All categories

3 years ago

Select a counter-example that makes the conclusion false.

2 answers:

6 0

Conclusion : the difference of 2 positive numbers is always positive.
7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1

Counter example : 3 - 7 = -4 , 5 - 8 = -3, 8 - 9 = -1

Leya [2.2K]3 years ago

4 0

The statement is False.

For this, it is enough to show a case in which the subtraction of two positive numbers is negative.

For this, we must choose two numbers.

Suppose we want to subtract the following numbers:

Number 1: 5

Number 2: 10

Subtracting both numbers we have:

$5 - 10 = -5$

We observe that the result is negative. Therefore, the given conclusion is false.

Answer:

Counterexample:

$5-10 = -5$

You might be interested in

The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies. Based on this dat

Ahat [919]

Answer:

Option B.

Step-by-step explanation:

It is given that,

Last year the total number of movies = 108

Number of action movies = 15

Based on this data, we need to find a reasonable estimate of the probability that the next movie is an action movie.

So, the required probability is:

$\text{Probability}=\dfrac{\text{Number of action movies}}{\text{Total number of movies}}$

$\text{Probability}=\dfrac{15}{108}$

Hence, the correct option is B.

7 0

3 years ago

Read 2 more answers

Y>2x y>3 orderd pair

Ipatiy [6.2K]

<h2>Answer:</h2>

<h2>Step-by-step Explanation;</h2>

$y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2}$

<h2 />

<h2>HOPE IT HELPS!!!</h2>

<h2>I NEED BRAINLIEST ✌️</h2>

6 0

3 years ago

Please explain how you got your answers! (: Solve the problem by using the counting principle.

Natasha2012 [34]

A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468

B. P(1st choice) = no of novels / total books = 3/6 = 1/2
    P(2nd choice) = no of remaining novels/ total remaining books = 2/5
    P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)

C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
    P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
    P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)

D. P(1st choice) = no of history books / total books = 1/6
    P(2nd choice) = no of novels/ total remaining books = 3/5
    P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)

7 0

3 years ago

A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video

ankoles [38]

Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54

Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.

3 0

3 years ago

Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with ti

Katarina [22]

Answer:

So, the relationship with i hours as the indecent variables would be

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Step-by-step explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint =

In i hours, she can paint =

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

Now, Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

6 0

3 years ago

Read 2 more answers