at school there are 8 students who only play violin, 10 students who only play guitar, 3 students who play both, and 12 students who don't play any instrument at all. if a student is randomly selected from this school, what is the probability that they play violin or guitar

Answers

Answer 1

Answer:

[tex]\frac{7}{11}[/tex]

Step-by-step explanation:

[tex]\frac{21}{33}[/tex] simplified would be [tex]\frac{7}{11}[/tex]

Answer 2

The probability that they play violin or guitar is 7/11 .

What is Probability ?

Probability is the likeliness of an event to occur.

It is given that

The number of students who only play violin is 8

The number of students who only play guitar is 10

The number of Students who play both is 3

The number of students who don't play either is 12

Total Students = 8+10+3+12 = 33

Total favorable outcomes (violin or guitar) = 8 + 10 +3

Probability = Total favorable outcomes / Total outcomes

Probability = 21 / 33

Probability = 7/11

Therefore the probability that they play violin or guitar is 7/11 .

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Related Questions

how do you solve the system:
y+1=2x
5y+5=10x

Answers

Answer:

choose "infinitely more solutions"

Step-by-step explanation:

Let's solve this system by substitution method

y+1=2x

- 1 = - 1

y = 2x -1   <-- sbstitute this in the next equation

---------------------------------------------------------------------------------

    5y+5 = 10x

5(2x -1) + 5 = 10x

10x -5 + 5 = 10x

10x + 0= 10x

- 10x = -10x

0 = 0      <-- infinitely more solutions

Answer:

5+5=10x

y=1×5+5=10x

45×+=1+32=

2x - 3y = -14
5x + 9y = -2

Answers

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

Evaluate p(18,3) probability

Answers

Answer:

what?

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE GUYS I BEG YOU BRAINLIST AND 40 POINTS
ONE IMAGE AND ONE QUESTION
FIND X

Answers

84?Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

By creating some crops that resist certain insects

Step-by-step explanation:

Answer:

Aww man i wasn't the earliest

Step-by-step explanation:

By creating some crops that resist certain insects

16% of $72=
I need help so if you know help

Answers

Answer:

Step-by-step explanation:

$72 is 100% and

$? is  16%

? = 16*72/100 = 11.52

the answer would be 11.52

What is the circumference and area of this circle? (Use 3.14 for pi)

Answers

Answer:

100.531km

Step-by-step explanation:

Circumference:50.27
Area:201.06

PLEASE HELP ITS URGENT
WRITE A SHORT STORY WITH A SYMBOL THAT IS A CENTRAL PLOT A CONFLICT AND A CONCLUSION MAKE SURE THE STORY HAS CHARACTERS, DIALOGUE AND SETTING

BE CREATIVE AND EXPLORE YOUR IMAGINATION MUST BE 3 PARAGRAPHS

Answers

Answer:

I don't believe this is a mathematics related question....

Step-by-step explanation:

Don't have someone write this for you though, this sounds like a fun assignment. If you need help with the terms

Central plot = what is happening. Is a king trying to fight off a dragon? A penguin trying to learn to hunt?

Conflict = what goes wrong to make the goal harder.

Conclusion = How it ends.

Characters = People or creatures in the story.

Dialogue = What people are saying.

Setting = When and where the story takes place.

find the y intercept ​

Answers

Answer:

y intersept: (0,-1)

Step-by-step explanation:

trust me

Gina's electronics store purchased a television at the wholesale price of $250. Gina marked
up the price 15%. What was the amount of markup?

Answers

Answer:

$37.5

Step-by-step explanation:

Well lets see. 15% of $250 is 37.5. So AFTER the markup the TV cost 287.5.

A CD costs $13.50 before tax. What is the total cost after a 8% sales tax is added?

Answers

Answer:

$14.58

13.50+1.08= $14.58

1. Circle the figure you would use to make the Escher‐like tessellation given,

Answers

Answer:

C.

Step-by-step explanation:

Answer:

I got C.

Step-by-step explanation:

(It's on my math paper)

B. 9.526 to the nearest tenth

C. 19.826 to the nearest whole number​

Answers

B 9.5 to the nearest 10th
C 20 to the nearest whole number

Kyler made 6 out of 8 free throws in his basketball game. What percentge of his free throws did he make?

Answers

Answer:

75 percent.

Step-by-step explanation:

your answer is 75 percent, because 8 divided by 6 is 0.75, and it ends up to be 75 percent.. hope this helped!

Which of the following'illustrates the truth value of the given conditional statement?
p: 10 > 7
q. 10 > 5
~p→q

Answers

Step-by-step explanation:

?I'm not sure what you are trying to say

The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the rectangle?

Answers

Answer:

2 units

Step-by-step explanation:

It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.

A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically. a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.

Answers

Answer:

The answer is "66.99%"

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to \frac{684}{1021} \times 100\\\\\to \frac{684}{1021} \times 100\\\\ \to 0.6699 \times 100 \\\\ \to 66.99 \%[/tex]

As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?


B) if the SAT test is in 12 weeks who will score the highest?


Please show all work !!

Answers

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

The solution are, a) 7 weeks

                             b) George's

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

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A sporting goods store charges $27 for 3 basketballs and $90 for 5 boxes of sneakers. A coach orders 40 basketballs and 7 boxes of sneakers. How much will the coach pay for the basketballs and sneakers?

Answers

Answer:

Let's start with the total money needed for basketballs

The total money the coach will need for 40 basketballs will be 40 times price of one basketball.

Thus we need to find the price of one basketball.

$27 for 3 basketballs

Thus for one basketball, [tex]\frac{27}{3}[/tex] Which gives us,

'9'.

So for 40 basketballs 40 * $9

Which gives us $360.

Now let's find the total money needed for sneakers.

The total money needed for sneakers is 7 times the cost of one sneaker.

So, we need to find the cost of 1 sneaker

which is [tex]\frac{90}{5}[/tex]  which gives us,

$18.

Thus total amount of money  needed for sneakers is 9 * $18 which gives us

$162

So total amount the coach has to pay is $360+$162 (total cost of basketballs + total cost of sneakers)

=$552

Therefore, total amount the coach has to pay is $552

Explain the attributes that make a rhombus different from a rectangle
Explain the attributes that make a square different from a rhombus

Answers

Answer:

Angles and sides are the main differences! In a rectangle, all angles will be 90 degrees. In a rhombus, opposite angles will always be congruent. And, all sides in a rhombus are congruent, while in a rectangle, opposite sides are congruent

Step-by-step explanation:

here

A rectangle with an area of 47m² is dilated by a factor of 7. What is the area of the dilated rectangle? Enter your answer in the box. Do not leave your answer as a fraction.
?m²

Answers

Answer:

28m^2

Step-by-step explanation:

Answer:

28 square meters is correct for all future users.

Step-by-step explanation:

Order the numbers from least to greatest -23, -10, -9, -7, -6, -4 ,-3, -2, -1 ,0, 1 ,2 ,3 ,5 ,8, 10, 11, 15, 22, 23

Answers

isn't it already in order

Answer:

-23, -10, -9, -7, -6, -4, -3, -2, -1, 0, 1, 2, 3, 5, 8, 10, 11, 15, 22, 23

Step-by-step explanation:

literally the question itself is the answer.

What is the value of X.

Answers

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4

Answer: x=7


Explanation: These are vertical angles, so they are congruent

x+16=4x-5

-x -x

16=3x-5



+5 +5


21=3x



21/3 3x/3


x=7




7+16=23
4*7=28-5=23

Question 6
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Match the name of the sampling method descriptions given.
Situations
pulling 50 names from a hat
MI divide the population by age and select 5 people from each age
Vask all the students in your math class
Mi call every 15th phone number on every 5th page of the phone book
Sampling Method
a. Stratified
b. Systematic
c. Simple Random
d. Convenience

Answers

Answer:

C.

Step-by-step explanation

shes pulling RANDOM names. key word random, hope this helped

find the area of a triangle with a base and height of 1/3 and 1/4

Answers

Answer: 1/12

Step-by-step explanation:

Multiply 1/3 by 1/4. Or just multiply 3 by 4.

3 x 4 = 12

Therefore, the answer is 1/12.

The Career Placement department at a university wants to administer a survey to determine student awareness of the resources offered. The department expects that student awareness of the Career Placement resources will vary significantly depending on how many years a student has attended the university, so they plan to randomly select 30 freshmen, 30 sophomore, 30 juniors, and 30 seniors. This type of sample can be best described as a: *

Answers

Answer:

This type of sample can be best described as a stratified sample

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

The students are divided into groups, according to how many years they have attended the university. Then, from each group, some(30) students are surveyed. This is an example of Statrified Sampling

during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips​

Answers

Answer:

156 Miles in 4 trips.

Step-by-step explanation: 39*4=156

Answer:

156 Miles

Step-by-step explanation:

If they drove 4 trips and each trip is 39 miles you would multiply 4x39

A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

Answers

Answer:

Its associated z-score is -1.16.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.

This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].

If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

This is Z when X = 10.98. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]

[tex]Z = -1.16[/tex]

Its associated z-score is -1.16.

A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?

3456 games

8 games

432 games

8 cubic inches​

Answers

Answer:

432

Step-by-step explanation:

6 games x 6 games x 12 games = 432 games

What is 33/88 in simplest form?

Answers

Answer:

3/8

divide both by 11

you get 3/8

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