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
stira [4]
3 years ago
15

Using the following information = Universal set = {2,3,4,5,6,7,8,9,12,13,14,16,20,22,56). Subset A = {9,12,13,20,22,56); Subset

H= {4,5,8,9,16,22) and Subset C = {1,4,20,22,56} Find: a) P [(AnH)UC] (b) P (HnC)’ (c) P(H)’ (d) P[C\H] (e) P [A\C]
Mathematics
1 answer:
Cloud [144]3 years ago
7 0

\dfrac{2}{5},\dfrac{13}{15},\dfrac{3}{5},\dfrac{1}{5},\dfrac{1}{5}

step-by-step explanation:

The intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B.

The union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

P(s) of a set s is defined as ratio of number of elements in s to the number of elements in universal set

given Universalset=\{\text{2,3,4,5,6,7,8,9,12,13,14,16,20,22,56}\}

given A=\{9,12,13,20,22,56\} and H=\{4,5,8,9,16,22\}

and C=\{1,4,20,22,56\}

For Question A:

A∩H=\{9,12,13,20,22,56\} ∩ \{4,5,8,9,16,22\}

=\{9,22}\}

(A∩H)∪C=\{9,22}\} ∪ C=\{1,4,20,22,56\}=\{1,4,9,20,22,56\}

p((A∩H)∪C)=\frac{6}{15}=\frac{2}{5}

For Question B:

H∩C=\{4,22\}

p(H∩C)'=\frac{15-2}{15}=\frac{13}{15}

For Question C:

p(H)'=\frac{15-6}{15}=\frac{3}{5}

For Question D:

C\H=\{1,20,56\}

p(C\H)=\frac{3}{15}=\frac{1}{5}

For Question E:

A\C=\{9,12,13\}

p(A\C)=\frac{3}{15}=\frac{1}{5}

You might be interested in
Determine if line AB is tangent to the circle. Type
adoni [48]

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

6 0
3 years ago
Can someone please help I will add a random question and give 20 extra points :)
BigorU [14]

Answer:

Step-by-step explanation:

probability ∈[0,1]

or probability ≥0

and ≤1

so a,b,g cannot be the probability of an event.

4 0
3 years ago
Read 2 more answers
Find the inverse function? I need help.
Tatiana [17]
Super easy. Take the function, and replace X with Y and Y with X. For example, if Y=12/x, then the inverse would be X=12/Y. Now solve for Y, so XY=12, the Y=12/x.
6 0
3 years ago
If you can’t see the pic don’t bothering answering. plsss hurry
yawa3891 [41]
1,728 have a nice day
7 0
3 years ago
Is 14=28/x linear or nonlinear?
andrew-mc [135]

Answer:

linear

Step-by-step explanation:

a linear equation takes the form Ax+by=c and has its highest power to be 1

6 0
3 years ago
Other questions:
  • Choose the best estimate for the volume of a bathtub. A) 50 quarts B) 50 gallons C) 50 cups D) 50 teaspoons
    11·2 answers
  • What is sela's speed in yards per minute if her speed is 24 miles per hour
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7B3%7D%5E%7B5%20%7D%20%20%2B2%285%20-%202%20%5Ctimes%
    12·1 answer
  • UJ 1641"
    9·1 answer
  • What single decimal multiplier would you use to decrease by 12% followed by a 4% increase
    12·1 answer
  • Heather collects shells. The picture shows the 18 shells that she found on her family beach vacation. She wants to use all of
    11·1 answer
  • Help please will mark brainliest!!
    15·1 answer
  • 4 + 8x = -12 <br> what is X?
    8·2 answers
  • Given the points (-9, 8) and (4, -1), find the rate of change between the points.
    14·1 answer
  • At the beginning of the school year, the 7th grade class at Oak Hill Middle School has 480 students. There are 270 girls and 210
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!