If x an y are natural numbers then x-y is a natural number what is the converse of this statement

Answers

Answer 1

9514 1404 393

Answer:

  If x-y is a natural number, then x and y are natural numbers.

Step-by-step explanation:

The converse of ...

  If P, then Q.

is ...

  If Q, then P.

__

Here, we have ...

  P = "x and y are natural numbers"

  Q = "x-y is a natural number"

So, the converse is ...

  If x-y is a natural number, then x and y are natural numbers.

_____

In this case, the converse is false.


Related Questions

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation:

In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.

The information provided are:

[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.

Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]

   [tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]

Thus, the test statistic value is -2.43.

Compute the p-value of the test as follows:

 [tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.0188.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0188 > α = 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Please help
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
13 meters
14 meters
200 meters
208 meters

Answers

Answer: 14 meters

Step-by-step explanation:

Pythagorean Theorem formula = a^2 + b^2 = c^2

8^2 + 12^2 = c^

64 + 144 = 208

Now find the square root of 208 = 14.422

Answer:

You answer is 24! hope yhis helps

Step-by-step explanation:

John had a baseball cards until he gave x cards away. How many cards does he have now?

Answers

Answer:

I don’t think the question makes sense

Classify the following triangle. Check all that apply.
A. Right
B. Isosceles
C. Obtuse
D. Acute
E. Equilateral
F. Scalene

Answers

Answer:

is there a chart to this question?

because I can't tell the answer just by looking at it

Step-by-step explanation:

it's a b c d and f are all the correct answers

10x - 6 = 6x + 6
i need the answer but i think its 3

Answers

Answer:

= 3

Step-by-step explanation:

Add  6 to both sides of the equation 10 − 6 = 6 + 6

10x-6=6x+6 10x−6=6x+6

Simplify Add the numbers Add the numbers again 10 = 6 + 12

Subtract 6 from both sides of the equation

10 = 6 + 12

10−6=6+12−6

Simplify

Combine like terms

Combine like terms again

4 = 12

Divide both sides of the equation by the same term

4=12

[tex]\frac{4x}{4}[/tex] =[tex]\frac{12}{4}[/tex]

Simplify Cancel terms that are in both the numerator and denominator then Divide the numbers.

x = 3

13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y

Answers

Answer:

2x-10 = 65-x

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

The table below shows the results of a survey of 1000 American college students and their age breakdown. Use the table to answer questions

Answers

Answer:

c

Step-by-step explanation:

The answer for this is c

Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

9514 1404 393

Answer:

  y = 2x - 4

Step-by-step explanation:

You want an equation with an x-coefficient that is not 1/2.

  2/4 = 0.5 = 1/2

so, the first three answer choices don't meet problem requirements.

The line with equation ...

  y = 2x -4

is not parallel to y = 1/2x -6.

plz help hurry ill give brainllest
Use the number line to determine where to plot each rational number.

4.2 is

StartFraction 7 over 8 EndFraction is

Negative StartFraction 9 over 5 EndFraction is

Answers

Answer:

Step-by-step explanation:

Use the number line to determine where to plot each rational number.

4.2 is

✔ between 4 and 5, closer to 4

StartFraction 7 over 8 EndFraction is

✔ between 0 and 1, closer to 1

Negative StartFraction 9 over 5 EndFraction is

✔ between -1 and -2, closer to -2

The number 4.2 is between the 4 and 5, also closer to 4, Agian the number 7/8 between 0 and 1, closer to 1, and -9/5 number between -1 and -2, closer to -2

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have numbers 4.2

The number 4.2 is between the 4 and 5, closer to 4

=7/8 = 0.875

Now 0.875 number between 0 and 1, closer to 1

-9/5 = 1.8

The 1.8 number between -1 and -2, closer to -2

Thus, We can conclude that number 4.2 is between the 4 and 5, closer to 4.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

I have no idea how to do this

Answers

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

2.6586 divided by 0.633

Answers

Answer:

4.2

Step-by-step explanation:

The answer would 4.2
2.6586 divided by 0.633 equals 4.2

I need help please ​

Answers

Range is y so we set -5x = whatever number you pick from the range values listed, so

-5x = -5  making x=1

-5x = 0 making x=0

-5x = 10 making x=-2

-5x = 15  making x=-3

The domain is {1,0,-2,-3}

Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2

Order the numbers from least to greatest.

first gets brainllest

Answers

-3,-2,-1/10,-0.8,1/2,1/2,7

Answer:

7, 0.8, 1/2, -0.8, -1/10, -2, -3,

Step-by-step explanation:

accidently put greatest to least just flip it i still want brainliest tho

Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope

Answers

where is the picture?

You have a coin with unknown probability p of coming up heads. You wish to generate a random variable which takes the values 0 and 1, each with probability 1/2. Assume 0 < p < 1. You adopt the following procedure. You start by flipping the coin twice. If both flips produce the same side of the coin, you start again. If the result of the first flip is different from the result of the second flip, you report the result of the first flip, and you are finished (this is a trick originally due to John von Neumann). (a) Show that, in this case, the probability of reporting heads is 1/2. (b) What is the expected number of flips you must make before you report a result?

Answers

Answer:

(a) Hence, the probability of reporting heads is 1/2.

(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).

Step-by-step explanation:

Solution:

To generate a random variable takes value 0 and 1.

Let 0 < p <1,

A coin is flipped twice.

(a) Probability of reporting head is 1/2.

The result of two toss is either HT or TH.

In this case we used conditional property, Given that you got either HT or TH,

Probability of occurring head or tail:

P (1ST = H| HT or TH]

= P (H) / P (HT or TH)

= P (HT) / P (HT or TH)

= P (1-P) / P (1-P) + (1-P)P

= P (1-P) / 2P (1-P)

=1/2

Hence, the probability of reporting heads is 1/2.

(b) Expected number of flip before report a result.

The probability of reporting a result on each trial is:

P (HT or TH)

=P (HT) + P (TH)

=P (1-P) + (1 –P) P

= 2P (1 –P)

Since, E(X) = 1 / P

Therefore, the expected number of such trial is 1 / 2p (1 –p).

Anyone willing to answer this?

Answers

Answer:

1. perpendicular; the opposite?

2. Parallel; the slopes are the same?

Step-by-step explanation:

Just use Math

way

Started at 20° and dropped 4° each minute

Answers

Answer:

hey mate I couldn't understand ur question.......plz recheck....

Answer:

What's the rest of the question?

Step-by-step explanation:

One number is 2 times another. The sum of their reciprocals is 15 Find the numbers.

Answers

Answer:

7.5 i think

Step-by-step explanation:

pls help will give brainliest

Answers

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

I need help ASAP. Thank you in advance! The choices are true & false.

Answers

The answer is b I think

Can you guys help me with this geometry problem tysm

Answers

Answer:

m∠UVW = 12°

m∠XYZ = 78°

Step-by-step explanation:

m∠UVW = (x - 10)°

m∠XYZ = (4x - 10)°

∠UVW + ∠XYZ = 90°

(x - 10) + (4x - 10) = 90

   x - 10 + 4x - 10 = 90

               5x - 20 = 90

                       5x = 110

                         x = 22

m∠UVW = (22 - 10)° = 12°

m∠XYZ = (4(22) - 10)° = 78°

Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?

Answers

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

2x^2+2=3x complete the square i need full explaination ASAP

Answers

Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Оооо
20
24

Answers

Answer:

24

Step-by-step explanation:

How long does it take for the baseball to reach its maximum height? (2)
b. What was the initial height of the ball? (2)


form A : h(t)= -16t^2 + 96t +7
form b: -16(t-3)^2 +151


help please

Answers

Answer: ha no way have the same question

Step-by-step explanation:

What is the estimated sum of 503, 472, 486, 499, 539, and 522?

Answers

Answer:

3021

Step-by-step explanation:

Answer:

Your answer is: Estimated is: 3,000

The real answer was:

3,021.

Step-by-step explanation:

Hope this helped : )

How do you do these questions and explanations please?

Answers

Step-by-step explanation:

1. Standard error is SE = σ / √n.  As n increases, SE decreases.

2. Degrees of freedom is d = n − 1.  As n increases, d increases.

3. The t statistic is t = (x − μ) / SE.  As SE decreases, t increases.

4. As n increases, t* decreases and approaches z*.

5. As the t statistic increases, the P-value decreases.

6. Margin of error is t* times SE.  As n increases, MoE decreases.

7. The width of the confidence interval is 2 MoE.  As MoE decreases, the width of the confidence interval decreases.

solve the system of equations
y=x-2
x+y=10

Answers

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

Plz answer I will mark u brainiest!!!!

Answers

Answer:

65

Step-by-step explanation:

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Escaping a dire economic situation at home, they moved to New Jersey, where they had friends and family, seeking a better life, and then moved to Boston after I was born. Throughout my childhood I watched my parents try to become legal but to no avail. They lost their money to people they believed to be attorneys, but who ultimately never helped. That meant my childhood was haunted by the fear that they would be deported. If I didnt see anyone when I walked in the door after school, I panicked. And then one day, my fears were realized. I came home from school to an empty house. Lights were on and dinner had been started, but my family wasnt there. Neighbors broke the news that my parents had been taken away by immigration officers, and just like that, my stable family life was over. Not a single person at any level of government took any note of me. No one checked to see if I had a place to live or food to eat, and at 14, I found myself basically on my own. While awaiting deportation proceedings, my parents remained in detention near Boston, so I could visit them. They would have liked to fight deportation, but without a lawyer, and with an immigration system that rarely gives judges the discretion to allow families to stay together, they never had a chance. Finally, they agreed for me to continue my education at Boston Arts Academy, a performing arts high school, and the parents of friends graciously took me in. I was lucky to have good friends, but I had a rocky existence. I was always insecure about being a nuisance and losing my invitation to stay. I worked a variety of jobs in retail and at coffee shops all through high school. And, though I was surrounded by people who cared about me, part of me ached with every accomplishment, because my parents werent there to share my joy. My family and I worked hard to keep our relationships strong, but too-short phone calls and the annual summer visits I made to Colombia didnt suffice. They missed many important events in my life, including my singing recitalsthey watched my senior recital on a tape I sent them instead of from the audience. And they missed my prom, my college application process and my graduations from high school and college. My story is all too common. Every day, children who are U.S. citizens are separated from their families as a result of immigration policies that need fixing. I consider myself lucky because things turned out better for me than for most, including some of my own family members. When my brother was deported, his daughter was just a toddler. She still had her mother, but in a single-parent household, she faced a lot of challenges. My niece made the wrong friends and bad choices. Today, she is serving time in jail, living the reality that I act out on screen.* I dont believe her life would have turned out this way if her father and my parents had been here to guide and support her. I realize the issues are complicated. 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