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
jeka57 [31]
3 years ago
6

If someone could help me with this problem it'd be very much appreciated!! *sorry for the quality btw

Mathematics
1 answer:
Alika [10]3 years ago
6 0
Okay, lets write down what we do know...

4 out of the 12 cups are decaf, so the odds of selecting a decaf cup by random is 4/12 or 1/3

Alternatively 8 of the 12 cups are caffeinated, so the odds of selecting a caffeinated cup by random is 8/12 or 2/3

P(decaf)=1/3
P(caf)=2/3

But those odds are only for the first cup picked. The second cup has 4 probabilities...

1. Picking a decaf cup for the second time

2. Picking a decaf cup for the first time

3. Picking a caf cup for the second time

4. Picking a caf cup for the first time

So lets find the probability of each event...

1. Picking a decaf cup for the second time. If a decaf cup has already been picked, then the odds of drawing another one is 3/11


2. Picking a decaf cup for the first time. If a decaf cup hasn't already been picked, then the odds of drawing one is 4/11


3. Picking a caf cup for the second time. If a caf cup has already been picked, then the odds of drawing one is 7/11

4. Picking a caf cup for the first time. If a car cup hasn't already been picked, then the odds of drawing one is 8/11.

Okay, so now we can solve for the various possibilities.

1. Picking a decaf cup for the second time
1/3*3/11=3/33

2. Picking a decaf cup for the first time
2/3*4/11=8/33

3. Picking a caf cup for the second time
2/3*7/11=14/33

4. Picking a caf cup for the first time
2/3*8/11=16/33

Both cups were caffeinated, so neither were decaf.

Answer= Neither cup is decaf.

You might be interested in
Please help explanation if possible
posledela
Answer: 7.42x10^3 . . . . .
7 0
3 years ago
Two drunks start out together at the origin, each having equal probability of making a step to the left or right along the x axi
pashok25 [27]
They'll meet wen they are sober lol
7 0
3 years ago
If you invest $5,000 at 1.8 percent for 5 years, compounded quarterly, what is the amount in the
Drupady [299]

Answer: C. $5,470

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $5000

r = 1.8% = 1.8/100 = 0.018

n = 4 because it was compounded 3 times in a year(12/4 = 3 times)

t = 5 years

Therefore,

A = 5000(1 + 0.018/4)^4 × 5

A = 5000(1 + 0.0045)^20

A = 5000(1.0045)^20

A = $5470 to the nearest whole number

4 0
3 years ago
Express the first quantity as a percentage of the second<br>(ii) 500 gm, 6 kg​
Dmitriy789 [7]
Answer; (i) 40 p, Rs 2 = 40 p to 200 p (1 Rupee = 100 paise)
Explanation;

5 0
3 years ago
Help plz thx thx for the help​
lbvjy [14]

Answer:

A is irrational and I believe the rest are rational

7 0
3 years ago
Other questions:
  • PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
    14·2 answers
  • Which function is quadratic function?
    5·2 answers
  • State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal
    11·1 answer
  • *J has coordinates of (10,-2) and n has coordinates of (-4,6) find the midpoint of jn
    8·2 answers
  • Which Of The Equations Below Best Describes The Graph? Mark All That Apply. (Please Help) 15 pts !
    8·1 answer
  • Cassie has $400 in her account. On average, she deposits $8 into her account every day, for m days. Write an expression to deter
    6·2 answers
  • Which of the following would be considered a sunk cost?
    5·1 answer
  • Martha earns $15 per hour for babysitting. The parents always giver her a $5 tip.
    11·1 answer
  • PLEASE HELP ME WITH THIS!! THANK YOU!!!
    10·1 answer
  • Proportions in similar triangles
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!