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
Ray Of Light [21]
3 years ago
15

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

e far from home( more than 200 miles away), and 7 that are both expensive and far from home. If the student decides to select a college that is not expensive and within 200 miles from home, how many selections are possible?
Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer: 6

Step-by-step explanation:

Let  S= Total colleges

A = colleges are expensive.

B= colleges are  far from home( more than 200 miles away).

Given : n(S)= 20

n(A)=8

n(B)=8

n(A∩B) =2

Then, the number of  college that are not expensive and within 200 miles from home :-

n(A'\cap B')=n(S)-n(A\cup B)\\\\=20-(n(A)+n(B)-N(A\cap B))\ \ [\because\ n(A\cup B)=n(A)+n(B)-N(A\cap B)]\\\\=20-(8+8-2)\\\\=20-14=6

i.e.  the number of  college that are not expensive and within 200 miles from home=6

Hence, the number of possible selections are <u>6</u> .

You might be interested in
Please I need help PLEASE​
frutty [35]

Answer:

15/2.5  18/h

Step-by-step explanation:

5 0
3 years ago
at the metal-casting company where i work, i must set up a conveyor system to move castings from the furnace to the heat treatme
Harman [31]
Maximum time allowed = 7 deg. / 0.03 deg/s = 233.3 s
Minimum speed = 55 yd * 3 ft/yd / 233.3 s
= 0.707 ft/s
4 0
3 years ago
What is 8+w/4 when w =16
saw5 [17]

Answer:

12

Step-by-step explanation:

8+w/4, when w=16

8+16/4

8+4=12

4 0
3 years ago
Read 2 more answers
Independent Practice
Sedbober [7]

Answer: THE ANSWER IS D. (-27, -7, -2, 8, 48)

Step-by-step explanation:

Graph.

y = 5 x − 2

{ − 5 ,  − 1 ,  0 ,  2 ,  10 }

The chosen topic is not meant for use with this type of problem. Try the examples below.

1  ,  2  ,  2  ,  2  ,  3  ,  4  ,  4  ,  5  ,  8  ,  9  ,  10

11  ,  14  ,  14  ,  17  ,  17  ,  17  ,  41  ,  44  ,  47  ,  71  ,  74  ,  77

12  ,  15  ,  45  ,  65  ,  78

5 0
3 years ago
A commuter has $245 in his commuter savings account. This account
tino4ka555 [31]
I’m not 100% sure but probably 16 weeks
8 0
3 years ago
Other questions:
  • X^2-x-42<br> what is the fractored forms
    7·1 answer
  • What is 47% of 164 while using a fraction to estimate the percent of each number.
    7·2 answers
  • Crystal's mud mask costs $23 for a 0.45 oz jar. She found the same mud mask online for $72. What is the size of the jar Crystal
    8·1 answer
  • The value of the expression 16-^3/4 is___<br> 8<br> 1/8<br> -6<br> 6<br> 1/40<br> 1/64
    8·1 answer
  • Simplify 2(4+8)÷2(8+8)​
    8·2 answers
  • A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int
    9·2 answers
  • A cylinder has a base diameter of 16in and a height of 5in. What is its volume in cubic
    13·2 answers
  • Solvex State the theorem that may be applied to solve the problem Oven G biedts 26​
    5·1 answer
  • Incorrect
    14·1 answer
  • Solve 18n - 7p -15n= 5p for n
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!