A bag contains 12 balls which are numbered from 1 to 12. If two ball are selected at random, what is the probability that the total sum of the balls will be an even number

Answers

Answer 1

Answer:

5/11.

Step-by-step explanation:

The number of ways 2 balls can be selected = 12P2

= 12!/10!

= 12*11

= 132.

There are 6 even numbers and 6 odd numbers in the bag.

If both numbers drawn are even there are 6P2 = 30 ways that sum is even.

If the 2 numbers are odd there are also 30 ways that sum is even.

Any other combination wil be odd.

So the required probabilit = 2(3) / 132

= 60/132

= 5/11.


Related Questions

Given that
5
x
:
9
=
7
:
3
Calculate the value of
x
.
Give your answer in its simplest form.

Answers

Answer:

x=21/5

Step-by-step explanation:

5x:9 = 7:3

Turn the ratios into fractions:

5x/9 = 7/3

Then cross mutiply

15x=63

x=21/5

what is this??
i need help

Answers

Answer:

uhmm sry i dont understand too

I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4

Answers

By using the definition of even and odd functions, we will see that:

a) oddb) even.c) neitherd) even.What is an odd and an even function?

A function f(x) is even if:

f(x) = f(-x)

And the function is odd if:

f(-x) = -f(x).

Now let's check it for all the given functions.

a) f(x) = x^3 - 7/x

-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/x

So this function is odd.

b)  f(x) = |-x|

-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|

This function is even.

c) f(x)=25-x^3

-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3

This function is neither odd nor even.

d) f(x) = 72-x^4

-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)

This function is even.

If you want to learn more about odd and even functions, you can read:

https://brainly.com/question/2284364

Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.

Answers

Hello!

Total brownies: 16 (so that's the denominator of the fraction)

Brownies with nuts: 6 (that's the numerator of our fraction)

The fraction is:

[tex]\bf{\displaystyle\frac{6}{16}}[/tex]

Divide the numerator (6) and denominator (16) by 2:

[tex]\bold{\displaystyle\frac{3}{8}}[/tex]

That's the answer.

I hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

⇒ Given:

Conner made 16 brownies.

Put nuts on 6 brownies.

⇒ To Find:

Write the simplified fraction of the brownies that had nuts.

⇒ Solution:

Since Conner made 16 brownies:

16 brownies is the total also known as denominator of a fraction.

Since, Conner put nuts on 6 brownies:

6 brownies is the ones that has nuts also known as numerator of a  fraction.

Thus, the fraction is [tex]\frac{6}{16}[/tex].

It a even number thus, we can simplify:

[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]

[tex]=\frac{2\cdot \:3}{16}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8[/tex]

[tex]=\frac{2\cdot \:3}{2\cdot \:8}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{3}{8}[/tex]

Therefore, the simplify fraction of the brownies that had nuts is [tex]\frac{3}{8}[/tex]

`~lenvy~`

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

76

Step-by-step explanation:

I D K this is a puzzle

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans, resulting in a crop yield of 40. 5 bushels per acre. To the nearest whole acre, how many acres were harvested? 232 acres 252 acres 285 acres 295 acres.

Answers

The total harvested area is 232 acres .

To determine the number of acres harvested, we simply have to divide the bushels of soybean by the crop yield.

Mathematically we can write it as,

What is the formula for the total land area?

The total land area = bushels of soybean / bushels per acre

Substituting the known values,

[tex]Total land area = 9396 / 40.5 = 232[/tex]

Therefore, 232 acres were harvested.

To learn more about the area visit:

https://brainly.com/question/25292087

Answer:The total harvested area is 232 acres

Step-by-step explanation:

Simplify 3a+2(4a-b)
please simplify this equation

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

3a+2(4a-b)=

3a+8a-2b=

[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]

xLasersx✨

Carrie makes 27 liters of lemonade 8 people share their lemonade leafly

Answers

Answer: 3.375

Step-by-step explanation:

27 divided by 8 equals 3.375

Assuming each of the 8  person gets equal share of the whole 27 litre lemonade, the amount of lemonade each person would get is 3.375 litres.

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )

For this case, we're specified that:

Amount of lemodnade Carrie made = 27l itresNumber fo people in which this lemonade will be divided = 8

Assuming that they all get equal share and we want to know the amount each person will get, we get:

Amount of lemonade each of those 8 person would get = 27 litres / 8

[tex]27/8 = 3.375[/tex]

Thus, each person gets 3.375 litres of the considered lemonade.

Learn more about division here:

https://brainly.com/question/26411682

#SPJ4

An electrician charges $55 an hour for labor and an initial fee of $95. The total cost c equals 55 times the number of hours x plus 95. Enter an equation for the relationship and use the equation to complete the table.

Answers

Answer:

C = 55h + 95

Step-by-step explanation:

That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.

For example, if he worked for 2 hours then

C = 55(2) + 95

C = 110 + 95

C = $205

If you found my answer helpful, please rate branliest. It's free to do so and would help me out a ton!

Simplest radical form please !!Need answers asap

Answers

Answer:

11) [tex]5\sqrt{7}[/tex] yd

12) [tex]2\sqrt{10}[/tex] cm

13) 9 ft

14) [tex]\sqrt{95}[/tex] cm

15) [tex]5\sqrt{5}[/tex] km

16) [tex]\sqrt{39}[/tex] yd

What is the value of x

Answers

Answer: 37

Step-by-step explanation:

74=2x

37=x

You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.

I'm just confused about how the answer choices are only 108 and 18.

Answer:

[tex]\huge\boxed{\sf x = 37}[/tex]

Step-by-step explanation:

Since, vertically opposite angles are equal:

74 = 2x

Divide 2 to both sides

74 / 2 = x

37 = x

OR

x = 37

[tex]\rule[225]{225}{2}[/tex]

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?

Answers

Answer:

[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]

Step-by-step explanation:

First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].

Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].

Finally, we have all of our necessary information to set up all of our partial fractions.

This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.

William was offered a job that paid a salary of $39,000 in its first year. the salary
was set to increase by 2% per year every year. if william worked at the job for 25
years, what was the total amount of money earned over the 25 years, to the nearest
whole number?
i will give brainiest

Answers

Answer:

The answer is 19500

Step-by-step explanation:

2 times 25 is 50 so just multiply 39,000 by 50% and you get ur answer

What’s the greatest mad

Answers

Answer: Jason's team.

Step-by-step explanation: When finding the MAD, you need to find the mean of the data, which they said is 10.  The next step is to subtract numbers from the data from the mean, which is 10 for all three dot plots. For example, for Jason's team, we need to subtract all the 7's, 8's, 11's, 12's, and 13's, because those are the only parts of the plot with data.  Let's try subtracting 7 - 10.  The answer is -3, but we need to make it positive, because that's how data works, so it's actually 3.  You keep doing this for all three plots, which is provided below:

Jason's Team: 3, 3, 2, 2, 2, 1, 2, 3, 3, 3.

Hannah's Team: 3, 2, 2, 1, 0, 0, 1, 1, 3, 3.

Dion's Team: 1, 1, 1, 1, 0, 0, 0, 0, 1, 3.

Now, the next step is adding all these values and dividing it by ten, since that's how many numbers there are for the data.

Jason's Team MAD: 2.4.

Hannah's Team MAD: 1.6.

Dion's Team MAD: 0.8

As you can see, Jason's Team has the greatest MAD, which is your answer.

Let me know if this is right! :)

Please answer all three if you do i will mark brainliest

Answers

Answer:

1 positive correlation

2 A

3 negative

Step-by-step explanation:

Hope this helps!:)

In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?

Answers

Cosine is adjacent/hypotenuse
The adjacent side is 13.4 feet
The hypotenuse is 17.4 feet

13.4/17.4

Given the side lengths, determine if the triangle is acute, obtuse, right, or not a triangle. 3.4, 3.3, 2.4

Answers

the answer would be obtuse

A collectible car has been going up in price by 10% each year. if the car is already worth $29,000, how much will the car be
worth in 5 years?

Answers

The worth of the collectible car in five years if its value is going up by 10% every year would be $46,704.79

What is the worth of the car?

If the value of the  collectible car is increasing with time, it is said that the  collectible car is appreciating in value.

The formula for calculating future value with appreciation:

FV = P (1 + r)^n

FV = Future value P = Present value R = interest rate N = number of years

$29,000(1.1^5) = $46,704.79

To learn more about future value, please check: https://brainly.com/question/18760477

The two figures are congruent. Find the values of the unknown variables.

Answers

Answer:

y = 71

z = 18

x = 14

Step-by-step explanation:

Figure on the right is simply figure on the left but flipped on its side. we know this because the question tells us the shapes are congruent (which means equal, the same)

what's the periotic table

Answers

Answer:

the table in which element are systematically arranged into various period based on their similar properties is called periodic table

Answer: it is a table of all the elements and shows you all the abbreviations for each one.

Step-by-step explanation:

there is a picture attached if you want to see what it looks like.

It basically just tells and shows you about all the different materials and/or elements.

Hope this helps! :)

A cyclist travels a distance of 837 1/2 feet in 25 seconds. The cyclist travels at a constant rate. What is the unit rate, in feet per second, at which the cyclist travels?


PLEASE

Answers

Answer:

[tex]\boxed{33.5 \ \text{feet/second}}[/tex]

Step-by-step explanation:

To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.

Note: Since the cyclist travels at a constant rate, unitary method can be used.

[tex]\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}[/tex]

[tex]\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}[/tex]

Divide both sides by 25:

[tex]\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}[/tex]

[tex]\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}[/tex]

[tex]\rightarrow \boxed{33.5 \ \text{feet/second}}[/tex]

Learn more about unitary method: https://brainly.com/question/19423643

please help me with this its so easy .

recommend me a bunch of animmes---s (not the cringe kind that have 0 plot)

(do not reccomend any animes that are about a shy anti social boy who bags a social popular girl. )

Answers

yo i recommend googling best watched animes off all time or from the anime community itself.

Answer:

Megalobox black lagoon doraemon fate/grand order made in abyss high rise invasion dusk maiden of amnesia mahou shoujo site black butler ergo proxy I think are some

Step-by-step explanation:

Can someone help me with 9 and 10 i will give brainiest

Answers

Answer:

4y-3

Step-by-step explanation:

16. A car's value is declining continuously. The car is currently 3 years old and has a
value of S18000. The car sold for $26,000 brand new. What is the rate of depreciation?

Answers

Answer:

I believe your answer is 2666.67

Step-by-step explanation:

26,000-18,000=8,000

8,000/3=2666.6667

I hope this helped :D

Which of the equations below describes a circle with radius 7? A. x2 - y2 = 7 B. x2 + y2 = 49 C. x2 + y2 = 77 D. x2 + y2 = 7​

Answers

Answer:

x2-y2=49

Step-by-step explanation:

the radius is the square root of the number after the equal sign.  So the only choice with a number with square root 7 is x2-y2=49

Find the value of x

Tell wether the side lengths form a Pythagorean triple

Answers

x = 6 root 2
Equation: square root of (9 squared - 3 squared)
I believe it is not a triple considering the answer is not a whole number but I could be wrong.

Answer:

8.49 and No

Step-by-step explanation:

C² - b² = a² (pythagorus rule rearranged for a²)

9² - 3² = a²

81 - 9 = a²

a² = 72

a = 8.49 and no they aren't a triple.

Help for question 1 and 2​

Answers

Answer:

(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

Can someone work this one out with me please

Answers

Answer:

46°

Step-by-step explanation:

Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°

Hi there!

Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.

Therefore, m∠M = 90°.

Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.

180° = ∠M + ∠N + ∠K

180° = 90° + 44° + ∠K


Combine like terms:
180° = 134° + ∠K

Subtract:
180° - 134° = ∠K

∠K = 46°

A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?

Answers

Answer: $804

Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.

a snowboard originally cost $230. the sport’s store is having a sale of 10% off of items less than $100 and 20% off of items above $100. the sales is 12%. what is the final price for the snowboard, including tax?

Answers

well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]

now let's apply as 12% tax on that sale amount

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]

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