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
mash [69]
3 years ago
12

How many pairs can be made from 8 different objects?

Mathematics
1 answer:
NeTakaya3 years ago
3 0
The correct answer is 31. I did it incorrectly the first time, but the answer is 31. :-) Thanks Olivia!
You might be interested in
Points C and D lie on circle O as shown below. If OC = 6x+2 and OD = 10x -16, then find the length of the radius of circle O.
Ket [755]
Radius = OC = OD

Solve for x:

10x -16 = 6x+2

4x = 18

x = 9/2 = 4.5

Sub 'x' back into OC

OC = 6(4.5) + 2 = 29

Radius = 29
3 0
3 years ago
A turtle crawls 240 yards in 1 hour find the rate in feet per second
Mila [183]
240 yards per hour is 720 feet per hourto convert hours to seconds, divide 720 feet by 3600 seconds per hour to get0.2 feet/foot per secondOR1/5 feet/foot per second
7 0
3 years ago
In matrix A = (aij) 3 x 3 , where aij= i+j then find the value of a33<br>​
Tanya [424]

Answer: -9

Step-by-step explanation:

3 0
2 years ago
Wirth 20 points (02.02)A shape is shown on the graph:
miv72 [106K]

Answer:

The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.

Step-by-step explanation:

HOPE I HELPED

8 0
3 years ago
Read 2 more answers
Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Vis
Mice21 [21]

Answer:

Step-by-step explanation:

Given that,

Visa card is represented by P(A)

MasterCard is represented by P(B)

P(A)= 0.6

P(A')=0.4

P(B)=0.5

P(B')=0.5

P(A∩B)=0.35

1. P(A U B) =?

P(A U B)= P(A)+P(B)-P(A ∩ B)

P(A U B)=0.6+0.5-0.35

P(A U B)= 0.75

The probability of student that has least one of the cards is 0.75

2. Probability of the neither of the student have the card is given as

P(A U B)'=1-P(A U B)

P(A U B)= 1-0.75

P(A U B)= 0.25

3. Probability of Visa card only,

P(A)= 0.6

P(A) only means students who has visa card but not MasterCard.

P(A) only= P(A) - P(A ∩ B)

P(A) only=0.6-0.35

P(A) only=0.25.

4. Compute the following

a. A ∩ B'

b. A ∪ B'

c. A' ∪ B'

d. A' ∩ B'

e. A' ∩ B

a. A ∩ B'

P(A∩ B') implies that the probability of A without B i.e probability of A only and it has been obtain in question 3.

P(A ∩ B')= P(A-B)=P(A)-P(A∩ B)

P(A∩ B')= 0.6-0.35

P(A∩ B')= 0.25

b. P(A ∪ B')

P(A ∪ B')= P(A)+P(B')-P(A ∩ B')

P(A ∪ B')= 0.6+0.5-0.25

P(A ∪ B')= 0.85

c. P(A' ∪ B')= P(A')+P(B')-P(A' ∩ B')

But using Demorgan theorem

P(A∩B)'=P(A' ∪ B')

P(A∩B)'=1-P(A∩B)

P(A∩B)'=1-0.35

P(A∩B)'=0.65

Then, P(A∩B)'=P(A' ∪ B')= 0.65

d. P( A' ∩ B' )

Using demorgan theorem

P(A U B)'= P(A' ∩ B')

P(A U B)'= 1-P(A U B)

P(A' ∩ B')= 1-0.75

P(A' ∩ B')= 0.25

P(A U B)'= P(A' ∩ B')=0.25

e. P(A' ∩ B)= P(B ∩ A') commutative law

Then, P(B ∩ A') = P(B) only

P(B ∩ A') = P(B) -P(A ∩ B)

P(B ∩ A') =0.5 -0.35

P(B ∩ A') =0.15

P(A' ∩ B)= P(B ∩ A') =0.15

5 0
2 years ago
Other questions:
  • Find the simple interest on a $340 loan at a 15% annual interest rate for 1<br> year
    9·2 answers
  • Classify the following triangle, check all that apply
    13·1 answer
  • The degree of a vertex is <br><br> Help please
    9·1 answer
  • What is 555.55 rounded to the nearest tenth?
    9·1 answer
  • By rounding to one significant number, estimate the answer to these questions:
    9·1 answer
  • Which is irrational? <br><br> A. 5/2 <br> B. 5.22 <br> C. 2/5 <br> D. √5/2
    5·1 answer
  • Express 1010two to base ten​
    11·1 answer
  • In a concert hall, there are 22 seats in the first row. There are 27 seats in the second
    7·1 answer
  • a) How many triangles are created when diagonals are drawn from a single vertex in an n-gon? b) What is the sum of interior angl
    12·1 answer
  • 6. Given that g(x) is the inverse of f(x)...
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!