In a class there are 400 students. 250 of them studying Mathematics, 150 of them studying English, 100 of them studying Biology, 100 of them studying both Mathematics and English, 60 of them studying both Mathematics and Biology, 40 of them studying both English and Biology, 30 of them studying all Mathematics, English and Biology. Find
a) The number of students who are studying only Mathematics.
b) The number of students who are studying only English.
c) The number of students who are studying only Biology.
d) The number of students who are studying none of Mathematics, English and Biology.​

Answers

Answer 1

I hope this helps and sorry if it's wrong

In A Class There Are 400 Students. 250 Of Them Studying Mathematics, 150 Of Them Studying English, 100

Related Questions

I’m honestly not the best at math, can someone help?

Answers

Answer:

1/8

Step-by-step explanation:

Using the factor tree, we see that there is 8 possible outcomes ( right hand side)

There is only 1 way to go from left to right and have 3 wins

P(3 wins) = good outcomes / total

               =1/8

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
5x – 4y = -4

Answers

4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4

Answer:

[tex]\boxed {\boxed {\sf y= \frac{5}{4}x+1}}[/tex]

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

[tex]y=mx+b[/tex]

Where:

m= slope b= y-intercept

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

[tex]5x-4y= -4[/tex]

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

[tex]5x-5x-4y=-4-5x[/tex]

[tex]-4y=-4-5x[/tex]

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

[tex]\frac {-4y}{-4}=\frac{-4-5x}{-4}[/tex]

[tex]y= \frac{-4}{-4}+\frac{-5x}{-4}[/tex]

[tex]y=1+\frac{5}{4}x[/tex]

Rearrange the equation.

[tex]y= \frac{5}{4}x+1[/tex]

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is [tex]\bold {y= \frac{5}{4}x+1}}[/tex].

The slope is 5/4 and the y-intercept is 1.

Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?

Answers

the answer is B. an = 13 + 14(n-1)

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

f(x) = x ^ 2 - x - 6; g(x) = 2x ^ 2 + 5x + 2 Find: (f/g)(X)

Answers

Answer:

[tex](\frac{f}{g})(x) = \frac{x- 3}{2x + 1}[/tex]

Step-by-step explanation:

Given

[tex]f(x) =x^2 -x - 6[/tex]

[tex]g(x) = 2x^2 + 5x + 2[/tex]

Required

[tex](\frac{f}{g})(x)[/tex]

This is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

So, we have:

[tex](\frac{f}{g})(x) = \frac{x^2 - x - 6}{2x^2 + 5x + 2}[/tex]

Expand

[tex](\frac{f}{g})(x) = \frac{x^2 +2x - 3x - 6}{2x^2 + 4x+x + 2}[/tex]

Factorize

[tex](\frac{f}{g})(x) = \frac{x(x +2) - 3(x + 2)}{2x(x + 2)+1(x + 2)}[/tex]

Factor out x + 2

[tex](\frac{f}{g})(x) = \frac{(x- 3)(x + 2)}{(2x + 1)(x + 2)}[/tex]

Cancel out x + 2

[tex](\frac{f}{g})(x) = \frac{x- 3}{2x + 1}[/tex]

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)

Answers

Answer:

Step-by-step explanation:

Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.

Answers

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 15y = 135

Answers

Answer:

y=3/5x-9

Step-by-step explanation:

9x – 15y = 135

Subtract 9x from each side

9x -9x – 15y =-9x+ 135

-15y = -9x +135

Divide each side by -15

-15y/-15 = -9x/-15 +135/-15

y=3/5x-9

Which equation has a constant of proportionality equal to 2?

Answers

Answer:

[tex]{ \tt{y = 2x}}[/tex]

Answer:

2y=x

Step-by-step explanation:

2-[6÷2+{6×1/2+(7/2-3/2)}]​

Answers

Answer:

-6

Step-by-step explanation:

2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =

Follow the correct order of operations.

Do one step at a time and copy everything else each time, so you don't lose track of any operation.

= ​2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]

= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]

= 2 - [6 ÷ 2 + {3 + 2}]

= 2 - [6 ÷ 2 + 5]

= 2 - [3 + 5]

= 2 - 8

= -6

Answer:

-6

hope this helps

Step-by-step explanation:

2_(6÷2+(6*1/2+(7/2-3/2))) solve the ones in bracket first

(7/2-3/2)=2

2-(6÷2+(6×1/2+2))

6×1/2+2

6×1/2=3

3+2=5

2-(6÷2+5)

6÷2=3

3+5=8

2-8

=-6

How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?

Answers

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

(c³d)a(cd⁷)a
Simplify

Answers

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

Find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 What value corresponds to the 60th percentile

Answers

Answer:

Percentile rank:

12  =  7th

28 = 21st

35  = 36th

42  = 50th

47  = 64th

49   = 79th

50 =  93rd

- Vth number i.e. 47 is the value that corresponds to the 60th percentile.

Step-by-step explanation:

As we know,

Percentile rank = [(Number of values below x) + 0.5]/total number of values * 100

For 12,

Percentile rank = [0 + 0.5]/7 * 100

= 7th

For 28,

Percentile rank = [1 + 0.5]/7 * 100

= 21st

For 35,

Percentile rank = [2 + 0.5]/7 * 100

= 36th

For 42,

Percentile rank = [3 + 0.5]/7 * 100

= 50th

For 47,

Percentile rank = [4 + 0.5]/7 * 100

= 64th

For 49,

Percentile rank = [5 + 0.5]/7 * 100

= 79th

For 50,

Percentile rank = [6 + 0.5]/7 * 100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100 * 7

= 0.6 * 7

= 4.2

After rounding it off,

5th value is the 60th percentile i.e. 47.

James, Aimee and Zack have
weighed their suitcases. Each
weighs a prime number of
kilograms and the total weight
is 40kg.
an
What's the difference between
the lightest and heaviest
suitcase?​

Answers

Answer:

29Kg

Step-by-step explanation:

P1=2Kg

P2=7Kg

P3=31Kg

P3-P1=29Kg

To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.

I was lucky and I got the result after few steps :-)

Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection

Answers

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

Which is the correct calculation of the y-coordinate of point A? 0 (0 - 0)2 + (1 - y2 = 2 O (0 - 1)² + (0- y2 = 22 (0-0)² + (1 - y2 = 2 (0 - 1)2 + (0-y2 = 2​

Answers

Answer:

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

If we know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]r = 2[/tex], then the equation of the circle is:

[tex]x^{2} + y^{2} = 4[/tex] (1b)

Then, we clear [tex]y[/tex] within (1b):

[tex]y^{2} = 4 - x^{2}[/tex]

[tex]y = \pm \sqrt{4-x^{2}}[/tex] (2)

If we know that [tex]x = 1[/tex], then the y-coordinate of point A is:

[tex]y = \sqrt{4-1^{2}}[/tex]

[tex]y = \sqrt{3}[/tex]

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Help please
Please help

Answers

9514 1404 393

Answer:

  4. True

  5. False

Step-by-step explanation:

4. The number of x-intercepts produced by the quadratic formula may be 0, 1, or 2. It will be 0 if the two roots are complex. It will be 1 if the two roots lie in the same place (one root with multiplicity 2). It is true that there may be only one x-intercept.

__

5. The value of 'b' in the quadratic formula is the coefficient of the linear term. In the given quadratic, it is -5, not 5.

please help, will give brainliest!!!

Answers

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

y = x^2 -4

Exchange x and y

x = y^2 -4

Add 4 to each side

x+4 = y^2

Take the square root of each side

sqrt(x+4) = y

f^-1(x) = sqrt(x+4)

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

The hypotenuse of a right triangle is 16 units and the length of one of the legs is 12 units. What is the length of the other leg in simplest radical form?

A. 2√13
B. 4√11
C. 2√17
D. 4√7

Answers

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

If anyone can give me the answer that will be greatly appreciated :)

Answers

42-x=58

or, -x=58-42

with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.

or, -x= 16

or,x=-16.

therefore x=-16...

Hope this helps you.

The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. (Select all that apply.) There are no potential problems with self reporting of distances.

Answers

Answer:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Step-by-step explanation:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Subtract 7 pounds 3 ounces from 10 pounds

Answers

(10 pounds) - (7 pounds 3 ounces) =
2.8125 pounds

Kids with cell phones: A marketing manager for a cell phone company claims that the percentage of children aged 8-12 who have cell phones differs from 52%. In a survey of 832 children aged 8-12 by a national consumers group, 449 of them had cell phones. Can you conclude that the manager's claim is true? Use the a 0.10 level of significance and the P-value method. 1. State the appropriate null and alternate hypotheses.2. Compute the test statistic.

Answers

Answer:

Low-value method

Step-by-step explanation:

consumers group

Help please :) Whoever helps and gets answer correct gets Brainliest!

Answers

Answer:

1/8 is the slope

Step-by-step explanation:

Answer:

slope = 8

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{1}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 26) and (x₂, y₂ ) = (2, 34) ← 2 ordered pairs from the table

m = [tex]\frac{34-26}{2-1}[/tex] = [tex]\frac{8}{1}[/tex] = 8

Someone help please

Answers

66 because you have to solve the problem next time

find the area of this unusual shape.

Answers

Answer:

104 m^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the area of the triangle

A = 1/2 bh = 1/2 (8) * 6 = 24

Add the areas together

80+24 = 104 m^2

You have 8 quarts of milk. You need 1.25 cups to make one serving of deep fried chicken. How many servings can you make?

Answers

Answer: 25.6 servings (partial serving) / 25 servings (whole serving)

Step-by-step explanation:

Concepts:

As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.

1 quart = 4 cups

Solve:

Step one: Convert quarts into cups

1 quart = 4 cups8 quarts = 4 × 8 = 32 cups

Step two: Divide the cups to find the number of servings

32 cups / 1.25 cups = 25.6 servings

**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.

Hope this helps!! :)

Please let me know if you have any questions

During a certain 9-year period, the Consumer Price Index (CPI) decreased by
45%, but during the next 9-year period, it decreased by only 5%. Which of
these conditions must have existed during the second 9-year period?
A. Deflation
B. Stagnation
C. Conflation
D. Inflation

Answers

Answer:

deflation ,,,,

Step-by-step explanation:

I hope it's helpful for you ☺️

Deflation must have existed during the second 9-year period.

What is deflation?

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. This means that the purchasing power of money increases, as the same amount of money can buy more goods and services.

The opposite of inflation, which is an overall rise in the cost of goods and services over time, is deflation. Money loses value due to inflation, whereas it gains value due to deflation. Deflation can reduce demand for goods and services, though, if it lasts for a long time. This is because customers may put off purchases in expectation of cheaper costs. A downturn in economic activity may follow, which would be bad for the economy.

Given data ,

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. A decrease in the Consumer Price Index (CPI) is a measure of deflation.

In the first 9-year period, the CPI decreased by 45%, which indicates a significant deflationary period. In the next 9-year period, the CPI decreased by only 5%, which still indicates a deflationary period, but not as severe as the previous one.

Hence , the process is deflation in the second year

To learn more about deflation click :

https://brainly.com/question/30060490

#SPJ7

Find m These questions getting hard

Answers

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday?​

Answers

Answer:

3/8

Step-by-step explanation:

We can write the entire book with the number 1. Now we can write this operation

3/8 + 1/4 + x = 1

3 + 2 + 8x = 8

5 + 8x = 8

8x = 3

x = 3/8

Other Questions
1125 J of energy is used to heat 250 g of iron to 55 C. The specific heat capacity of iron is 0.45 J/(gC).What was the temperature of the iron before it was heated?55 C55 C35 C35 C45 C45 C20 C PLZ HELP ME Which of the following is the process by which chloroplasts use carbon dioxide, water, and sunlight to produce sugars and oxygen? A. Photosynthesis B. Cellular respiration c. Reproduction D. Homeostasis Which of the following beliefs is the best example of an ethnic and racial bias, prejudice, or stereotype?A. All followers of a specific religion or spiritual belief are violent or intolerant.B. All immigrants from a specific country are lazy or less capable of academic achievement.C. All people who are making minimum wage are lazy, unmotivated, and lacking in ambition.D. All women tend to be more emotional, less logical, and mentally fragile during crises. Why is personal hygiene is important list down three points, When is it Chinese New Year? Will Mark Brainlest Help Please ,,,, life was not easier a century ago write speech with 100 to 150 word On January 1, 2018, Ameen Company purchased major pieces of manufacturing equipment for a total of $36 million. Ameen uses straight-line depreciation for financial statement reporting and MACRS for income tax reporting. At December 31, 2020, the book value of the equipment was $30 million and its tax basis was $20 million. At December 31, 2021, the book value of the equipment was $28 million and its tax basis was $12 million. There were no other temporary differences and no permanent differences. Pretax accounting income for 2021 was $50 million.Required:a. Prepare the appropriate journal entry to record Ameens 2021 income taxes. Assume an income tax rate of 25%.b. What is Ameens 2021 net income? 5. What happens when a country has a mixed economy? A. There is a blend of big and small industries.B. The people can choose whether to work or not.C. Some businesses are privately and some are publicly owned.D. Immigration is encouraged to promote a diverse workforce. Factor the polynomial and explain answer Read the itinerary for a short trip to Louisiana and answer the questions in English.VENEZ EN LOUISIANE!SUGGESTIONS POUR UN COURT SJOURJOUR 1: Voyage en avion; arrive La Nouvelle-Orlans.JOUR 2: Faites un tour du Vieux Carr pied. Visitez le muse, le Presbytre, pour dcouvrir lhistoire de la ville. Dgustez des spcialits croles chez Antoine, le restaurant le plus vieux de la ville.JOUR 3: Partez tt en car pour la route des plantations. Dcouvrez des styles darchitecture diffrents: le style classique du sud amricain Oak Alley et le style crole Laura, par exemple. Passez la nuit la plantation Nottoway.JOUR 4: Allez Lafayette. En route, faites une balade en bateau sur le bassin Atchafalaya. Passez la nuit chez un habitant cadien. Dnez chez Prjean pour dcouvrir le jambalaya, le gombo et ltouffe. Allez danser au son de la musique cadienne chez Randols.JOUR 5: Allez au muse du parc national Jean Lafitte pour voir le film sur le Grand Drangement. Visitez le muse Vermillionville. Retournez La Nouvelle-Orlans.JOUR 6: Retour en France.1. What are the four different types of transportation mentioned?Enter Text2. What are two of the three cultures tourists will learn about?Enter Text3. What can one discover at the Presbytre?Enter Text4. What is one type of architecture seen in the plantations?Enter Text5. What are two Cajun specialties?Enter Text A manufacturer of radio sets produced 600 units in the third year and 700 units in theseventh year. Assuming the production uniformly increases by a fixed number every year,the production in the first year isb) 530d) 570a) 500c) 550 Explica qu argumentos se esconden en estos refranes:*Ms sabe el diablo por viejo que por diablo.*Quien no busc amigos en la alegra, en la desgracia no los pida.*Ms rpido cae un mentiroso que un cojo.*En tierra de ciegos el tuerto es rey. Please Help Asap Its Pre-Calculus The point (2, 2) is a solution to which of the following systems?y > 2x + 2 and y > x + 5y < x + 2 and y > x 1y < 2x + 8 and y x 3y < 2x + 3 and y 2x 5 write a balanced chemical equation for the reaction between CO2,H2O, Naclo3 and H2O2 what are the differences between legislation and case law? Please help ASAP!!!!!! What was the result of the construction of the transcontinental railroad after the civil war why is the failure more honorable than to win cheating ? justify what are the functions of language in logic?