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
viva [34]
2 years ago
11

A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales

, they decide to offer a contest throughout the spring. The contest is pretty simple: when you open your bottle of soda, if it says, “You win!” under the cap, you get another bottle of their soda for free. The chance of winning a free soda is 1 in 12. Lucky Lucy bought five sodas and won a free one with four of the caps. What’s the probability of that happening? Theoretically, how many sodas would you have to buy before having a greater than 50% chance of winning a free soda?
Mathematics
1 answer:
Alexxx [7]2 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of winning caps out of 5 bottles.

Checking the binomial criteria:

- Number of trials is fixed n=5 bottles of soda

- Only two possible outcomes per trial: "success": winning cap; "failure": regular cap.

- The trial are independent.

- The probability of success is constant trough the experiment p= 1/12= 0.083

This variable has a binomial distribution with parameters n= 5 and p= 0.083

You have to calculate the probability of getting 4 out of 5 winning caps

P(X=4)

Using the following formula:

P(X=4)= \frac{n!}{(n-X)!X!} * (p)^{X} * (q)^{n-X}= \frac{5!}{1!4!} * (0.083)^{4} * (0.917)^{1}= 0.0002

Or using the tables for accumulated probabilities:

P(X=4)= P(X≤4)-P(X≤3)= 0.9999 - 0.9997= 0.0002

You might be interested in
F = uv/u + v make u the subject
never [62]

I'm assuming that you mean

\dfrac{uv}{u+v}

because if you meant

\dfrac{uv}{u}+v

then u would simplify and you couldn't make it the subject.

Under this assumption, we start with

F=\dfrac{uv}{u+v}

We multiply both sides by u+v

F(u+v)=uv

We expand the left hand side:

Fu+Fv=uv

We move all terms involving u to the left and all terms not involving u to the right:

Fu-uv=-Fv

We factor u on the left hand side:

u(F-v)=-Fv

We divide both sides by F-v

u=\dfrac{-Fv}{F-v}

3 0
3 years ago
The slope of the line y=2/3x+5/9 is M=
beks73 [17]

Answer: 7

Step-by-step explanation:

8 0
2 years ago
Rewrite this radicand as two factors, one of which is a perfect square.
seropon [69]

Answer:

2 \sqrt{15}

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

\sqrt{2 \times 2 \times 3 \times } 5

2) group the smae prime factors into pairs.

\sqrt{(2 \times 2)}  \times 3 \times 5

3) Rewrite each pair in exponent form.

\sqrt{ {2}^{2} \times 3 \times 5 }

4) use this role:

\sqrt{ {x}^{2} }  = x

2 \sqrt{3 \times 5}

5) Simplify.

4 \sqrt{15}

So, therefor, the answer is option 1.

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 12<br> and their product is 32.<br> What are the two numbers ?
kumpel [21]

Answer:

8 and 4

Step-by-step explanation:

8 x 4= 32

8+4 = 12

8 0
2 years ago
Write and equation in slope intercept form of a line that has a slope of 1/3 and passes through the point (6,0)
ladessa [460]

y=(1/3)x-2

Step-by-step explanation:

the slope-intercept form is y-y1=m(x-x1)

hence, y-0=1/3(x-6) or y=(1/3)x-2

3 0
2 years ago
Other questions:
  • I need help with all of number 2 pls
    10·1 answer
  • you have to be 48 inches tall to ride the roller coaster.eva is 45 inches tall.if she grows 2 inches each year, will she be able
    9·1 answer
  • Twelvetelephones have just been received at an authorized service center. Fourof these telephones are cellular, four are cordles
    10·2 answers
  • Enter the coordinates of the vertex of the graph of y=2(x+5)^2
    13·2 answers
  • What is 12/25​ to a percent.
    15·2 answers
  • What is the length of the missing base of the trapezoid?<br><br> 3 in<br> 8 in<br><br> Area= 21 in2
    5·1 answer
  • Solve the system of equations shown below?
    14·1 answer
  • Bill's boss paid $20.05 for doughnuts for the office staff. The total included 1.30 cents for tax and $1.25 per doughnut. How ma
    13·2 answers
  • The area of a rectangle is 27cm squared
    9·2 answers
  • A person driving her car at 12.5 m/s approaches an intersection just as the traffic light turns yellow. She knows that the yello
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!