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vichka [17]
3 years ago
5

A liscense plate consists of 2 letters followed by 4 digits. If the two letters must be different and the first digit cannot be

0, how many liscense plates are possible?
Mathematics
2 answers:
Ann [662]3 years ago
7 0

Answer:

S = 5,850,000 possible plates

Step-by-step explanation:

There are 26 letters in the abcedary and 10 possible digits

Then we know that the first 2 letters must be different and that the first digit must not be zero.

So we know that for the first letter there are 26 possibilities

For the second letter there are 25 possibilities, because it should not be equal to the first

For the first digit there are 9 possibilities (because it must be non-zero)

For the 3 following digits there are 10 possibilities for each one.

Then the sample space is composed of the product of the possible values for each term of the plate.

S = 26 * 25 * 9 * 10 * 10 * 10

S = 5,850,000 possible plates

Lubov Fominskaja [6]3 years ago
5 0

Answer:

2,948,400

Step-by-step explanation:

<u>For the first letter</u>, there are possibility of putting 26 different letter from the alphabet.

<u>For the second letter,</u> there are possibility of putting 25 different letters from the alphabet (since repetition is not allowed from first digit)

Now,

<u>For first digit</u>, there is possibility of 9 digits, since 0 is NOT ALLOWED.

<u>For second digit,</u> there is possibility of 9 digits, since 0 IS ALLOWED BUT repetition of first digit is not allowed.

<u>For third digit,</u> there is possibility of 8 digits, since 2 are taken in first 2 slots and repetition is not allowed.

<u>For fourth digit,</u> there is possibility of 7 digits, since 3 are taken in first 3 slots and repetition is not allowed.

<em><u>Now we multiply all the possibilities to get the number of license plates possible.</u></em>

26 * 25 * 9 * 9 * 8 * 7 = 2,948,400

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Answer:

B. 10/91

Step-by-step explanation:

Box has 5 red buttons and 9 blue buttons.

We add 5 and 9 to get the total buttons.

5 + 9 = 14

Then, we find the probability for a red button.

5/14 = .35

Now, that we've taken out 1 button.

The amount of buttons available changes.

14 - 1 = 13

There are 4 red buttons remaining.

The probability for a red button changes to 4/13.

4/13 = .30

Then, we multiply both probabilities.

.30 x .35 = .111

Convert to a fraction.

.111 = 10/91

Thus it would be B.

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2 years ago
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3 years ago
Y – 11 = 3(x – 2) <br> in standard form
emmainna [20.7K]

Answer:

3x + y = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property
  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

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Step-by-step explanation:

<u>Step 1: Define</u>

[PS]   y - 11 = 3(x - 2)

<u>Step 2: Rewrite</u>

<em>Find Standard Form</em>

  1. Distribute 3:                                  y - 11 = 3x - 6
  2. Subtract 3x on both sides:          -3x - y - 11 = -6
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  4. Factor -1:                                       -1(3x + y) = 5
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Answer:

A and B

Step-by-step explanation:

When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.

Hope this helped ^-^

7 0
3 years ago
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AlekseyPX

Answer:

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Step-by-step explanation:

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