84. a. Prove that e > 1 + x if x > 0. b. Use the result in part (a) to show that e 21+x + r.

Q: 4. Show that if ki = (X; – X)/[Σ(X; – Χ)2], then (a) Σ ki = 0; = (b) Σk? = 1/[Σ(X - X)]; (c) Σk;(X;…

A:

Q: For any n e N, let An = {x € R | –n <x < n}. Prove that NneN An = A1. (Recall that we define 0 ¢ N.)

A:

Q: If e = 26, then x =

A: Given  e7x=26 We have to find the value of x.

Q: 62 0 <I <1 Q3 Compute E (X) given that fx (x) otherwise

A: The formula of E(X) is,

Q: Example 4: If K. stock value of XYZ Ltd. for: = 11% and E = 715, calculate the 1) r= 12%

A:

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: Explain why when odd the mode pxofile odd 2 when is they correspond that even to are even

A:

Q: 62. a. Show that e>1+x for x > 0.

A: We will answer the first question only as those all are different and we don't answer multiple…

Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

A:

Q: Suppose E={O1,O2}, and F={O1,O3}F. If Pr[E]=0.6 and Pr[F]=0.61, wha

A: From the given information,   E={O1,O2}, and F={O1,O3}F. If Pr[E]=0.6 and Pr[F]=0.61   Here, the…

Q: 6. If ANML ~ASRL find the value of x. M. R 28 24 Зх - 1 x+7 S N Sign o

A: we have to find the value of x

Q: If e = 23, then z 4x

A:

Q: If iz' +:-:+i = 0, then show that E=1.

A: iz3+z2−z+i=0   ⟹iz3+i2z+z2+i=0   ⟹iz(z2+i)+(z2+i)=0   ⟹(z2+i)(iz+1)=0   ⟹(z2+i) i (z−i)=0   ⇒z2=−i…

Q: d) 85% of all students finish the activity in less than secon Submit Question

A: X~N( μ = 38.6 , ? = 6.3 ) μ = 38.6 , ? = 6.3 Z-score =( x - μ )/?

Q: (b). Find the value of z if e =1.

A: Solution: Consider the equation : ez = 1 Now, taking natural logarithm on both sides we have ln ez =…

Q: 3. Prove the Archimedean Property, if x ER. then there exists K E N such that r SK.

A:

Q: 3 a. Suppose h(n)= 15n° + n and f(n) = 14n°. Is f(n)EN(h(n))? Use the definition of Omega notation.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Show that when |+ 1|<1, = =1+E(n+1)(=+1)"

A:

Q: Find E (X) and E(X²) and using these values evaluate E[(2X + 1)²]

A:

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n&gt;1              ..(i) We have to show that Sn  is not an…

Q: 3 E in (1 -) -in2 , . =-In2 =1 k2 –1 k=2

A: We will  use the limit of partial sum

Q: a) Show that E-o(-1)*(")=0, and then verify that () + C) + C') + -- - C) + (") + (") + -- .. b)…

A:

Q: 9. The population of a certain country is given as P(x) and P(x) is in millions. How many years…

A:

Q: to: explicitly state the te- Σ2/ n=1

A:

Q: If e = 17, then x =

A:

Q: Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and…

A: Define X1: random variable for the power of the explosive in the year 2009 X2: random variable for…

Q: Using only a simple calculator, find the values of k such that det(M)=0, where M=⎣−1 k 0 1 1 k 1 1…

A:

Q: 1 Evaluate - -x e +e

A:

Q: If e = 25, then z =

A: Given that

Q: What is the general solution of the following ODE / + 4 =

A: Here, ODE is

Q: Let h(x) = e" + 2x. Use the Intermediate Value Theorem to show that e" + 2x = 0 has at least one…

A: First it is required to show that h(x)=0 has at least one solution, where hx=ex+2x

Q: 11. Suppose A\BC C. Prove that if x E A\C then x E B.

A:

Q: in [1, 5] then the m for f(x) is

A:

Q: Show that for any n E N, n(n + 1)(2n + 1) k=0

A: The solution is given as

Q: Show that E-o (-1)*(")=0, and then verify that () + C) + C)+ - = (") +C) + () +-- -G) + G) + G)-…

A: We can show given identity by definition of Binomial theorem:

Q: What can you say about z if |e|= 1. Ques

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: 6- Identify the p-value for testing H0: β0 = 0 versus H1: β0 ≠ 0. Using the p-value determine…

A: From the given data of X, Y as shown below

Q: Given g(x) = x - x-6, which of the following is true? Og(x) > 0 when a E (-2, 3] O g(x) 0 when x E…

A: Given that, g(x) = x2 −x −6. To find : To find true option from the given options

Q: Prove the following + if a Ez then 4 is

A: Divisibility is the basis of the theory of numbers. A number is referred to be divisible by another…

Q: Suppose E(X) = 4 and E[X(X – 1)] = 25.5. (a) What is E(x2)? [Hint: First verify that E[X(X – 1)] =…

A: Given: EX=4EXX-1=25.5 So, a) EX2-X=25.5EX2-EX=25.5EX2=25.5+4=29.5

Q: Write In (e5 x 2) in term of In x. In (e x²) =

A:

Q: If e = 14, then z =

A: Take logarithm both side

Q: 5. Imagine that the number of COVID-19 cases is increasing according to the following equation,…

A: If we look at the graph

Q: (b) Suppose that for a particular disease c = 0.6/day, and b = 10/day. What value must k remain…

A:

Q: Let I be ar. V. has a Binomial dist. B(n,@) with the Pid.f. fex; G)o-0^,X:o,n Show that fex;)…

A: Given that X is a random variable which has binomial distribution Bn,θ with p.d.f is given by:…

Q: If E(X) = 17, E(X2) = 298, find a lower bound for P(10 < X < 24) Please provide your working and…

A: From the provided information, E(X) = 17 E(X2) = 298

Q: Using only a simple calculator, find the values of k such that det(M)=0, where M=⎣4 k 0 1 1 k 1 11⎤.…

A:

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.