above set None…

A:

Q: Q1 (a) To identify how much heat is required to bring a kettle of water to its boiling point, you…

A: The value of the specific heat at T = 610 C using a second order, third order Lagrange polynomial is…

Q: Solve the following IBVP: Uu = Urz + 2, 00, u(0, t) = 0, u(x, 0) = 0, u(x, 0) = 1, 0 0,

A: First we make the non homogeneous equation and boundary conditions to homogeneous equation and…

Q: Consider the function defined by f(x, y) = VT – y. %3D 1. Find the domain and range of f. 2. Draw a…

A: We know that the domain of the function is the set of values for which the function is defined and…

Q: Consider the series E 1+ n=1 (a) Find the series' radius and interval of convergence. (b) For what…

A: We have given a series ,  ∑n=1∞ 1 + 1nn x7n (a) We need to find interval of convergence and radius…

Q: Find the inverse of the matrix. [:] 6 9 7 2 ... Select the correct choice below and, if necessary,…

A:

Q: Organize the steps for constructing an angle bisector in the correct order. Place the compass point…

A: Write the construction of angle bisector in order as follows:

Q: 6. Find the value of x 439 Ox- 317 O x= 21.5 O x= 86 O x= 43

A: Solution :-

Q: 6. Find the value of x: 43 Ox=317 O x- 21.5 Ox- 86 Ox- 43

A: The angle made by two lines will always be the same at every points on the line from the point of…

Q: Prove that if g′ is bounded on (a, b) then g is uniformly continuous on (a, b).

A:

Q: A: Solve the differential equation (3x y°e" +y³ + y²)dx + (x³y³e> – xy)dy = 0

A:

Q: the following functions Analytic or not? f(z) = %3D Z-z3 i f(z) %D 26 f(z) = -2* (cosh 2y – i sinh…

A:

Q: cermine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.…

A:

Q: Find the Laplace transform of the equation. a and b are constant.

A:

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Let M be the portion of the cylinder x2 + z? = 1, 0 < y < 3, oriented by unit normal N = (x, 0, z).…

A:

Q: (b) Express the integrands as a sum of partial fractions and evaluate the integral de -x*-6x (a)…

A:

Q: II. Consider the function g defined by g(x, y) 3 = cos (Tx /y) + х — у Do as indicated. 1. Determine…

A:

Q: 2. A particle is moving in space with position function Ř(t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

A:

Q: Question 2 Show, using truth tables, that (a) -(p V q) A r = ¬p^(Ar),

A: First we construct the truth table. We use "T" for "True" and "F" for "False" in the truth table.

Q: If the acceleration function of a certain particle is given by a(t) the velocity function provided…

A: We know that the acceleration function  a(t) and the velocity function v(t) are related as…

Q: (a) Find r()of the vector- valued function (b) Evaluate the integral of the following vector- valued…

A: This is a problem of Vector Calculus.

Q: Question 2 [14 marks]. Show, using truth tables, that (a) ¬(p V q) ^r = -p^ (¬g ^ r), (b) -q V (q V…

A:

Q: Find the extreme values of the function := &r

A: Given,               z=8x3+2xy-3x2+y2+1           ...(1)

Q: Discuss the properties of the curve and sketch fully:

A: Introduction: The graphical representation of a function is very significant. It helps us to…

Q: ion of the linear differential equatio ents, variation of parameters and red

A:

Q: 6. "Find the mserse Laplaie fnanform 10 11 25+3 12

A:

Q: 0. F A particie moves along a norizontal line. Its position function is s(t) problem, find the…

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

Q: The Fourier transform of f(t) = -1<t<1 is otherwise O 2sin(w + 2) w +2 O 2sin(w – 2) w - 2 2…

A: Fourier transform of the function

Q: 10 at x + 4 x = 0 using the limit definition of the derivative. Find the derivative f' (0) of f(x) =

A:

Q: Solve the nonhomogeneous opdr – 2rdo = q' In odo. equation

A:

Q: . Arcsin(x/y) = 4x + 3y

A: Solution :-

Q: Suppose you flip a coin twice. Let H represent the head and T represent the tail. Which one of the…

A:

Q: The radius of convergence of representation of

A: Introduction: The radius of convergence of the power series f(x)=an, is the radius of series, when…

Q: 24 – 44 dy 2+ 49 с.

A:

Q: if it was N-{cz,,z,»z,): 2z,-z, = o} Two subspaces of C³ space on field C find MON Then prove that…

A:

Q: •MMD1:ro AV% Then M is a basis for M2,3 O the above M3,2 O the above O None of the mentioned

A:

Q: y" – 25 y = sin(3t), y(0) = -2, y (0) = -1. %3D Evaluate L {sin(3t)} using the definition of the…

A:

Q: The predicted sales revenue of the ABC Company, in tens of millions of dollars, is given by f (x) =…

A: we have to use following relation between f , f' and f" * when f'(x) &gt;0 =&gt; function increasing…

Q: Example 2 If |z-= 2, then the difference between max (zl) and min (|zl) is: (A) 1 (B) 2 (C) 4 (D) 8

A:

Q: Use the trigonometric and substitution techniques to evaluate the following integration problems.…

A: (1) To solve the given integral ∫0π23cos3xsin2xdx

Q: Divide x – x4 + 3x³ + 2x2 – x + 1 by x³ – x² + 1, finding the quotient q(x) and remainder r(x).…

A:

Q: The following conclusion is based on which assumption:               Gregory had studied all night…

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

Q: Which of the following is true? 0. 1 0 O A. is a basis for M22. O B. is a basis for M22. 1 0. 0. 0.…

A: