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3 years ago

Select the procedure that can be used to show the converse of the

Mathematics

2 answers:

lukranit [14]3 years ago

8 0

Answer:

Step-by-step explanation:

poizon [28]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

X: x is a positive counting number less 25}

rewona [7]

Answer:

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus,

Set A will be:

$A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}$

The Cardinality of the set

The Cardinality of the set represents the total number of elements in a given set.

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

3 0

3 years ago

If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

8 0

4 years ago

In making plastics a colourless gas is used and some will leak into the air. The manufacturer has given instructions to halt pro

olga_2 [115]

I dont know :/ ............

6 0

3 years ago

Cool Scoops ice cream shop offers 60 different one-topping sundaes. If there are 5 flavors of ice cream, how many toppings are t

Alja [10]

How you would solve this problem is:

60 divided by 5 = 12

So there will be 12 toppings.

3 0

3 years ago

Read 2 more answers

Histogram help!(look at the picture)The histogram below shows the admission cost of some theme parks across the country.How many

Andrei [34K]

Answer:

Step-by-step explanation:

5+7=12

5 have 7-14

7 have 15-22

The final answer is 12

3 0

3 years ago