(a) To write: The converse of the given true statement “if n is any prime number that is greater than 2 then n + 1 is even” and give a counter example showing that the converse is false.

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Answer 1

Question

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

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Match the division problem on the left with the correct quotient on the left. Note that the denominators of the reminders are omitted and replaced with R. 1) (k3-10k²+k+1) ÷ (k − 1) 2) (k4-4k-28k45k+26)+(k+7) 3) (20k+222-7k+7)+(5k-2) 4) (3+63-15k +32k-25)+(k+4) 5) (317k 13) ÷ (k+4) - 6) (k-k+8k+5)+(k+1) 7) (4-12k+6) + (k-3) 8) (3k+4k3 + 15k + 10) ÷ (3k+4) A) 3k3-6k29k - 4 B) 4k2 + 6 R 7 C)²-9k-8- R D) 4k2+6x+1+ E) 10 Elk³-5-12 R 9 F) k² - 4k R 9 R G) k3-3k2-7k+4 H) k³-k²+8 - 3 R - R 9 R

1. Determine whether the following sets are subspaces of $\mathbb{R}^3$ under the operations of addition and scalar multiplication defined on $\mathbb{R}^3$. Justify your answers.(a) $W_1=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1=3 a_2\right.$ and $\left.a_3=\mid a_2\right\}$(b) $W_2=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1=a_3+2\right\}$(c) $W_3=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: 2 a_1-7 a_2+a_3=0\right\}$(d) $W_4=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1-4 a_2-a_3=0\right\}$(e) $W_s=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: a_1+2 a_2-3 a_3=1\right\}$(f) $W_6=\left\{\left(a_1, a_2, a_3\right) \in \mathbb{R}^3: 5 a_1^2-3 a_2^2+6 a_3^2=0\right\}$

The annual aggregate claim amount of an insurer follows a compound Poisson distribution with parameter 1,000. Individual claim amounts follow a Gamma distribution with shape parameter a = 750 and rate parameter λ = 0.25. 1. Generate 20,000 simulated aggregate claim values for the insurer, using a random number generator seed of 955.Display the first five simulated claim values in your answer script using the R function head(). 2. Plot the empirical density function of the simulated aggregate claim values from Question 1, setting the x-axis range from 2,600,000 to 3,300,000 and the y-axis range from 0 to 0.0000045. 3. Suggest a suitable distribution, including its parameters, that approximates the simulated aggregate claim values from Question 1. 4. Generate 20,000 values from your suggested distribution in Question 3 using a random number generator seed of 955. Use the R function head() to display the first five generated values in your answer script. 5. Plot the empirical density…

Answer 2

Question

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

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Answer 3

Question

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Expert Solution & Answer

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Answer 5

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Answer 6

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

Answer 7

Chapter 3.2, Problem 25ES

To determine

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

Answer 8

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

Answer 9

To determine

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

Answer 10

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Answer 11

To determine

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 3.1 - If P(x) is a predicate with domain D, the truth...Ch. 3.1 - Some ways to express the symbol in words are .Ch. 3.1 - Some ways to express the symbol in words are .Ch. 3.1 - A statement of from xD , Q(x) is true if, and only...Ch. 3.1 - A statement of the form xD such that Q(x) is true:...Ch. 3.1 - A menagerie consists of seven brown dogs, two...Ch. 3.1 - Indicate which of the following statements are...Ch. 3.1 - Let R(m,n) be the predicate “If m is a factor if...Ch. 3.1 - Let Q(x,y) be the predicate “If xy then x2y2 ”...Ch. 3.1 - Find the truth set of each predicate. Predicate:...

(a) To write: The converse of the given true statement “if n is any prime number that is greater than 2 then n + 1 is even” and give a counter example showing that the converse is false.

Solution Summary: The author explains that the converse of the given true statement "if n is any prime number that is greater than 2 then 9+1 is even" and gives a counter example showing that it is false.

Concept explainers

Videos

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Want to see the full answer?

Chapter 3 Solutions

(a) To write: The converse of the given true statement “if n is any prime number that is greater than 2 then n + 1 is even” and give a counter example showing that the converse is false.

Solution Summary: The author explains that the converse of the given true statement "if n is any prime number that is greater than 2 then 9+1 is even" and gives a counter example showing that it is false.

Concept explainers

Videos

(a) To write: The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

(b) To write: The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

(c) To write: The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.

Want to see the full answer?

Chapter 3 Solutions

(a)

To write:

The converse of the given true statement “if n is any prime number that is greater than 2 then n+1 is even” and give a counter example showing that the converse is false.

(b)

To write:

The converse of the given true statement “if m is any odd number then 2m is even” and give a counter example showing that the converse is false.

(c)

To write:

The converse of the given true statement “if two circles intersect exactly at two pints then they do not have common a common center” and give a counter example showing that the converse is false.