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mihalych1998 [28]
3 years ago
7

In a certain state, license plates consist of three letters followed by three numbers.

Mathematics
1 answer:
Anton [14]3 years ago
8 0

a. If any letters and numbers are allowed, there will be

... 26×26×26×10×10×10 = 260³ = 17,576,000 possible plates

b. If the letters and numbers cannot repeat, there will be

... 26×25×24×10×9×8 = 11,232,000 possible plates with no repeats

c. The proabaility that a randomly chosen plate has no repeats is

... 11,232,000/17,576,000 = 108/169 ≈ 0,63905

_____

When no repeats are allowed, the first letter choice can be any of the 26 letters. The second letter choice must exclude the first letter, so there are only 25 different letters to choose from. Likewise, the third letter choice cannot be either of the first two, so there are only 24 letters to choose from. The reasoning applies to numbers in similar fashion.

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jek_recluse [69]

Answer:

It is not a one to one function

Step-by-step explanation:

Required

Determine if f(x) = round(x) is a one to one function

This question is best answered using illustrating values;

Let x = 1.1

f(x) = round(x) becomes

f(1.1) = round(1.1)

f(1.1) = 1

Let x = 1.3

f(x) = round(x) becomes

f(1.3) = round(1.3)

f(1.3) = 1

Notice that for the two values of x, f(x) has the same value of 1.

This two illustrating values can be used to conclude that the fuction is not one-to-one.

6 0
3 years ago
Need help due tonight!
netineya [11]

Answer:

y = 4.375x + 2.5

Step-by-step explanation:

The equation of the line is expressed as y = mx+c

m is the slope

c is the intercept

Using the coordinate points (0, 2.5), (4, 20)

Slope m = 20-2.5/4-0

m = 17.5/4

m = 4.375

Get the intercept

Substitute (0, 2.5) and m = 4.375 into y - mx+c

2.5 = 4.375(0) + c

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Get the equation required

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3 years ago
Mention the commutativity associative and distributive properties of rational number
evablogger [386]

Answer:

Associative property: a + (b + c), a – (b – c) ≠ (a – b) – c, a × (b × c) = (a × b) × c, and a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c

When a = ½ and b = ¾

Now, for checking a × b = b × a, consider LHS and RHS.

LHS = a × b = ½ × ¾ = ⅜

RHS = b × a = ¾ × ½ = ⅜

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Step-by-step explanation:

6 0
3 years ago
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torisob [31]

Answer:

2x^2+6x+3

Step-by-step explanation:

answer : 2x^2+6x+3

3 0
3 years ago
Is this true or false need answer asap
VLD [36.1K]
Answer: True

Step-by-Step Explanation:

=> 2x + 3y = -7 (Eq. 1)
=> -x = 2y (Eq. 2)
=> x = 1, y = -3

Substitute values of ‘x’ and ‘y’ in Eq. 1 :-

=> 2x + 3y = -7
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Therefore, it is a Solution.
3 0
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