Find an equation of the plane containing the points A = (1,0,2), B= (– 1,1,2),C=(5,0,3).

Q: Question A4 Let the curve C: f (x) = x³ + 6x² – 15x + 8. Find the value(s) of m for which the line y…

A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…

Q: If the probability function for a discrete random variable X is given by the following piecewise…

A: Solution: Let X be the discrete random variable having probability distribution  is  P(x)= 16x    if…

Q: In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is…

A: Given that  a. What is the probability that is within $500 of the population mean if a sample of…

Q: What is the remainder when 5100 is divided by 7?

A: apply little fermet theorem

Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: Question: During a single day at radio station WMZH, the probability that a particular song is…

A: Given,n=7p=37q=1-37=47A random variable X~Binomial(n=7 , p=37)P(X=x)=Cx37x477-x     ;…

Q: c) Find the general solution to the differential equation = 3x(y + 8).

A:

Q: A random sample of size 100 is selected from a population with p= 0.40. a. What is the expected…

A: Givensample size(n)=100population proportion(p)=0.40

Q: State the Law of Quadratic Reciprocity. s) Evaluate the Legendre symbol (). 18 29

A:

Q: Sketch the graph of y = X-1 + 4. Clearly label all intercepts and asymptotes. Show full working.

A: Explained below

Q: Find all solutions mod 31 to the congruence z = -5 (mod 31).

A: We will use python code to find the solutions Now x5 ≡  -5 (mod 31)  ≡  26  (mod 31) And we only…

Q: The wholesale cost of a new sofa is $300. The price of the sofa is marked up 15 % before putting it…

A: Topic:- algebra

Q: Determine the number of primitive roots modulo 23.

A: Solution

Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: Using the Chinese Remainder Theorem, find the smallest two positive inte- gers z satisfying the…

A: x=1mod(3) x=3mod(4) x=4mod(5) here 3,4,5 have GCD is1. x=(M1X1a1+M2X2a2+M3X3a3)mod MM=m1*m2*m3* . .…

Q: The UofToys company has a factory that produces toy trucks and toy cars only. The total number of…

A:

Q: In 2016 the Better Business Bureau settled 76% of complaints they received in the United States.…

A: The question is based on a sampling dist. of a popl. prop. Given : Popl. prop. of compl. settled for…

Q: The following partial differential equation a²U = a ax². du Ət Find the finite difference…

A: Given partial differential equation is: ∂U∂t=α∂2U∂x2 ……………………………(1) Discretization schemes are given…

Q: A random sample of 121 checking accounts at a bank showed an average daily balance of $280. The…

A: Central limit theorem states that if the sample size, n is large, then the sampling distribution…

Q: Luke is fiv year ago, E

A:

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function f(r,…

A:

Q: 2. Let G be a group and let H be a subgroup of G. Define N(H) = { x = G | xHx™¹ = H}. Prove that…

A:

Q: Answer the question in 30 mint and gets thumbup

A:

Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: Kilo 0,52 1,04 1,39 1,74 2,07 2,5 gol yil15,3 13,5 208 24,9 26,1 271 27,3 According to the table 25…

A: The objective is to compute the value of ∫02.5gxdx with approximately minimum error. The table of…

Q: Given that y(a) = f(9(x)) and g(3) = 1, gʻ (3) = 2, f'(1) = 2, compute y' (3). x° + 2x Let f(x) x3…

A:

Q: 16.1 - M 13-1 11 9

A:

Q: Sketch the graph of a function f that is defined on R and continuous except for the stated…

A: A function fx is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(x)

Q: Suppose a random sample of size 43 is selected from a population with o = 11. Find the value of the…

A: Here, sample number is 43 and standard deviation is 11. A- sample taken from population, it is…

Q: 5. Sketch the graph of the logarithmic function f(x) = log, x, State the domain, range and…

A: This question is based on Logarithmic graph and it's properties.

Q: efine xHx-1= {xhxh Hx is a subgroup of G. His cyclic, then xHx E H is cyc

A: Given: G and H be group and subgroup. xHx-1=xhx-1|h∈H