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jeka94
10 months ago
8

standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ

ent standard plates are possible in this system? (assume repetitions of letters and numbers are allowed.) there are different standard plates possible in this system.
Mathematics
1 answer:
RoseWind [281]10 months ago
5 0

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>
  • The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
  • The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

#SPJ4

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lina2011 [118]
Hello!

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\pi  r^{2}  \frac{h}{3}

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Put in the values we know

3.14 *  9^{2} *  \frac{4}{3}

Square the number

3.14 * 81 *  \frac{4}{3}

multiply 81 by 3.14

254.34 *  \frac{4}{3}

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The answer is 339.1 cubic inches

Hope this helps!
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3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
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Answer: y=-3x+29

Step-by-step explanation:

First put in y-intercept form to find the slope

4x-12y=2\\-12y=-4x+2\\y=\frac{1}{3} x-\frac{1}{6}

Slope of the 1st equation is 1/3-  the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3

Use the point and the new slope to write the new equation in point slope format

y-y_{1} =m(x-x_{1} )\\y-(-1)=-3(x-10)\\y+1=-3x+30\\y=-3x+29

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3 years ago
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Inga [223]
This is your answer.

5 0
3 years ago
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Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as <em>Pearson's correlation</em> or <em>Pearson's R</em> is most commonly used in linear regression. The formula to calculate it is:

r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]

To find the value of R:

1) Separate the values of X and Y and out them in 2 columns.

2) Add 3 more columns: for xy, x² and y²;

3) Find the values of each column;

4) Add each column;

5) Put the sum of each column in its place on the formula above;

6) Find the correlation.

i) For this question, r = 0.9645. As it's <u>positive</u>, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.

ii) The Senator should distribute Norvasc to the old adults groups, because, as the <u>population grows</u>, the death associated with high blood pressure will <u>also grow</u>, as explained by the correlation coefficient.

7 0
3 years ago
PLEASE HELP I NEED THIS ASAP!!!
skelet666 [1.2K]

Answer:I’m gonna say 2

Step-by-step explanation:

photo math helped me get the answer and if u look closely u can see theres a positive and a negative in that chart hope this helps

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2 years ago
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