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sp2606 [1]
3 years ago
15

License plate numbers in a certain state consists of seven characters. The first character is a digit (0 through 9). The next fo

ur characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number in this state can be any string of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit (a) How many different license plate numbers are possible?
Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

67,600

Step-by-step explanation:

For the first and last two characters, there are ten possible digits (0 through 9) for each character.

For the second through sixth character, there are 26 possible letters (A through Z) for each character.

The number of all possible license plate combinations "n" is given by the multiplication of each digits range of possible outcomes:

n=10*26*26*26*26*10*10\\n=456,976,000

Since there are no restrictions for repeated characters, there are 456,976,000 different license plate numbers are possible.

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. Samantha is three times as old as Jason. The sum<br> of their ages is 56 years. How old is each?
8_murik_8 [283]

Step-by-step explanation:

let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)

Now,

3x+x=56 (sum of their ages is 56)

or 4x=56

or x=56/4

or x=14

therefore age of samantha=3x=3×14=42

age of jason = x = 14

4 0
2 years ago
What is the probability of rolling a 6 sided die and getting a 4 or a number divisible by 3. A) 1/3 B) 1/18 C) 2/3 D) 1/2
KATRIN_1 [288]
Let 
Event A = rolling a 4 on a single die
Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: Choice D) 1/2
6 0
3 years ago
An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are
Serjik [45]
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1

surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is  V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
4 0
3 years ago
What is the atomic number of the element represented by the diagrams
ratelena [41]

Answer:where is the diagram so i could help you

Step-by-step explanation:

4 0
3 years ago
Describe the steps you can use to find an average of fractional amounts.
oksano4ka [1.4K]
Add up the fractional amounts and divide them by however many amounts there are..........

eg.

Step 1:Add the fractions
1/6 + 5/8 +3/4 
(find the LCD)
1/6 + 5/8 + 3/4 = 4/24 + 15/24 + 18/24 = 37/24

Step 2: Divide the sum by the number of numbers in the set
37/24 ÷ 3= 37/24 ÷ 3/1= 37/24 X 1/3= 37/72

<span>So the mean (average) is 37/72</span>
5 0
3 years ago
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