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
ch4aika [34]
3 years ago
7

A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have

all taken at least one of the three classes. (a) Group A contains 157 students. Of these, 51 students in Group A have taken Math 2A, 80 have taken Math 2B, and 70 have taken Math 2C. 15 have taken both Math 2A and 2B, 20 have taken both Math 2A and 2C, and 13 have taken both Math 2B and 2C. How many students in Group A have taken all three classes?
Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

4 students

Step-by-step explanation:

The total number of students is given by:

|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N

Where N is the total number of students, A is the number of students that have taken Math 2A, B is the number of students that have taken Math 2B, and C is the number of students that have taken Math 2C:

|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N\\51+80+70-15-20-13 +  |A\cap B \cap C|  = 157\\ |A\cap B \cap C| =4

4 students in Group A have taken all three classes.

*The number of students that have taken two classes has be subtracted so those students do not get counted twice

You might be interested in
Is the spinner shown a fair spinner?Explain why or why not.​
enyata [817]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
Can someone pls pls PLS, help me out? ASAP!! (Geometry)<br> “Complete the proof”
Maru [420]

1) \overline{AB} \perp \overline{BD}, \overline{AB} \cong \overline{DB}, \overline{AC} \cong \overline{DE} (given)

2) \angle ABD is a right angle (perpendicular lines form right angles)

3) \triangle ABD and \triangle DEB are right triangles (a triangle with a right angle is a right angle)

4) \triangle ABD \cong \triangle DEB (HL)

5) \angle ACB \cong \angle DEB (CPCTC)

8 0
1 year ago
Adrian are 3 ani, iar tatăl lui are 34 de ani. Peste câți ani Adrian va fi de două ori mai tânăr decât tatăl său?
katrin [286]

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

3 0
3 years ago
What is the value of r6 + y2 when r =1 and y=11
Sergio039 [100]
1•6 + 11•2
6+22
28 would be the answer
7 0
3 years ago
Read 2 more answers
Which is the solution to the equation: 1/3 (9x+2)=4+2/3 (6x+4)
Ne4ueva [31]

Answer:

The answer is x= -6 !

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 547321 rounded to nearest one thousand
    10·1 answer
  • Glenda wrote two-tenths of her paper on Monday One Tenths of her paper on Tuesday and one tenth of her paper on Wednesday she sa
    13·2 answers
  • an verage person has 6x10^2 times as many red bloods cells as white blood cells. A small sample of blood has 7x10^3 white blood
    14·1 answer
  • Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
    12·2 answers
  • What is a multiple of 4/5
    14·2 answers
  • A customer at least lunches can choose a protein from chicken beef or shrimp the customer can also choose from right or brown ri
    8·1 answer
  • Logan bought 30 balloons. 4/6 of the balloons are purple.<br> How many of the balloons are purple?
    15·1 answer
  • Help
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=a%3D%5Csqrt%7Bb%2B6" id="TexFormula1" title="a=\sqrt{b+6" alt="a=\sqrt{b+6" align="absmiddle"
    11·1 answer
  • Answer pls thanks kfdsdatttdfyui8u90g
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!