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
padilas [110]
3 years ago
10

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through

a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass.
1. What is the sample space for this random experiment?
A) S ={PPP, FPP, PFP, PPF, FFP, FPF, PFF, FFF}B) S = {P, PP, PPP}C) S = {F, PF, PPF, PPP}D) S = {F, FP, FFP, FFF}E) S= {F, PF, PPF}
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

You might be interested in
The Wild Dogs and the Rattlers also have membership programs. The Wild Dogs' initial fee is $20 and single game tickets are $1.5
tester [92]

Answer:

The first Answer is

 x-min = 0, x-max = 20

What is the best window range of y-values to find the solution?

y-min = 20 , y-max = 40

What is the solution?

8 games will cost $32

7 0
3 years ago
If 2^2x = 2^3, what is the value of x?
Advocard [28]

Answer:

x=3/2

Step-by-step explanation:

2^2x=2^3

2x=3

x=3/2

6 0
3 years ago
it is equally probable that the pointer on a spinner will land on any one of the eight regions. if the spinner lands on a boarde
Tamiku [17]

Answer:

1/3

Step-by-step explanation:

3 0
3 years ago
Lily goes to gym once every 8 days. Ann goes once every 12 days and Taylor comes once every 16 days. This Wednesday all of them
ahrayia [7]
<h3>Answer:</h3><h3>All of them meet at the gym again after 48 days and it will be tuesday</h3>

Step-by-step explanation:

Lily goes to gym once every 8 days.

Such that she will visit on 8, 16 , 24, 32 , 40, 48th days

Ann goes once every 12 days

Such that she will visit on 12, 24, 36, 48, 60th days ....

Taylor comes once every 16 days

Such that she will visit on 16, 32, 48, 64th days....

Comparing the common days on which they will visit again after wednesday,

it will be after 48 days, (i.e) after 6 weeks and 5 days, it will be tuesday

3 0
3 years ago
Read 2 more answers
Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.
Anton [14]
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B, 
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7  [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!
6 0
3 years ago
Other questions:
  • HELP!!!!!!!!! ME!!!!!!!!! HELP!!!!
    11·1 answer
  • Zoe and Hannah share tips in the ratio 3:7 <br> Last week ,Zoe received £24
    7·1 answer
  • The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3 kg and standard deviation 0.1
    14·1 answer
  • NEED HELP ASAP 20POINTS The energy (and cost) needed to operate an air conditioner is proportional to the volume of a space that
    7·1 answer
  • Please answer quickly its for a test!
    9·1 answer
  • Which size can of green beans shown in the table has the lowest unit price? ​
    5·2 answers
  • Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him to cover this distance if he
    14·1 answer
  • Darla wants to buy a dress for $20 and some shirts for $12 each. She has $80. Write and solve an inequality to find the number o
    14·1 answer
  • The law of cosines is a2 +62 - 2abcosC = (2. Find the value of 2abcosC.
    5·2 answers
  • Cora is bringing donuts to work as a treat for her co-workers. She buys 12 donuts for $9.96. How much does each donut cost? 30 P
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!