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
goldfiish [28.3K]
3 years ago
9

The 24 colleges of interest to a high school senior include 8 that are expensive​ (tuition more than​ $20,000 per​ year), 8 that

are far from home​ (more than 200 miles​ away), and 5 that are both expensive and far from home.
A. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible?
B. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible?
Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

The correct answers are A. 13; B.39.

Step-by-step explanation:

There are 24 colleges (U) that meet the interest of a high school senior.

8 colleges are expensive, 8 are far (above 200 miles from home) and 5 are both expensive and far.

Think of a Venn Diagram where there are two classes namely A = number of expensive colleges and B = number of far colleges. and A ∩ B = 5.

There are 8 - 5 = 3 colleges that are only expensive ( A - B).

There are 8 - 5 = 3 colleges that are only far (200 miles from the house) (B - A).

There are 24 - 8 = 16 colleges that are not expensive (A complement).

There are 24 - 8 = 16 colleges that are not far (B complement).

A. The number of colleges that is not expensive and within 200 miles of home = U - A - (B - A) = 24 - 8 - 3 = 13.

B.The number of colleges that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home = choices for first type of college × choices for the second type of college = 13 × (A complement ∩ (B - A) = 13 × 3 = 39.

You might be interested in
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of is . Point lies on .
solmaris [256]
You would move five down and eight to the right, it depends how how the grid is
4 0
3 years ago
In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.
Paladinen [302]
<span>There is no way to get an exact answer. It could be a really small rhombus, or a huge one, and still have a 46º angle there. You need at least one length of a segment. 

Your problem could have errors that's why it can't be solved. You do not have to worry because it happens sometimes. 

I hope it helps you.</span>
3 0
3 years ago
Lin’s teacher uses a box to store her set of cubes with an edge length of 1/2 inch if the box is completely full how many cubes
Sauron [17]
Answer:
448 cubes
Step-by-step explanation:
Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.
Since, volume of a cube = (Side)³
Side of the cube = 1/2 inch
Therefore, volume of the cube = (1/2)3=1/8 inches
Volume of the storage box = 56 cubic inches
Since, number of cubes fitted in the storage box
= 56/1/8
= 56 × 8
= 448 cubes
Therefore, number of cubes fitted in the storage box = 448
4 0
3 years ago
5|q+6|=20 how u do this
Juli2301 [7.4K]
Divide 20 by 5= 4
subtract 6= -2
q= -2
6 0
3 years ago
Wich is greater<br> 50% or 13/25
a_sh-v [17]

Answer:

   13/25 is greater

Step-by-step explanation:

As  

    50%  = 50/100 = 0.5

And

    13/25 = 0.52

   

S0      0.5 < 0.52

Mark brainliest if you understand

3 0
2 years ago
Other questions:
  • What is the correct method of solving the equation x/3-6=9 for x?
    8·1 answer
  • A certain system can experience three different types of defects. Let Ai (i = 1, 2, 3) denote the event that the system has a de
    10·1 answer
  • Marcos pool is leaking 1/2 gallon per hour. he finds a 5 gallon bucket to catch the water. How many hours will it take to fill t
    13·1 answer
  • What is the gcf of 40 and60
    6·1 answer
  • Math answer homework​
    9·1 answer
  • NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
    13·1 answer
  • Which of the following pairs of functions are inverses of each other​
    9·1 answer
  • Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 71 miles.
    7·2 answers
  • How many grams are equal to 5,673 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
    10·1 answer
  • 15. Find the following bases.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!