Example 3
he two In a class of 60 students, 46 passed Biology
and 42 passed Chemistry. Every student
ariable passed at least one of the two subjects. How
many students passed in both subjects?
Solution
Let U = students in the class
cps​

Answers

Answer 1

Answer:

28 students passed in both subjects.

Step-by-step explanation:

We solve this question treating each event as a Venn set.

I am going to say that:

Event A: Passed Biology.

Event B: Passed Chemistry.

46 passed Biology

This means that [tex]A = 46[/tex]

42 passed Chemistry.

This means that [tex]B = 42[/tex]

Every student passed at least one of the two subjects.

This means that [tex]A \cup B = 60[/tex]

How many students passed in both subjects?

This is:

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

From the values we have above

[tex]A \cap B = 46 + 42 - 60 = 28[/tex]

28 students passed in both subjects.


Related Questions

Please help i need you

Answers

The answer is A.0

hope this helped

Please help, I'm in a test! Question is in the image attached! if you think you could help me out more, let me know and I'll post more questions like this! ​

Answers

Answer:

180° (in place of blank)

Step-by-step explanation:

GIVEN :-

∠D = 127°∠A = 75°

PROCEDURE :-

∠C & ∠D are linear pair. (∵ They lie on same line)

⇒ ∠C + ∠D = 180°

∠C = 180° - 127°

In a triangle , sum of its all interior angles equals to 180° (which is also known as "Angle Sum Property). So,

∠A + ∠B + ∠C = 180°

⇒ 75° + ∠B + (180° - 127°) = 180°

⇒ ∠B = 180° - 75° - (180° - 127°)

Answer:

180%

Step-by-step explanation:

took the test got it right on the test

HELP MY FRIENDS PLEASE I BEG OF THEE​

Answers

Answer:

The answer has to be 30.

Step-by-step explanation:

Correct me if I am incorrect but I would believe I am correct. Have a good one!

✍(◔◡◔)

actice Temperature Conversion Worksheet

Name: ________________________ Period: ______

6th Grade Comprehensive Science II

Directions: Use the following chart to answer the questions below

C = (F - 32) * (5/9)

F = (9/5) * C + 32

Use the space to show your work:

1. 25°C = _____________°F

2. 97°C = _____________°F

3. 2°C = _____________°F

4. -40°C = _____________°F

5. 25°F = _____________°C

6. 97°F = _____________°C

7. 2°F = _____________°C

8. -40°F = _____________°C

9. 85°C = _____________°F

10. 953°C = _____________°F


pls help im giving 73 points

Answers

1.) 77
2.) 206.6
3.) 35.6
4.) -40
5.) -3.8
6.) 36.1
7.) -16.6
8.) -40
9.) 185
10.) 1747.4

5. ALGEBRA Refer to the figure in
Exercise 4. If m/1 = 4x + 40, and
m25 120°, what is the value of x?

Answers

Answer:

the value of x equals to 20 thats is solution okay

HELP PLEASE!
The line y = 2x is drawn on the coordinate plane.
For the part of the line drawn between the origin and (-1, -2), what is the slope?
A. 1
B. 2
С. -2
D. -1

Answers

B. 2


I had this same question about an hour ago and it say the answer was 2.

Is (5,0) a solution of the graphed inequality?

Answers

Answer:

Yes

Step-by-step explanation:

5,0 is a solution to the graphed inequality as it lies on the edge of the shaded area. Because the line is solid rather than dotted/dashed this means that all answers on the line will be included in the solutions. This is a graph for an inequality with one of these symbols ≤ ≥.

What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4​

Answers

Answer:

B I'm pretty sure.

Step-by-step explanation:

Factor the polynomial y^5+32​

Answers

Step-by-step explanation:

Please refer to the attachment

20 POINTS Circle each number below which is greater than its square. (i) 1 (ii) 2/3 (iii) -3 (iv) -1/2 (v) 5/4

Answers

Answer:

(ii) (iii)

Step-by-step explanation:

Point NN is located at (-2,-6)(−2,−6) on the coordinate plane. Point NN is reflected over the yy-axis to create point N'N ′ . Point N'N ′ is then reflected over the xx-axis to create point N''N ′′ . What ordered pair describes the location of N''?N ′′ ?

Answers

Given:

Coordinates of point N = (-2,-6)

Point N is reflected over the y-axis to create point N ′.

Point N' is then reflected over the x-axis to create point N''.

To find:

The ordered pair that describes the location of N''.

Solution:

The coordinates of point N are (-2,-6). Point N is reflected over the y-axis to create point N ′.

[tex](x,y)\to (-x,y)[/tex]

[tex]N(-2,-6)\to N'(2,-6)[/tex]

Point N' is then reflected over the x-axis to create point N''.

[tex](x,y)\to (x,-y)[/tex]

[tex]N'(2,-6)\to N''(2,6)[/tex]

Therefore, the ordered pair for point N'' is (2,6).

Answer:

(-6,2)

Notice that the xx-coordinate and the yy-coordinate change sign when LL is reflected over the xx-axis and then reflected over the yy-axis.

▀▄▀▄What is the LCM and GCF of 25 and 75? ▄▀▄▀​

Answers

Answer:

LCM = 75

GCF = 25

Step-by-step explanation:

25 = 5 x 5

75 = 3 x 5 x 5

LCM = 3 x 5 x 5 = 75

GCF = 5 x 5 = 25

Hope that helps!

Answer: The LCM of 25 & 75 is 75, and the GCF of them is 25

Step-by-step explanation: hope it helps :)

Fill in the blanks to make the equation true.

9/4 × 1 = 9/4 × ? = 45/20

Answers

Answer:

?=5/5

Step-by-step explanation:

9x5=45

4x5=20

Answer:
5/5 is the answer
Explanation:
1 = 5/5
9 x 5 = 45
4 x 5 = 20
45/20
So our answer is 5/5.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/Handsome! Have a great day luv <3
-Bee~

Bryce plays in 3 football games this month. He drinks 5 bottles of
water during each game. How many bottles of water does Bryce
drink this month?

Answers

he drinks 15 bottles of water this month

Answer:

Its 15 because 3 times 5 = 15.

Step-by-step explanation:

Describe each statement as always, never, or sometimes true.

Answers

Sometimes always never

Is this correct?
Yes or no

Answers

Answer:

yes that is correct can you put me brainliest please?

Step-by-step explanation:

Matrices of different dimensions can be added together.
O True
O False

Answers

False they must have the same dimensions

Without multiplying circle whether each product is greater than, less than, Equal to the whole number

Answers

Step-by-step explanation:

4 × (1/7) Less Than12 × 2(5/6) Greater Than

The Rule: If you are multiplying by a value less than one, your product will decrease. If you are multiplying by 1, the product will be equal and if you are multiplying by a value greater than 1, the product will increase.

0.45x10=
yuhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

i think it is 4.5

i hope it helps

Answer:

4.5

Hope I helped

¿375 es el 25% menos de que numero?

Answers

Answer:

hmm tratar 93.75

Step-by-step explanation:

cuanto es el 25 por ciento de descuento sobre 375? Asi, 25% de descuento en un item con un precio de estante de 375 es igual a $93.75.

espero que esto ayude

A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?

Answers

900-24 = 876 - 1/8 = 875 7/8

Let me know if you have questions

Fill in the blank

One way is solving by graphing which uses the coordinates of the point of as the answers.

Answers

Answer:

    dont click that link report it

Step-by-step explanation:

The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85 How much money should they leave for the bill and a 20% tip? Please explain step by step

Answers

The answer would be $34.62.

To find the tip you have to do
28.85 x 20% which is 0.2 as a decimal
and you get $5.77. That is the tip you would leave, so you add that to the amount of the bill $28.85 + $5.77 = $34.62

Quizizz 10 pts each help please WITH PIC brainiest guaranteed

Answers

Answer:

2.[tex]-2m^4-6m^2+4m+9[/tex]

3.[tex]-2m^4-6m^2-4m+9[/tex]

Step-by-step explanation:

In general we can write a polynomial in standard form as

[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]

Given [tex]4m-2m^4-6m^2-4m+9[/tex]

Combine the like terms: 4m and -4m

4m-4m=0

We have 4m-4m=0

So, write the remaining terms

[tex]-2m^4-6m^2+9+0[/tex]

= [tex]-2m^4-6m^2+9[/tex]

This is in decreasing order of powers.

Hence the answer is the standard form is

[tex]-2m^3-6m^2+9[/tex]

But in the given options, you can choose option 2 and option 3 are in standard form.

Because they are in decreasing order of powers.

In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.

-2m^4-6m^2+4m+9

-2m^4-6m^2-4m+9

I hope this helps you.

And please comment if I need to do corrections.

Please let me know if you have any questions.

A slope field produces...

A. the graph of the general solution to the differential equation

B. the graph of the derivatives of the differential equation

Please explain. I am so confused on this.

Answers

It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)

Answers

Answer:

y = x - 2

Step-by-step explanation:

Find the slope using rise over run

(y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-5 - 4) / (-3 - 6)

-9 / -9

= 1

Using y = mx + b, plug in the slope and a point to solve for b:

y = mx + b

4 = 1(6) + b

4 = 6 + b

-2 = b

Plug in the slope and b to y = mx + b

y = 1x - 2

y = x - 2

So, the equation of the line is y = x - 2



Jordan has a bag of 28 markers. Each marker is 20 centimeters long. What is the combined length of
the markers in meters?

Answers

Answer:

560

Step-by-step explanation:

I NEED THIS TODAY PLEASE
To play a board game, a player
spins the pointer of a spinner with
four equal sections numbered 1-4,
and then flips a fair coin. Use a tree
diagram to represent the sample
space. What is the probability of
spinning either a 3 or a 4 AND flipping
a head?

Answers

Answer:

15%

Step-by-step explanation: maybe

PLEASE ANSWER THIS QUESTION CORRECTLY, I’LL GIVE YOU BRANLIEST Answer my other math questions if you solve this one, thanks

Answers

Answer:

I would say this is true

Step-by-step explanation:

The explicit formula is

An= A1 + (n-1)d

So it works out the same way even if the placing is switched

If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?

Answers

Answer:

It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.

Step-by-step explanation:

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