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dexar [7]
3 years ago
13

A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How ma

ny plates can the state issue?
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer: There are 456975758 plates that the state can issue.

Step-by-step explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

(26^4)\times 10^3=456976000

So, the restricted letters deducting would be

456976000-242=456975758

Hence, there are 456975758 plates that the state can issue.

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Find the mode of the data set: 9 6 7 3 10 9
Phoenix [80]

Answer:

9

Step-by-step explanation:

Math definition Mode means anything that repeats more than anything else.

Eg.(4, 5, 6, 2, 2, 4, 4, 4, 4, 5, 3, 5)

The mode in the bracket is 4. Some of the numbers occured more than once but 4 occured the most that's why it's 4

4 0
3 years ago
points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w
olga_2 [115]
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²]  = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28  --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

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Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28 
Solving for y, 
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0
3 years ago
Read 2 more answers
How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit p
Greeley [361]

Answer:

10.89

Step-by-step explanation:

Circle:

C = TTD

C = TT(6.6)

C = 20.73451151

C = 20.73

Triangle:

A = bh/2

A = 6.6(3.3)/2        6.6/2=3.3

A = 21.78/2

A = 10.89

Shaded Region = 10.89

5 0
3 years ago
HELP!!!! Solve for y in the following equation: -4y + 9 = -28
Flura [38]

Answer:

y = 37/4

Step-by-step explanation:

7 0
3 years ago
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A population of 1,000 squirrels lives on a rectangle-shaped farm plot that is 25 feet long by 10 feet wide what is the populatio
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First, find the area of the plot:
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the population density is 4 squirrels per square foot.
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3 years ago
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