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Aleonysh [2.5K]
3 years ago
12

A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and

each number is used only once. How many different possible passwords are there?
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

There can be 14,040,000 different passwords

Step-by-step explanation:

Number of permutations to order 3 letters and 2 numbers (total 5)

(AAANN, AANNA,AANAN,...)

= 5! / (3! 2!)

= 120 / (6*2)

= 10

For each permutation, the three distinct (English) letters can be arranged in

26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways

For each permutation, the two distinct digits can be arranged in

10!/(10-2)! = 10!/8! = 10*9 = 90 ways.

So the total number of distinct passwords is the product of all three permutations,

N = 10 * 15600 * 90 = 14,040,000

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-4x+3x<4 what is the awenswer to this equation
AlladinOne [14]

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

6 0
2 years ago
Select the scenario that correctly represents the given graph.
Mashcka [7]

Answer:

C. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

Step-by-step explanation:

See how the graph is in a "U" shape? That tells us that it first decreases and then goes back up at some point.

The way you would find this answer is to go through each scenario (A, B, C, and D) and think about which thing would make sense to go down and then up.

5 0
3 years ago
the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the b
MA_775_DIABLO [31]
Draw a triangle with shortest side on the ground (horiz.).  The length of this side is 80 feet.  Two angles touch the ground:  a right angle, and the 70 degree angle.
 
Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
                       opp          h
tan 70 deg = -------- = ----------
                        adj        80 ft
                                                                h
Since tan 70 deg  = 2.75,          2.75 = -------
                                                              80 ft

so h = building height = (80 ft)(2.75) = 219.8 ft
6 0
3 years ago
The interior angles of a triangle have measures 90°, 48°, and xº.<br> What is the value of x?
Ahat [919]

Answer:

42°

Step-by-step explanation:

The interior angles of a triangle always add to 180 degrees.

90+48+x=180

x=180-90-48

=42

x is 42°

6 0
2 years ago
Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x &lt; a) = 0.9147, find
lapo4ka [179]

The value of a is 72.74.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

The mean \rm \mu of the distribution is 70

Standard deviation \rm \sigma  is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

\rm Z = \dfrac { X - \mu}{ \sigma}

\rm \rm 1.37 = \dfrac { a - 70}{ 2}

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
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