5. Napier's inequality Here are two pictorial prools that 1 Inb Ina - b > a > 0 Explain what is going on in each case.

Q: Prove the inequality: P(A n B) ≥ 1 - P(A') - (B')   It reads: Probability of A intersect B is…

A: The inequality to be proved is : PA∩B≥1-PA'-PB' Proof: The PA∪B  is given as: PA∪B=PA+PB-PA∩B But…

Q: 3. If x >0 show that |(₁ + 2) ¹/³² - ( ₁ + 1 ² - √ ² ) | ≤ 3 ²². )1/3 S Use this inequality to…

A: We recall the binomial theorem for fractional index.

Q: 8. Use the Triangle Inequality to prove that for any three points A, B, and C, AB - BC < AC < AB +…

A: For any triangle sum of any 2 sides is greater than equal to other side.

Q: For all a > 0 and b> 1, the inequalities In (n) ≤n", n < b are true for n sufficiently large (this…

A: The main objective is to write an inequality comparing (ln(n))8 and n. The expression ln n is…

Q: 4. What is the solution to the inequality below? 6-x+ *Z<9-X-

A:

Q: Prove the Bonferroni's inequality: P(EF) > P(E) + P(F) – 1

A: We know that  P(E U F) = P(E) + P(F) - P(E ∩ F)

Q: (alb1 + a2b2+ --- + abnj s (af+ až+ --- + ahbf + bž+ for all ak. bk E R, ISkSn.

A:

Q: ju the linear functiono from IR into proof that my ove Lipschitz, low is the triang le inequality…

A: It is given that In the proof that linear function from IR^n into IR^m are lipschitz

Q: Determine whether the given matrix A is diagonalizable. If so, find a matrix P that diagonalizes A…

A: Given matrix A=01-12 and A=200121-101To find: A matrix P that diagonalizes A and a diagonal matrix…

Q: prove the Bolzano-Weierstrass theorem by using the nested interval property

A: We have to prove that the Bolzano-Weierstrass theorem by using the nested interval…

Q: 1)90% of adult females hace height h (in feet) that satisfies the inequality  |h-5.35/0.21| ≤ 2…

A: The inequality is given by

Q: In a bond paper, makes use of cut outs to present Triangle Inequality Theorem. Construct you own…

A:

Q: Verify the discrete metric d2 satises the triangle inequality.

A:

Q: Use the triangle inequality to establish the following inequalities: (b) ||c| – |d|| \p - 기 ()…

A:

Q: 5. (P15, Рage 203 ' ) Using Cauchy's Inequality V u, v E R, to prove that if a > 0 and b > 0, then…

A:

Q: so there is no solution on that interval?

A:

Q: Suppose that 3 < f'(x) < 5 for all values of r. Use the Mean Value Theorem to find values for the…

A:

Q: Describe each of the following intervals both graphically and in terms of inequalities. (a) (-1, 2)…

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

Q: Prove that for x&gt;0 the inequality lnx≤x−1 is true.

A: Given data:     The given inequality is: . The given expression can be written as, Here, f(x) is…

Q: ») Show that |A + B| < |A| + |B|.( Tringle quality).

A:

Q: lease solve the following inequality to two decimal places where 0pi

A: Given inequality where (There is a misprint in the question 2x written instead of 2pi)

Q: Solve the following inequality graphically. Do any rounding in your answer to 3 decimal places. 6x2…

A: 6x2-4x-8&lt;4x3-6x2-3⇒4x3-12x2+4x+5&gt;0 Now the graph is,

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.