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
galina1969 [7]
3 years ago
9

Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). (Enter your answers as a comma-sep

arated list. Enter ∅ for the empty set.)
(a) What are the 16 outcomes in ?
(b) Which outcomes are in the event that exactly three of the selected mortgages are fixed rate?
(c) Which outcomes are in the event that all four mortgages are of the same type?
(d) Which outcomes are in the event that at most one of the four is a variable-rate mortgage?
(e) What is the union of the events in parts (c) and (d)?
What is the intersection of these two events?
(f) What is the union of the two events in parts (b) and (c)?
What is the intersection of the two events in parts (b) and (c)?
Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

a)

{FVVV,FFVV,VFVV,VVVV,FVFV,FFFV,VFFV,VVFV,FVVF,FFVF,VFVF,VVVF,FVFF,FFFF,VFFF,VVFF}

b)

{FFFV,FFVF,FVFF,VFFF}

c)

{FFFF,VVVV}

d)

{FFFV,FFVF,FVFF,FFFF,VFFF}

e)

{FFFV,FFVF,FVFF,FFFF,VFFF,VVVV}

{FFFF}

f)

{FFFV,FFVF,FVFF,VFFF,FFFF,VVVV}

{ }

Step-by-step explanation:

a)

The 16 outcomes for a sample of four home mortgages classified as fixed and variable rate are

Sr.No Outcomes

1          FVVV

2         FFVV

3         VFVV

4         VVVV

5         FVFV

6         FFFV

7         VFFV

8         VVFV

9         FVVF

10        FFVF

11         VFVF

12        VVVF

13        FVFF

14        FFFF

15        VFFF

16        VVFF

b)

Let A be the event that exactly three are fixed rate. Thus, event A consists of following outcomes

A={FFFV,FFVF,FVFF,VFFF}

c)

Let B be the event that all four are of same type. The event B consists of either all fixed rate or all variable rate. Thus, event B consists of following outcomes

B={FFFF,VVVV}

d)

Let C be the event that at most one of four is variable rate. The event C consists of less than and equal to one variable rate. Thus, event C consists of following outcomes

C={FFFV,FFVF,FVFF,FFFF,VFFF}

e)

Let union of part(c) and part(d) can be represented as BUC. The union represents all the outcomes in event B and event C.

B∪C={FFFF,VVVV}∪{FFFV,FFVF,FVFF,FFFF,VFFF}

B∪C={FFFV,FFVF,FVFF,FFFF,VFFF,VVVV}

Let intersection of part(c) and part(d) can be represented as B∩C. The intersection represents the common outcomes in event B and event C.

B∩C={FFFF,VVVV}∩{FFFV,FFVF,FVFF,FFFF,VFFF}

B∩C={FFFF}

f)

Let union of part(b) and part(c) can be represented as AUB. The union represents all the outcomes in event A and event B.

A∪B={FFFV,FFVF,FVFF,VFFF}∪{FFFF,VVVV}

A∪B={FFFV,FFVF,FVFF,VFFF,FFFF,VVVV}

Let intersection of part(b) and part(c) can be represented as A∩B. The intersection represents the common outcomes in event A and event B.

A∩B={FFFV,FFVF,FVFF,VFFF}∩{FFFF,VVVV}

A∩B={ }

So intersection of part(b) and part(c) is an empty set as there is no common outcome in these two sets.

You might be interested in
Is 2/7 a proportional expression
allochka39001 [22]

9514 1404 393

Answer:

  no

Step-by-step explanation:

A proportion is an equation saying two ratios are equal to each other.

One ratio is not a proportion.

___

It would be a proportion if it were said to equal something:

  2/7 = peanuts/popcorn . . . is a proportional expression

4 0
2 years ago
(1,6) and (9,14) standard form
Talja [164]

Answer:

(14y+6y)+(9x+1x)

Step-by-step explanation:

7 0
3 years ago
A tree casts a shadow 12 meters long , while a bush nearby casts a shadow 3.5 meters long. If the tree is 3.2 meters tall, how t
Lynna [10]
X = height of bush
12/3.5 = 3.2/x  [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m

The height of the bush is 0.93 meters. 
Best of luck. 
6 0
3 years ago
Angle 3 and angle 4 form a linear pair. The measure of Angle 3 is four more than three
mel-nik [20]

Answer:

angle 3. ( x ) is 136°

angle 4 ( y ) is 44° !!

Step-by-step explanation:

Let angle 3 be x and angle 4 be y

Given, Angle 3 and angle 4 form a linear pair

x + y = 180 [ sum of linear pair angle is 180 ] ... ( i )

Also, The measure of Angle 3 is four more than three

The measure of Angle 3 is four more than threetimes the measure of angle 4.

x = 4 + 3y .... ( ii )

Putting value of x from ( ii ) in ( i )

4 + 3y + y = 180

4y = 176

y = 44

Also, x + y = 180 => x = 180 - 44 = 136

7 0
3 years ago
10x-9 y = 24<br> y=x-2<br> x=<br> Y=
Stels [109]
Answer: x=6 y=4
_____________
5 0
3 years ago
Other questions:
  • Please help with some math.
    6·1 answer
  • Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can. What was the price of a can of tuna witho
    13·2 answers
  • What is the underline value 28 the number 8 is underlined
    14·2 answers
  • The youth center has another mural painted inside the building. if the original painting is 3 feet by 2 feet, and the mural is 1
    6·1 answer
  • Write first three terms of AP with a = -1 and d = 1/2​
    12·1 answer
  • (− <br> 6<br> 11<br> ​ )+m=− <br> 9<br> 2<br> ​
    12·1 answer
  • Use long division to find a repeated decimal equivalency for the fraction. Upload all of your work as part of your final answer.
    9·2 answers
  • What is the slope of a line parallel to the line whose equation is 4x – 2y = 7?
    8·2 answers
  • Malana makes kites she buys 2/3 yard of nylon and 7/9 block of balsa wood the nylon costs 6$ per yard the balsa wood costs $18 p
    12·1 answer
  • The perimeter please help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!