2. The data below show the admission status and gender for a sample of applicants to State U. Total 2590 1835 4425 Male Female Total Accepted Not Accepted 1191 557 1748 1399 1278 2677 (a) What is the probability a randomly selected applicant is accepted to State U? Interpret this result. (b) What is the probability a randomly selected applicant is accepted or female? (c) What is the probability a randomly selected applicant is accepted given the student is female? (d) Are the events accepted and female independent? Justify.

Q: U. Section 5.5 Factor using the formula for the sum or difference of two cubes. x3 - 27

A: To factor the following function

Q: f(x) = x – 3 Use A = R\ {3} = (-0, 3) U (3, 0) as domain. 1. Prove or disprove that f is 1-1. 2.…

A:

Q: Complete the table. y = f(g(x)) U = g(x) y = f(u) 1. x +6

A:

Q: 14. Let y = 4x² - 4x + 3. (a) Find an equation for the tangent line to this graph at x = 2. (b) Find…

A:

Q: Problem 8.7. Let A be an n x n orthogonal matrix, and x and y be n- dimensional column vectors. If y…

A: Y = AX given  please find solution below:

Q: Evaluate the line integral by the two following methods. xy dx + x?y3 dy Cis counterclockwise around…

A:

Q: Let + stand for the symmetric sum of sets, A+ B = (AU B) \ (A n B). Prove or disprove (A+ B)nC =…

A:

Q: E. If g(x) = xVx2 +5, find g'(x) and g'(2). %3D Solve the differential equotion: dy

A:

Q: 2. Suppose f : X →Y and g : Y → Z are functions, and g of :X → Z is injective. (a) Show that f is…

A:

Q: QUESTION 7 Suppose we want to determine the proportion p of all Canadians who agree with the…

A: Given,margin of error (E)=0.01assume sample proportion(p^)=0.5α=1-0.95=0.05α2=0.025Z0.025=1.96…

Q: At the end of each week, the inventory for each cookie is equal to the amount baked plus the…

A: The option that models the given constraint is: Ii,t= Ii,t-1 + xi,t - di,t  ∀i=1,.....,m…

Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) =…

A: Calculate the Taylor polynomials T2(x) and T3(x) centered at x=8 for f(x)=lnx+1

Q: I have three errands to take care of in the Administration Building. Let x, = the time that it takes…

A: Let  Y= Total time to run errands and to return at office So, we can write: Y=∑xii=14 As xi is…

Q: solve, d,e,f

A: Given, the quarterly sales of the TRK-50 mountain bike for the previous four years by a bicycle shop…

Q: 8. A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples is drawn withou…

A: Here given that ,  There are total no of apples = 8 +6 = 14. No of red apples = 8 No of yellow…

Q: You wish to test the following claim (H) at a significance level of a = 0.01. Ho: p=0.76 Ha:p 0.76…

A: The sample of size, The number of successful observation, The significance level, The hypothesized…

Q: 1) 10,7,5, 14, 19, 32, 25 Mean = Mean Absolute Deviation =

A: mean = 16 mean absolute deviation = 8   explanation is given in below step

Q: A box contains 8 balls: 3 blue and 5 red. You pick 3 balls at random, without replacement. Find the…

A: here given that there are total 8 balls in box , 3 blue and 5 red balls . three balls are selected…

Q: Let R be the region bounded by the curves C1 : y – 3 = -2(x – 1)², C2 : x + y = 4, and C3 : y = 1. y…

A: The region given is as follows: C1: y-3=-2x-12C2: x+y=4C3: y=1 (b) We are asked to find the integral…

Q: In an area having sandy soil, 60 small trees of a certain type were planted, and another 60 trees…

A: Let  x= No. of trees planted in sandy soil y= No. of trees planted in clay soil Px=0.7,…

Q: 5. Let a and b be real numbers, not both zero. For (x1, Y1) and (x2, 42) in R², (x1, yı) ~ (x2, y2)…

A: Given that,  a and b are real numbers, not both zero. For By using the definition of equivalence…

Q: Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual…

A: The median is the middle value in the sorted set of data. Given data value 108.6 117.4 128.4 120…

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: The vector field F(x, y, z) = 18xy i + (9x2 + 4yz) j + 2y2 k is said to be conservative if curl (F)…

Q: Consider the boundary value problem y" + y' = b. — 2x^2, У(0) %3D1, У (0.75) — 2.5 i. Derive a…

A:

Q: 7. If sin 0 and 0 is in the first quadrant, find cos 20. %3D

A: The solution is given below:

Q: Let p2 q be primes greater or equal to 5. Show disprove that 24 divides p² – q². or

A: Consider the provided question,

Q: Q.5.2.1 (3–41)+(1+v-1) Q.5.2.2 (2+ 2i)(2 – 3i)

A: