1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inga [223]
2 years ago
8

In a group of EXPLORE students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

f these, 8 students like all three activities, while 30 like only one of them.
How many students like only two of the three activities?​
Mathematics
2 answers:
Marizza181 [45]2 years ago
8 0

Answer

The number of students that like only two of the activities are 34

Step-by-step explanation:

Number of students that enjoy video games, A = 38

Number of students that enjoy going to the movies, B = 12

Number of students that enjoy solving mathematical problems, C = 24

A∩B∩C = 8

Here we have;

n (A∪B∪C) = n (A) + n (B) + n (C) - n (A∩B) - n (B∩C) - n (A∩C) + n (A∩B∩C)

= 38 + 12 + 24 - n (A∩B) - n (B∩C) - n (A∩C) + 8

Also the number of student that like only one activity is found from the following equation;

n (A) - n (A∩B) - n (A∩C) + n (A∩B∩C) + n (B) - n (A∩B) - n (B∩C) + n (A∩B∩C) + n (C) - n (C∩B) - n (A∩C) + n (A∩B∩C) = 30

n (A) + n (B) + n (C) - 2·n (A∩B) - 2·n (A∩C) - 2·n (B∩C) + 3·n (A∩B∩C) = 30

38 + 12 + 24 - 2·n (A∩B) - 2·n (A∩C) - 2·n (B∩C) + 24 = 30

- 2·n (A∩B) - 2·n (A∩C) - 2·n (B∩C) = - 68

n (A∩B) + n (B∩C) + n (A∩C) = 34

Therefore, the number of students that like only two of the activities = 34.

Katen [24]2 years ago
6 0

Answer:

36 only

because the 2 student their not enjoying Thier outing

You might be interested in
Which is the graph of the solution to the following compound inequality 7x + > 52 or 3 - x > 9
storchak [24]

Answer:

6x + 2; x = 2; 6(2) + 2 = 12 + 2 = 14

Step-by-step explanation:


6 0
3 years ago
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has leng
gladu [14]

{\bold{\red{\huge{\mathbb{QUESTION}}}}}

The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?

\bold{ \red{\star{\blue{GIVEN }}}}

RADIUS = 2

CHORD = 2

RADIUS --> XY , XZ , WX

( BEZ THEY TOUCH CIRCUMFERENCE OF THE CIRCLES AFTER STARTING FROM CENTRE OF THE CIRCLE)

\bold{\blue{\star{\red{TO \:  \: FIND}}}}

THE AREA OF THE SHADED SECTOR FORMED BY OBTUSE ANGLE WXY.

\bold{  \green{ \star{ \orange{FORMULA \:  USED}}}}

AREA COVERED BY THE ANGLE IN A SEMI SPHERE

AREA = ANGLE   \: \: IN  \: \:  RADIAN  \times RADIUS

\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}

Total Area Of The Semi Sphere:-

AREA =   \pi \times radius  \\  \\ AREA = \pi \times 2 = 2\pi

Area Under Unshaded Part .

Given a triangle with each side 2 units.

This proves that it's is a equilateral triangle which means it's all angles r of 60° or π/3 Radian

So AREA :-

AREA =  \frac{\pi}{3}  \times radius \\  \\ AREA =  \frac{\pi}{3}  \times 2 \\  \\ AREA =  \frac{2\pi}{3}

\green{Now:- } \\  \green{ \: Area  \: Under \:  Unshaded \:  Part }

Total Area - Area Under Unshaded Part

Area= 2\pi -  \frac{2\pi}{3}  \\ Area =  \frac{6\pi - 2\pi}{3}   \\ Area =  \frac{4\pi}{3}  \:  \: ans

\red \star{Thanks \:  And  \: Brainlist}  \blue\star \\  \green\star  If \:  U  \: Liked \:  My  \: Answer \purple \star

5 0
2 years ago
A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
AfilCa [17]

Answer:

11.1 years

Step-by-step explanation:

The formula for interest compounding continuously is:

A(t)=Pe^{rt}

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years.  Filling in what we have looks like this:

2000=1150e^{{.05t}

We will simplify this first a bit by dividing 2000 by 1150 to get

1.739130435=e^{.05t}

To get that t out the exponential position it is currently in we have to take the natural log of both sides.  Since a natural log has a base of e, taking the natual log of e cancels both of them out.  They "undo" each other, for lack of a better way to explain it.  That leaves us with

ln(1.739130435)=.05t

Taking the natural log of that decimal on our calculator gives us

.5533852383=.05t

Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

7 0
2 years ago
What is the square root of <br> X of the power of 2 -1 =80?
zepelin [54]

Answer:

x=6561

Step-by-step explanation:

We can solve this equation for x to get

\sqrt{x} -1=80\\\\\sqrt{x} =81\\x=(81)^2\\\\x=6561

5 0
3 years ago
The answer to #2?? I already have the graph but I still need the answer
Sidana [21]
If we have 

y = 6x + 1 and x - y = 11, we can take advantage of  y - y = 0 as follows:
                                         Subtract x from both sides of the 2nd equation:
                                         -y = 11 - x

Now combine 

 y = 6x + 1
-y = 11 - x
--------------
0 = 5x + 12.  Solving for x, x = -12/5.     Using the equation above, find y:
                                                               -y = 11 - x
                                                                   = 11 - (-12/5)
                                                                   = 55/5 + 12/5 = 67/5

Then the solution is (-12.5, 67/5).

                      
3 0
3 years ago
Other questions:
  • A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.
    7·1 answer
  • Find the arc measure ML.
    12·1 answer
  • Square root of 10.000 to the power of 4
    5·1 answer
  • How would you solve the equation 4× =100​
    5·2 answers
  • A student has 10 coins in her pocket that have a value of 0.85,The coins are either nickels of dimes. Which system of linear equ
    7·1 answer
  • Help with this one!!!<br><br><br> Show steps pls :)
    6·2 answers
  • PLEASE HELP MEEEE ill mark brilliance!!!!
    9·1 answer
  • Plsss someone help me pls!!! PART B: identify congruent angles
    5·1 answer
  • Select the correct answer.<br> Which function has the same graph as x + y = 11?
    12·1 answer
  • A baker needs 2 2/3 cups of flour for her recipe, but she only had a 1/3 scoop. How many scoops will she need for the recipe?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!