In a large school, it was found that 77% of students are taking a math class, 74% of student are taking an English class, and 70% of students are taking both. Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.

Answers

Answer 1

Answer:

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class

Step-by-step explanation:

We solve this question working with the probabilities as Venn sets.

I am going to say that:

Event A: Taking a math class.

Event B: Taking an English class.

77% of students are taking a math class

This means that [tex]P(A) = 0.77[/tex]

74% of student are taking an English class

This means that [tex]P(B) = 0.74[/tex]

70% of students are taking both

This means that [tex]P(A \cap B) = 0.7[/tex]

Find the probability that a randomly selected student is taking a math class or an English class.

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81[/tex]

0.81 = 81% probability that a randomly selected student is taking a math class or an English class.

Find the probability that a randomly selected student is taking neither a math class nor an English class.

This is

[tex]1 - P(A \cup B) = 1 - 0.81 = 0.19[/tex]

0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class


Related Questions

The monthly sale (in thousands of units) for the tth month after the
introduction of a product in the market is given by S = 135t/(t2 + 50). In
which earliest month would the sale (S) have been 9?
5th

Answers

What do you mean 9 and then you put on the bottom 5th but either way it is S=270t^2 +6750t

Pls help extra points and mark brainlist

Answers

Answer:

y(5 + 8)

Step-by-step explanation:

I think what this problem wants us to do is take y out of this expression. 5y divided by y is 5 and 8y divided by y is 8, so we would get that this expression is y(5 + 8).

If you wanted to simplify, you would get y(13), which is 13y.

3. The lowest temperature occurred between 4:00 and 5:00.
a. True
b. False

Answers

Answer:

False

Step-by-step explanation:

The lowest point is at 11.

¿Cuál es el valor de la siguiente expresión: + − − + − + + ?​

Answers

Answer:

+-+-+-

Step-by-step explanation:

4/9, 7/8, 15/20, 16/24, select the fraction that is equivalent to 2/3​

Answers

Answer:

16/24 is equivalent to 2/3...................

(-7w + 13) - (6w + 10) find the difference

Answers

Answer:

-13w + 3

Step-by-step explanation:

Answer:

w=3/13

Step-by-step explanation:

(-7w+13)-(6w+10)=

-7w+13-6w-10=

reduce

-13w+3=

13w=3

w=3/13

The angles of a quadrilateral are in the ratio 2:4:5:6 what is the difference between the largest angle and the smallest angle​

Answers

Answer:

85

Step-by-step explanation:

From the question given above, the following data were obtained:

Ratios of the angle => 2 : 4 : 5 : 6

Difference between the largest angle and the smallest angle​ =?

Next, we shall determine the various angles in the quadrilateral. This can be obtained as follow:

Ratios of the angle => 2 : 4 : 5 : 6

Total ratio = 2 + 4 + 5 + 6

Total ratio = 17

Angle in a quadrilateral = 360

For ratio 2:

Angle = 2/17 × 360 ≈ 42

For ratio 4:

Angle = 4/17 × 360 ≈ 85

For ratio 5:

Angle = 5/17 × 360 ≈ 106

For ratio 6:

Angle = 6/17 × 360 ≈ 127

SUMMARY:

The angles are => 42°, 85°, 106° and 127°

Finally, we shall determine the difference between largest angle and the smallest angle​. This can be obtained as follow:

Smallest angle = 42°

Largest angle = 127°

Difference between the largest angle and the smallest angle​ =?

Difference = Largest – Smallest

Difference = 127 – 42

Difference = 85

Thus, the difference between the largest angle and the smallest angle​ is 85.

At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
buys 3 sodas and 4 snacks and spends $15. Set up the system of
equations.

Answers

Answer: 20

Step-by-step explanation:

Please give the right answer and show work if possible

Answers

Step-by-step explanation:

[tex] \sin(48) = \frac{25}{qr} \\ qr = \frac{25}{ \sin(48) } = \frac{25}{0.743} \\ qr = 33.65[/tex]

help pls! i will give 10 points! thxs

Answers

Answer:

P=105°

QR=11.6

M=45°

LN=8.5

Step-by-step explanation:

1

help fast thanksddddd​

Answers

Answer:

2) 10/9 = 1.111111111

3) 1/2 = 0.5

4) 2

5) 3/7 = 0.428571429

6) 4/5 = 0.8

7) 1

8) 42/11 = 3.818181818

9) 5/3 = 1.666666667

10) 7/4 = 1.75

Step-by-step explanation:

Hope this helps

Answer:

2. 19

18

3. 1

4. 6

5

5. 5

4

6. 9

10

7. 1

8. 53

66

9. 4

3

10. 11

28

Note: Download Photomath to solve math problems in a snap of a picture

To have 50,000 in 5 years, how much should you invest if the compound interest is 5%?​

Answers

ANSWER

47,500

STEP BY STEP:

Which of the values below will make 3+x=21 true

Answers

Answer:

x=18

21-3=18

Step-by-step explanation:

What is the solution to this equation? ​

Answers

Step-by-step explanation:

(1/8 - X) = -1/8

or, (1/8+1/8) = X

or, X=1/4

it's the final answer you can check it if you want

Solve for g in terms of h
6g - 3+ h = 5g - 4h + 13

Answers

The answer is g= -5h + 16

Answer:

g = −5h+16

h = −[tex]\frac{g}{5}[/tex]+[tex]\frac{16}{5}[/tex]

HEY PLEASE HELP ASAP I WILL GIVE BRAINLEST!!!!

Answers

Answer:

117

Step-by-step explanation:

18x9=162

5x9=45

162-45=117

The school party committee has $52 to buy ice cream. Each carton of ice cream costs $3. After buying as many cartons of ice cream as they can, how much money will the committee have left over?

Answers

Answer:  17.33

Step-by-step explanation:

You just do 52 divided by 3.

Answer:

17.3

Step-by-step explanation:

52 divided by 3

At the end of a conference, the attendants were asked if they are planning to attend this conference next year. The ratio of ‘Yes’ to ‘No’ answers was 7 to 9. If 320 people gave either a 'Yes' or 'No' answer, then how many of these people answered 'Yes'?

Answers

Answer: 140

Step-by-step explanation:

round 577 to the nearest hundred​

Answers

it’s 580.......……
..........

Answer:600

Step-by-step explanation:


(
0
,
4
)

(

1
,
4
)

(
0
,

3
)
(
0
,
4
)

(
-
1
,
4
)

(
0
,
-
3
)
dilated by a factor by 
2

Answers

Answer:

wait what the hell is even this!


Helen Sanchez's checking account had a balance of $678.22. She wrote a check to pay her gasoline charge
card for $17.21 and a check to the grocery store for $172.71. What is her new balance?

O $668.01
O $488.30
0 $661.01
O $478.30

Answers

The answer to the question is $488.30 all you had to do was subtract

What is the y-intercept of a line that passes through the points (1, -7) and
(5,-25)?

Answers

Answer:

-5/2

Step-by-step explanation:

i really hope this helps you out!

What is the percentage of deaths that occurred in 2004? Round your answer to the nearest tenth of a percent.

Answers

Answer:

I'll round in each

200,000

220,000

228,000

228,800

228,800

i am so sorry if thats not what you want i just want to help as much people as possible and i dont know im percent so im so sorry again i apoligize

The percentage of deaths occurred in 2004 is 27.77%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

We have the table that contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.

In 2004,

228802 deaths occurred.

And the total number of deaths = 823756

To find the percentage:

Let n be the required percentage.

228802 = n x 823756 / 100

n = 228802 x 100 / 823756

n = 27.77%

Therefore, the percentage is 27.77%.

To learn more about the percentage;

brainly.com/question/24159063

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Find the perimeter of the shape on the grid pls help

Answers

Answer:

16.4

Step-by-step explanation:

I'm going to be honest, I don't really know how to explain this one. But the website GeoGebra can help with finding perimeter of shapes. You have to play around with it a bit to figure it out though.

Solve for the variable indicated
-4x-8y=36 solve for x

Answers

Answer:

x = -2y - 9

Step-by-step explanation:

First isolate the variable by putting the x on a side by itself.

-4x=36+8y (8y becomes positive when it changes sides)

Then divide the entire equation by -4 to make the x stand alone.

x = -9 -2y

Some teachers prefer the variables at the beginning of the equations so it could also read

x = -2y - 9

Hello there!

Question:-

[tex]-4x-8y=36[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \longmapsto-4x-8y=36[/tex]

Firstly, Add 8y to both sides :-

[tex]\sf \longmapsto \: - 4x - 8y+8y=36+8y[/tex]

On Simplification:-

As (-) and (+) equals to (-),It Will be 8y-8y.Answer would be 0.

[tex]\sf \longmapsto \: - 4x - 0 = 36 + 8y[/tex]

[tex]\sf \longmapsto \: - 4x = 8y + 36[/tex]

Then, Divide both sides by -4:-

[tex]\sf \longmapsto \: \dfrac{4x}{ - 4} = \dfrac{8y + 36}{ - 4} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: x = - 2y - 9[/tex]

______________________________________

Henceforth the value of x is :-

[tex] \boxed{\tt \: x = - 2y - 9}[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Solve 3x +2=5.
A. Model 3x +2=5.
B. Perform the step to have the variables (circles) alone on one side.
C. Write the resulting step.
D. Divide the variables (circles) and numbers (squares) into equal groups.
E. Show the value of one group.

Answers

Answer:

x = 1

Step-by-step explanation:

3x + 2 = 5

Inverse oeprations

3x + 2 = 5

    -2     -2

3x = 3

/3     /3

x = 1

Marimar buys and old mirrors for $45:00 . She spend $5:00 to fix and paint it . Then she sell the mirror for $78:00 . What is marimar profit ?

Answers

Answer:

28 dollars

Step-by-step explanation:

$45+$5= $50 which is how much she spent it total

then she sells it for $78

so her profit would be $28

a millipede has 14 more legs than a caterpillar. together they have 46 legs. how many legs does a caterpillar have?

Answers

Answer:

32

Step-by-step explanation:

46-14=32 so therefore, a Caterpillar has 32 legs.

The caterpillar has [tex]16[/tex] legs.

Millipede:The class Diplopoda, from which the word "millipede" is derived, is a group of arthropods that are distinguished by having two pairs of jointed legs on most body segments. Two single segments are joined to form each double-legged segment.Caterpillar:Members of the order Lepidoptera in the larval stage are known as caterpillars (the insect order comprising butterflies and moths).The word's use is arbitrary, as it is with most common names, as caterpillars are another term for sawfly larvae (suborder Symphyta).Larvae of symphylans and lepidopterans exhibit eruciform body forms.Solution -

Let, the caterpillar's legs be [tex]x[/tex].

[tex]x+(x+14) = 46\\2x+14=46\\2x=46-14\\2x=32\\x=\frac{32}{2} \\x=16[/tex]

Therefore, the caterpillar has [tex]16[/tex] legs.

Know more about caterpillars here:

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if the water bill costs 487.75.and the electict bill costs 952.50.how much will be needed to pay for the bill?
1.what is asked?
2.what are given?
3.what operation will be used?
4.what is the number sentence?
5.what is the sulotion and answer?

Answers

1. it is asked to find how much will be needed to pay for the bill

2. 487.75 952.50

3. multiply

4. I don't know

5. 487.75 multiplied by 952.50 equals 464,581.875

PLEASE HELP 60 POINTS During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy
bars. The expression that represents how much money Kate will collect is 5x + 2x.
Identify any variables, constants, and coefficients and explain what they mean in terms
of the expression representing this scenario.

Answers

i dunno i think its 5 plus 50 plus 80 plus 90 x [50]

The expression 5x + 2x denotes the total cost of buying the same x number of candies of $5 and $2.

5 and 2 are constant and x is a variable.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Two types of candy.

Cost of candy = $5  and $2

Now,

5x + 2x is the expression for the total amount sold for selling x number of both candies.

Now,

5x + 2x

5 and 2 are constant values and it represents the cost of each type of candy.

x is a variable and it represents the number of candies sold.

Thus,

The expression is explained above.

Learn more about expressions here:

https://brainly.com/question/3118662

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