A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system

Answers

Answer 1

I am pretty positive the answer is 17,576

Answer 2

LLNNN, we contain 676000 combinations available for license plates.

How to estimate the number of possible license plates?

The number on license plates exists in the form LLNNN, where L denotes a letter and N denotes a number.

As L can be anything from A to Z, there exist 26 combinations for that and as repetition stands allowed, for second and third letters, we also contain 26 combinations available, and therefore 26 × 26 = 676 combinations for letters.

But numbers exist from 0 to 9 i.e. 10 combinations for each place and a total of 10 × 10 × 10 = 1000 combinations.

Therefore, LLNNN, we contain 676000 combinations available for license plates.

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Related Questions

PLS HELPPP WHAT IS THE ANSWER????

Answers

Answer:

212

Step-by-step explanation:

starting with (xy)

you first plug in x=2 and y=3

(2×3) = 6

then we add in the exponent of 3

6^3 = 216

this is because an exponent shows you how many times the number is multiple by itself (6×6×6)

next we work on x^4 by plugging in x=2

2^4=16

2×2×2×2

we do the same for x^2

2^2=4

2×2

next we do the division

16/4=4

finally we take the 216 and 4 and do the subtraction

216-4=212

Luke and Quinten are discussing what shapes the composite figure can be broken into. Luke wants to break it into four right triangles and one rectangle. Quinten wants to break it into two right triangles and two rectangles. Who identified a correct way to break up the shape?
A. Luke
B. Quinten
C. Both Luke and Quinten
D. Neither Luke nor Quinten

Answers

Answer:

it's C

Step-by-step explanation:

i took the test and got it right

Answer:

it's [C]  I got it right on my test

Step-by-step explanation:

12. If Aryial can read 3 pages of his book in 6 minutes. How many pages can he read in
Se an hour at the current rate?

Answers

Answer:

30 Pages

Step-by-step explanation:

Make a ratio:

[tex]\frac{3}{6} =\frac{x}{60}[/tex]

Cross multiply:

180=6x

Divide both sides by 6:

x=30

Answer:

30

Step-by-step explanation:

divide 60 by 6 and you get 10. Then take 10 and times it by 3

Solve the system by substitution.

y=4x-9
y=x-3

Answers

X-3=4x-9
X=4x-9+3
X=4x-6
X+6=4x |-x
6=3x |:3
X=2

Answer:

(2, -1)

Step-by-step explanation:

Given

y = 4x - 9y = x - 3

Solving

Substitute the value of one of the y values from the other equation4x - 9 = x - 33x = 6x = 2y = 2 - 3y = -1(2, -1)

I need help, question is in image.​

Answers

the answer is -8. hope this helps

150% of a number is x. What is 100% of the number? Assume x>0

Answers

Answer:

0.667x

Step-by-step explanation:

150% = x

100% = ?

=> 100% * x / 150% = 0.667x

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students. a 4-column table with 3 rows. the first column has no label with entries male, female, total. the second column is labeled math favorite subject with entries 0.35, 0.45, 0.41. the third column is labeled other favorite subject with entries 0.65, 0.55, 0.59. the fourth column is labeled total with entries 1.0, 1.0, 1.0. how many students in the survey said that math was their favorite subject? 42 81 120 123

Answers

The number of students in the survey said that math was their favorite subject is given by: Option D: 123

What is conditional relative frequency?

Conditional relative frequency is relative frequency conditional to some special characteristic.

For this case, we're specified the following table:

[tex]\begin{array}{cccc}&\text{Math}&\text{Other favorite subject}&\rm Total\\\text{Male}&0.35&0.65&1.0\\\text{Female}&0.45&0.55&1.0\\\rm Total &0.41&0.59&1.0 \end{array}[/tex]

It is given that:

the survey was given to 120 male students andthe survey was given to 180 female students

We have to find how many students in the survey said that math was their favorite subject.

From males, 0.35 out of 1 male said math was their favorite subject. (since total in male is 1, showing that the row of males got conditional relative frequency conditional to the gender male, and relative to the total count of males).

Thus, as out of 1, there was 0.35 supporter of math (from males), so from 120 male students, there were [tex]120\times 0.35 = 42[/tex] male students who had chosen math as their favorite subject.

Similarly, 0.45 per 1 female student chose their favorite subject as math.

Since there are 180 female students, therefore, total [tex]180\times 0.45 = 81[/tex] female students had chosen math as their favorite subject.

So, total 42+81=123 students had chosen math as their favorite subject.

Thus, the number of students in the survey said that math was their favorite subject is given by: Option D: 123

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Answer: D-123

Step-by-step explanation:

What is the equation of the directrix to the right of the center of = 1? express the answer in decimal format. x =

Answers

The equation of the directrix to the right of the center is equal to 2.8.

Given the following data:

(x - 1)²/9 - (y - 2)²/16 = 1.

How to determine the equation of the directrix?

Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:

x = h ± a²/√(a² + b²)

Where:

a² = 9.b² = 16.h = 1.

Substituting the given parameters into the standard equation, we have;

x = 1 ± a²/√(a² + b²)

x = 1 ± 9/√(9 + 16)

x = 1 ± 9/√25

x = 1 ± 9/5

x = 1 + 9/5

x = 1 + 1.8

x = 2.8.

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Answer: The answer is 2.8

Step-by-step explanation:

In △ABC, ∠B is a right angle, AB=30, and sec A=5/3. Find the value csc C in fraction and in decimal form.

Answers

Answer:

csc C  = 5/3 = 1. (6)

Step-by-step explanation:

Given:

∠B = 90° is a right angle

AB = 30

We know that:

sec A = 5/3 = 1/ cos A = 1/ ( adjacent side/hypothenuse) =

hypothenuse/ adjacent side to angle A

csc C = 1/ sin C = 1/ sinC = 1/ (opposite side /hypothenuse) =

hypothenuse/ opposite side to angle C

Note that :

adjacent side to angle A is the same as opposite side to angle C

Therefore sec A = csc C  = 5/3 ( fraction form) = 1.(6) (decimal form)

solve the system:
2x+6y=36
x+4y=20

Answers

Let's solve this problem step-by-step

Let's set:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

  [tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]

Answer: x = 12 and y = 2

Hope that helps!

I need help with problem 22

Answers

Answer:

6 art course and 7 writing coures

There are 14 girls and 16 boys in Ms. Cherry's class. What is the ratio of girls to students in simplest form?

Answers

Answer:

7:15

Step-by-step explanation:

Total Students = 14+16 = 30

14:30

Divide by 2 on Both Sides

7:15

Answer: 7 to 15 hope it helps pretty Shure it will

Step-by-step explanation: I took the quiz

Lauren has 12 boxes of rocks. There are 60 rocks total. How many rocks are in each box?

Answers

Answer:5

Step-by-step explanation: Divide 60 By 12

Answer:

the answer is 5 rocks.

Step-by-step explanation:

Sinice there are 12 boxes and has 60 rocks. So that means we will divide the two to get 5bwhich is in each box.

Scott plans to cut wood with a chainsaw that operates on a fuel mixture of oil and gasoline.
• Scott knows the ratio for the mixture is 16 fluid ounces of oil for every 5 gallons of gasoline.
• Scott will create a mixture of the oil and gasoline and then fill the fuel tank of the chainsaw.
• The fuel tank of the chainsaw has a capacity of 12 fluid ounces.
.A full tank of the mixture allows Scott to operate the chainsaw for 40 minutes.
Part A
Scott has only 2 gallons of gasoline for the oil and gasoline mixture. How many fluid ounces of oil will Scott need to
add to the 2 gallons of gasoline to get the proper ratio for the mixture? Enter your answer in the first response box.

Answers

Answer:

It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix

Please help me pretty please

Answers

Answer: D.

Step-by-step explanation:

The equation [tex]f(x) = (x-1)^{2} - 2[/tex] works only for option D. If x is 2, for example, the equation would look like this: [tex]f(2) = (2-1)^{2} - 2[/tex]. This equals [tex](1)^{2} - 2[/tex] which equals negative one. Therefore, when x is 2, y is -1. All of the graphs have the point (2, -1). We can still tell though that it is not A or B because there are spaces in between the points. If x = 2.2, the equation would not work for A or B because there is not a point with an x value of 2.2. This is different for both C and D. Δ

Answer C ends off early. There are endpoints to the figure. If x = 4, the equation would not work. This is because there is no point in answer C that has an x value of 4. On the other hand, question D does have a point with an x value of 4.

If x = 4, the equation looks like [tex]f(4) = (4-1)^{2} - 2[/tex].

We can simplify this to [tex]f(4) = (3)^{2} - 2[/tex]

and then [tex]f(4) = 7[/tex]

This means that when x is 4, y is 7. This is true for no graph but option D. Therefore the answer to this problem is D.

simplify: (2x-3)(5x+1)

Answers

Answer:

       [tex]\huge\boxed{\sf 10x^2-13x-3}[/tex]

Step-by-step explanation:

[tex]=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}[/tex]

Answer:
10x² - 13x - 3

Step-by-step explanation:
(2x - 3) (5x + 1)

Apply distributive property ,

= 2x(5x + 1) - 3(5x + 1)
= 10x² + 2x - 15x - 3
= 10x² - 13x - 3


__________
Hope it helps ⚜

A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?

Answers

The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.

Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have

Let y be the value of the car and x be the number of years. Then we have

[tex]\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000[/tex]

Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be

[tex]\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}[/tex]

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the ratio of angles in a triangle is 11:6:7. find the largest angle

Answers

Answer:

Step-by-step explanation:

82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data and The median of the upper half of the data is

Answers

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.

Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.

How many of his triangles are obtuse?

1
2
3
4

Answers

Based on the calculations, the number of Jamal's triangle that are obtuse are: C. 3.

How to determine an obtuse triangle?

In order to determine an obtuse triangle, we would apply Pythagorean theorem:

c² = a² + b²

Where:

c is the hypotenuse.a is the adjacent side.b is the opposite side.

For an obtuse triangle, the square of the hypotenuse is greater than the sum of the square of both the adjacent and opposite side:

c² > a² + b²

For Triangle 1, we have:

7² > 6² + 3²

49 > 36 + 9

49 > 45 (obtuse triangle).

For Triangle 2, we have:

8² > 6² + 3²

64 > 36 + 9

64 > 45 (obtuse triangle).

For Triangle 3, we have:

8² > 7² + 3²

64 > 49 + 9

64 > 58 (obtuse triangle).

For Triangle 4, we have:

8² > 6² + 7²

64 > 36 + 49

64 < 85 (not obtuse triangle).

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Answer: the answer is C 3.

Step-by-step explanation: it show below.

Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.

Answers

Answer:

Lateral surface: 135.34

surface area: 185.61

Step-by-step explanation:

Lateral surface formula: AL=πrh2+r2

surface area formula: A=πr(r+h2+r2)

helpp meeee pleaseeee

Answers

Answer:

x≈49.457

y≈40.543

using trigonometry

Step-by-step explanation:

you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio

100 points. Send notes for volume of prisms and cylinders - gradpoint

Answers

Answer:

V = Bh = πr2h

Step-by-step explanation:

Graphs of Function,
Write in interval notation the areas of increase and decrease.
I don't need all of them answered maybe 1 or 2? I want to do some myself.
Thank you for any help on this.

Answers

Answer:

A function is increasing when the gradient is positive

A function is decreasing when the gradient is negative

Question 7

If you draw a tangent to the curve in the interval x < -2 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve in the interval x > -2 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -2 will be zero.

The function is increasing when x < -2

[tex](- \infty,-2)[/tex]

The function is decreasing when x > -2

[tex](-2, \infty)[/tex]

Additional information

We can actually determine the intervals where the function is increasing and decreasing by differentiating the function.

The equation of this graph is:

[tex]f(x)=-2x^2-8x-8[/tex]

[tex]\implies f'(x)=-4x-8[/tex]

The function is increasing when [tex]f'(x) > 0[/tex]

[tex]\implies -4x-8 > 0[/tex]

[tex]\implies -4x > 8[/tex]

[tex]\implies x < -2[/tex]

The function is decreasing when [tex]f'(x) < 0[/tex]

[tex]\implies -4x-8 < 0[/tex]

[tex]\implies -4x < 8[/tex]

[tex]\implies x > -2[/tex]

This concurs with the observations made from the graph.

Question 8

This is a straight line graph. The gradient is negative, so:

The function is decreasing for all real values of x

[tex](- \infty,+ \infty)[/tex]

But if they want the interval for the grid only, it would be -4 ≤ x ≤ 1

[tex][-4,1][/tex]

Question 9

If you draw a tangent to the curve in the interval x < -1 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve in the interval x > -1 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -1 will be zero.

The function is decreasing when x < -1

[tex](- \infty,-1)[/tex]

The function is increasing when x > -1

[tex](-1, \infty)[/tex]

The selling price of a sweater is the cost plus the markup minus the discount. Write an expression to show the selling price s of a sweater. Use c for cost, m for markup, and d for discount.

Answers

Answer:

Step-by-step explanation:

Selling price = Cost price + Marked price - discount

            s   =  c + m - d

What is the mistake NEED ANSWER ASAP​

Answers

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

[tex]x^2 - 9x + 8 = 16[/tex]

Subtract 16 to both sides making it equal to 0.

[tex]x^2 - 9x - 8 = 0[/tex]

Using Quadratic Formula to Solve for x.

which graph shows the solution set for -5/2x-3<_2?

Answers

solving the equation given to us first:

-5x/2 = 5/1 ( ignore the ≤ symbol for now and replace with =) and cross multiply

you will get

-5x = 10

x = -10/5 ( minus doesn't stay in denominator so so we take up to numerator )

x = -2

so x ≤ -2

NOTE: if we have ≤ we shade the dot but if we have just < or we don't shade the dot.

soooo

x ≤ -2 will be going backwards

so the answer is option (C).

Hope this helps.

Good luck.

A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?

Answers

The value after 14 year is 8750 dollar

which shows a right triangle

Answers

Answer:

2nd one - blue triangle

Step-by-step explanation:

A right angle triangle is a triangle that has a angle of 90°

Therefore our answer is second one - blue triangle.

Hope this helps and branliest please

Answer:

2nd triangle.

Step-by-step explanation:

For a triangle to be considered as a eight triangle it should have one angle which is equal to 90° in measure.

Here, the second triangle has 90° & hence is a right triangle.

________

Hope it helps ⚜

i’ll give brainlist

Answers

Answer:

option B

option C

4:40pm

2:45pm

option d

3:30

Step-by-step explanation:

please consider as brainlest que.

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