108 students choose to attend one of three after school activities: football, tennis or running. There are 40 boys. 37 students choose football, of which 26 are girls. 39 students choose tennis. 12 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.

Answers

Answer 1

Answer:

8/27

Step-by-step explanation:

First, we figure out how many students chose each school activity, so that we can find the probability of a student at random choosing running by putting (total running students)/(all students).

39 students chose tennis, as stated in the problem.

37 students chose football, as stated in the problem.

The total number of students who chose running must therefore be the the students who chose tennis and football, subtracted from the total number of students. 108 - 39 - 37 = 32, so 32 students chose running.

Therefore, the probability that a student at random chose running would be 32/108 or 8/27.


Related Questions

Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11

Answers

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.​

Answers

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16

please help If 25% of some number is 40, then what is 75% of that number?

Answers

Answer:

120

Step-by-step explanation:

25 X 3 = 75%    40 X 3 = 120

The 75 percent of the number whose 35% is 40 is evaluated being equal to 120

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Suppose the number we're taking about be 'x'.

Then, as stated in the question, we get:

25% of x = 40

or

[tex]\dfrac{x}{100} \times 25 = 40\\{x} \times \dfrac{25}{100} = 40\\\\x \times \dfrac{1}{4} = 40\\\\\text{Multiplying 4 on both the sides, we get:}\\\\x = 160[/tex]

Now, we've found the number. It is 160. Its 75% is evaluated as:

[tex]\dfrac{x}{100} \times 75 = \dfrac{160}{100}\times 75 = \dfrac{160 \times 3}{4} = 120[/tex]

Thus, the 75 percent of the number whose 35% is 40 is evaluated being equal to 120

Learn more about percent here:

https://brainly.com/question/11549320

Use substitution to solve the
following system of equations.
-2x + 4y = -18 AND x = y + 3

Answers

Answer:

x = -3 ; y = -6

Step-by-step explanation:

x = y + 3

-2x + 4y = -18

-2(y+3) + 4y = -18

-2y -6 + 4y = -18

2y = -12

y = -6

x = -6+3

x = -3

Answer:

x = -3    y = -6

Step-by-step explanation:

x = y + 3

x - 3 = y

-2x + 4(x - 3) = -18

-2x + 4x - 12 = -18

2x = -6

x = -3

x = y + 3

-3 = y + 3

-6 = y

Please Help!!!!!!!!!

Answers

Answer:

The answer is D. 3

ANSWER QUICKLY PLEASE AND THANK YOU!!!

Answers

Answer:

2,3

Step-by-step explanation:

All u have to do is go to the x and y axis


A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?

Answers

A rope is 9 1/2 m long because 1/4 m that is your answer because I need points

Is 3x – 1= 7 and
3x = 8 equivalent

Answers

Yes simply get rid of the negative 1

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Take the 1st equation & solve it :-

[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]

Now, take the second equation :-

[tex]3x = 8[/tex]

[You can't further solve this equation]

So, from the 2 solved equations we can see that,

[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]

The answer will be Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Use an algebraic approach to solve the problem.

Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?

Answers

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

-31,-22,-33 find the 35th term

Answers

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

56:05
What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
O x= -6
=)
O x=-4
O y = -6
O y = -4
10 x

Answers

(-4×-6) =-24÷6=4

24÷4=6. x=4. x=6

Which is the graph of y-3=-2/3(x+6)

Answers

Answer:

I dont know what graph it requires to because u didnt show any graphs :)).....is there anything else I could help u with?

Step-by-step explanation:

How many solutions does the system of equations have? Pls help :(

Answers

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Infinitely Many

Hope this helps. Let me know if you have any doubts!

Does this graph represent a function? Why or why not?

A. No, because it is not a straight line.
B. Yes, because it is a curved line.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.

Answers

Answer:

c

Step-by-step explanation:

Which equation could be represented by the number line?

A. 3+ (-4) = -1
B. -3 + 4 = 1
C. 1 + (-5) = -4
D. -4 + 5 = 1

Answers

9514 1404 393

Answer:

  A. 3+ (-4) = -1

Step-by-step explanation:

The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.

35 points. Brainliest gets double the points.

Answers

the answer is 18 to the question

I dd the assignment and I didn't get the right answer, the correct answer was 3/4
Can you guys help me understand where does 3/4 come from

Answers

Answer:

Step-by-step explanation:

The 2 figures are similar so corresponding sides are in the same ratio.

The factor is the value that you have to multiply a side in the first rectangle to get the corresponding side in the second rectangle.

12 ----> 9  

So:

12 * f = 9     where f is the factor

f = 9/12 = 3/4.

IF A QUADRATIC FUNCTION OPENS UPWARD, DOES IT HAVE A MAXIMUM OR MINIMUM?

Answers

Answer: It will have a minimum.

(Please help, Very desperate and I have a limited amount of time to get this done please hurry asap)
Will give brainliest to first who answers

Answers

Answer:

Pic1 answers:

P(blue) = 4/26,

P(yellow or green) = 14/26

P(purple) = 0.0%

P(red or green) = 18/26

P(not pink) = 26/26

P(not blue) = 22/26

Pic2 answers:

P(u) = 1/12

P(Vowel) = 6/12

P(a,b,c,d,e) = 4/12

P(Not A) = 10/12

P(vowel or consonant) = 12/12

P(not an m,s,t) = 9/12

a sum of money was equally distributed among some boys
had there been 10 boys more​

Answers

Answer:

I think I know what question you are trying to write because it sounds like the question I did years ago.

It is Rs 200

Step-by-step explanation:

Your welcome! :)

Rs 200 ? it just reminds me of my old homework

15 points I really need help with this!! And please have work not just the answer!! No links please!!

Answers

Answer:

16(sin 30degrees) = BC

BC = 8

Find the area of the regular pentagon.

Answers

Answer: 172.05

Hope this helps

How do I do this? I’m not sure can anyone help?

Answers

value of x= 7√3

Hope it helps you...

Maybe same answer is correct

what is the slope of a line perpendicular to the line whose equation is x-3y=-27

Answers

Answer: Slope perpendicular= -3

x-3y=-27
-x -x
-3y=-x-27
divide by -3
y=(1/3)x+9

Slope perpendicular= -3

PLZ HELPP MARK BRAINLIEST 20 POINTS

Answers

Answer:

This is incorrect as 1/8 plus 3/5 is 29/40

Step-by-step explanation:

:)

Answer:

Susan is incorrect.

Step-by-step explanation:

First, what we do is add 1/8 + 3/5

Our result will be 4/13 because 1+3 = 4 would be as the numerator, and 8+5 = 13 would be as the denominator.

We can't simplify 4/13.

If we did increase the number, however, it would be 8/26, which is not close to the answer.

Therefore, Susan is incorrect.

-kiniwih426

What is 5/2x + 2y = 5

Answers

Answer:

y= -x+1/2

Step-by-step explanation:

Which expression is equivalent to 6^-3​

Answers

Answer:

[tex] {6}^{ - 3} \\ = \frac{1}{ {6}^{3} } \\ = \frac{1}{216} [/tex]

Answer:

1/6^3

Step-by-step explanation:

6^-3

1/6^3

Note if any base has it's power negative then just do its reciprocal the exponent will be positive.

For example:

5^-y

1/5^y

Tim wants to determine the height, x, of a nearby tree. He stands 35 feet
from the base of the tree. The measure of the angle of elevation from Tim to the top of the
tree is 40 degrees

Answers

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{35}[/tex] ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

What is the equation of the line that
contains the points (0, 5) and (3, 7)?

Answers

Answer:

y -y1=y2-y1/x2-x1(x-x1)

-8(-2 1/3)-(2(4) to the power of 2

Answers

Answer:

-13.333

Step-by-step explanation:

This is the answer to:

-8(-2 1/3)-(2(4) to the power of 2

Hope this helps!

Other Questions
Can someone help me please Which one of the them please? Which statement best describes the intermolecular forces between H2molecules and NH3 molecules in the liquid phase?A. Dipole-dipole forces are the strongest force between H2molecules, and Van der Waals forces are the strongest forcebetween NH3 molecules.B. Van der Waals forces are the strongest force between H2molecules, and hydrogen bonding is the strongest force betweenthe NH3 molecules.C. Hydrogen bonding is the strongest force between H, moleculesand between NH3 molecules.D. Van der Waals forces are the strongest force between H2molecules and between NH3 molecules. Drag each label to the correct location.Classify the organisms based on what they eat. critically discuss three negative reasons why some people join protest action The life of early humans was nomadic. Why? Write an algebraic expression to represent the following phrase:the sum of a number and 0.5no links Please Help !! This is an Earth science lab question. Explain why erosion occurs on the outside of a meander and deposition on the inside of a meander. Evaluate 2(4 - 1) . 36 . 60 O C. 30 O D. 18please help PYTHON PROGRAMMING The manager of the Super Supermarket would like to be able to compare the unit price for products sold there. To do this, the program should input the name and price of an item per pound and its weights in pounds and ounces. Then it should determine and display the unit price (the price per ounce) of that item and the total cost of the amount purchased. You will need the following variables: ItemName PoundPrice Pounds TotalPrice Ounces UnitPriceYou will need the following formulas: UnitPrice = PoundPrice/16 TotalPrice = PoundPrice * (Pounds + Ounces/16) A hypothesis that is non-falsifiable is ___________. Can someone help ?! Please What extent does Government support communities affected by Gender based violence which integer is 3 less then -7 how does anticipation help a persuasive arguement? What were the primary reasons thePuritans came to America?A. The Puritans came to America to escape persecutionfrom the Church of England and from the King.B. The Puritans came to America in order to educate theirsons in a prestigious university.C. The Puritans came to America in search of bettercommercial opportunities. Need help solving for x, look at image above For the function f(x) = -12x^2 + 6x - 8 find the equation of the tangent line at x= -1 Answer to the question Find c. Round to the nearest tenth: 2 cm 1050 c = [? ]cm Law of Sines: sin sin B b Enter