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
Lera25 [3.4K]
3 years ago
12

Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a r

ace car, or a magnifying glass. Each prize is equally likely to be in a box. Question 1. How many boxes of Cracker Jacks would you expect to buy until you obtain a complete set of prizes
Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

E_2 = (\frac{4}{5})^{-1} = 1.25

For the next unique toy, there is now a 3 in 5 chance of getting it:

E_3 = (\frac{3}{5})^{-1} = 1.67

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

E_4 = (\frac{2}{5})^{-1} = 2.5

Finally, there is a 1 in 5 chance to get the last unique toy:

E_5 = (\frac{1}{5})^{-1} = 5

The expected number of boxes to obtain a full set is:

E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes

You might be interested in
14. Find mZCDB.<br> B<br> С<br> 18<br> 7<br> D<br> 47°<br> А A
Anna [14]

Answer:

n,

Step-by-step explanation:

n

8 0
3 years ago
Simplify: (2x – 3)2<br><br> 4x2 + 9<br><br><br> 4x2 – 12x + 9<br><br> 4x2 – 12x + 6<br><br> 4x2 – 6
Alexxandr [17]

Answer:

4x^2-12x+9

Step-by-step explanation:

we have

(2x-3)^2

we know that

(a-b)^2=a^2-2ab+b^2

In this problem

a=2x\\b=3

substitute in the formula

(2x-3)^2=(2x)^2-2(2x)(3)+(3)^2

(2x-3)^2=4x^2-12x+9

7 0
3 years ago
Read 2 more answers
The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are sell
olga55 [171]

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) =

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

6 0
2 years ago
After sales tax, a $600 antique clock costs $642. What is the sales tax percentage?
LenKa [72]

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7

5 0
2 years ago
Read 2 more answers
Ms Durham buys a metre of fabric. She cuts off 30) cm. The amount of fabric left in<br> cm is?
oksian1 [2.3K]
70 cm

ex:
100 cm in a meter
so you’d do 100-30 cm
and that equals 70 centimeters
6 0
3 years ago
Other questions:
  • On the first day of a measles outbreak at a school, 5 students were identified to have the measles. Each day for the following t
    12·1 answer
  • What is the answer to −3(2w+6)−4 ?
    7·2 answers
  • A motorboat can maintain a constant speed of 17 miles
    13·1 answer
  • What is the area of rectangle ABCD
    7·1 answer
  • Determine whether the results below appear to have statistical​ significance, and also determine whether the results have practi
    9·1 answer
  • Multiple choice help plz!!!!
    9·1 answer
  • Spam: A researcher reported that 71.8% of all email sent in a recent month was spam. A system manager at a large corporation bel
    15·2 answers
  • The ratio of the side lengths of Rectangle A to Rectangle B is 3 to 7. What is the
    11·1 answer
  • Evaluate the expression.<br> 4(11 + 7) – 9.8
    8·2 answers
  • Consider the graph show?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!