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Ivahew [28]
3 years ago
7

Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and

are not used. So, there are letters and digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

17576000 different possible license plates

Step-by-step explanation:

Note that in the question, repetition is allowed for both the letters and digits.

For the first letter, there are 26  choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.

Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.

For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.

Therefore, this gives us 10x10x10 =1000 possible numbers.

The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.

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The table shows the height of a plant as it grows. Which equation in point ­slope form gives the plant’s height at any time
vodka [1.7K]

Answer:

Option A is correct.

y-16=8(x-2) is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points (x_1, y_1) and  (x_2, y_2) then,

the general form

y-y_1=m(x-x_1) for linear equations;  where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2} = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

y-y_1=m(x-x_1)

Substitute the value of m=8 and (2, 16) above we get;

y-16=8(x-2)

Therefore, the equation in point slope form which gives the plant's height at any time is; y-16=8(x-2) , where x is the time(months) and y is the plant height (cm)


5 0
3 years ago
Read 2 more answers
Specify what an individual unit is in each of the following studies. Then specify what two variables were measured on each unit.
r-ruslan [8.4K]

Answer:

a) Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

Step-by-step explanation:

We are given the following in the question:

In a research, a unit is a single individual or object that is measured.

a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.

Since college students are asked about procrastination, then the unit in this study is college students.

Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.

Since all SUVs cars are considered, the unit in this research is  SUV cars

Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

7 0
3 years ago
6. Find the area of the triangle below.<br> Be sure to include the correct unit in your answer.
snow_tiger [21]

Answer:

512

Step-by-step explanation: area of triangle= 1/2*base*height

4 0
3 years ago
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I need help with this question
Levart [38]

Answer:

-5.5

Step-by-step explanation:

You just need to subtract the two I'm pretty sure

8 0
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What are the steps to do this and answer?
Zinaida [17]

Answer:

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Step-by-step explanation:

The volume of a cylinder is given by

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V = 3.14 * (9)^2 *6

   =1526.04 mm^2

4 0
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