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
sashaice [31]
3 years ago
13

How many different passwords can be made if it is three letters, followed by two digits, followed by a letter? (Repetition is al

lowed.) Use the fundamental counting principle.
Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

There are 45,697,600 different passwords.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

3 letters, each with 26 possible options(ways).

Two digits, each with 10 possible options.

One digit, with 26 possible options.

How many different passwords?

Each digit/letter is independent, so:

26*26*26*10*10*26 = 45,697,600

There are 45,697,600 different passwords.

You might be interested in
List the domain and range of the relation.<br> ​{(5​,-5​), ​(7​,7​), ​(0​,-5​), ​(7​,1​) ​(5​,​5)}
artcher [175]

Answer:

domain = (0,5,7)

range = (-5,1,5,7)

Step-by-step explanation:

domains are the x in (x,y) , and ranges are y in the (x,y) relations.

4 0
3 years ago
Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

Therefore, the correct answer is: option D

7 0
1 year ago
When a question ask you to describe the relationship what does that mean and how will u do it
yanalaym [24]

In this case you can say in one hour Austin earns $7.50.

4 0
3 years ago
There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population d
pochemuha
A petri dish is simply a circle; thus, we use the formula of the area of the circle which is <span>πr^2. 
Given r = 40 mm
A = </span>π(40)^2 = <span>5026.55 sq. mm
</span>
Population density = bacteria count / area
PD = 2,100 / <span>5026.55
PD = </span><span>0.417782 bacteria / mm sq.

Therefore, the answer is approximately 0.418 </span><span>bacteria per square millimeter.</span>
6 0
3 years ago
Read 2 more answers
4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality
Valentin [98]

Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

6 0
3 years ago
Other questions:
  • I bought 3boxes of pretzels I had 60 in each box then I ate2/5 of the pretxels
    11·1 answer
  • Rename 780,000 = 78 ______
    13·2 answers
  • 1. State if each scenario involves a permutation or a combination. Then find the number of possibilities:(a) Castel and Joe are
    7·1 answer
  • 1. It took 3/4 h to complete 1 game of cards. How many games can be completed in 2 1/4 h?
    15·1 answer
  • Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other i
    14·1 answer
  • Evaluate 5x + 7 for x = - 2 plz help fastt​
    14·1 answer
  • Can someone please help me! I don’t understand how to do this!
    5·2 answers
  • In any​ year, the weather can inflict storm damage to a home. From year to​ year, the damage is random. Let Y denote the dollar
    11·1 answer
  • Answer 1-2 no links.​
    13·2 answers
  • The length of a square is 3x - 4 units. Find the area in terms of x.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!