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
Dvinal [7]
3 years ago
8

Let the following sets be given. The universal set for this problem is the set of all students at some university. F = the set o

f all freshmen S = the set of all seniors M = the set of all math majors C = the set of all CS majors Using only the symbols F, S, M, C, ||, ∩, ∪, ', and >, translate the following statement into the language of set theory. There are more freshmen who aren't math majors than there are senior CS majors.

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

|M'∩F| > |S∩C|

Step-by-step explanation:

<h3 /><h3>The situation is depicted in the picture attached </h3>

The green set is  

M'∩F = freshmen who aren't math majors and it has |M'∩F| elements

The blue set is

S∩C = senior CS majors and it has |S∩C| elements.

So <em>“There are more freshmen who aren't math majors than there are senior CS majors”</em> can be written as

|M'∩F| > |S∩C|

You might be interested in
What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv
Gnoma [55]

Answer:

The equation of line is:

8x-9y=-23

Step-by-step explanation:

We are given that a graph is  a that passes through two points:

(-4,-1) and (\dfrac{1}{2},3)

We know that the equation of line passing through two points:

(a,b) and (c,d) is given by:

y-b=\dfrac{d-b}{b-a}\times (x-a)

Here we have:

(a,b)=(-4,-1) and (c,d)=(\dfrac{1}{2},3)

Hence, the equation of line is:

y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23

Hence the equation of line is:

8x-9y=-23

5 0
3 years ago
Answer number 20. Please answer all parts to the question.
emmasim [6.3K]
1: 7
2: Yes, 20 because it’s isolated from the rest of the points
(I don’t know the other ones, sorryyyyy)
5 0
2 years ago
If line L is parallel to line K, then they
ddd [48]

An equivalent statement will be if lines L and K intersect, then they are not parallel.

<h3>Parallel lines</h3>

Parallel lines are lines that do not meet. The angle between the parallel lines is 0 degrees

The statement if line L is parallel to line K, then they will never intersect is true and an equivalent statement will be if lines L and K intersect, then they are not parallel.

This is determined using the contrapositive statements

Learn more on parallel lines here: brainly.com/question/24607467

4 0
3 years ago
Please help me with question number 2
Mice21 [21]

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

8 0
3 years ago
What is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.
LUCKY_DIMON [66]

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = \frac{-25+7}{5-1} = \frac{-18}{4} = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

3 0
3 years ago
Other questions:
  • The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
    14·1 answer
  • Please help I’m stuck.
    10·1 answer
  • Please explain!
    8·1 answer
  • Write an inequality for the situation. No more than 5 books are in your backpack.
    14·1 answer
  • What is the solution of the system of equations? 3x + 6y = –2 15x + 30y = –10
    12·2 answers
  • A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th
    6·1 answer
  • There are four geometry teachers. What is the probability that you got ME as your teacher?
    12·2 answers
  • A home improvement store advertises 60 square feet of flooring for 253 plus an additional 80 installation fee. What is the cost
    10·1 answer
  • Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balanc
    11·1 answer
  • A bakery sells 60 chocolate chip cookies in a day, which was 40% of the total number of cookies sold that day. What was the tota
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!