Suppose a license plate must contain 3 letters followed by 4 digits. Letters and digits can be repeated.
How many different license plates are possible that end with a 5 as the last digit?

A. 23,400
B. 1,757,600
C. 8,788,000
D. 17,576,000

Answers

Answer 1

The number of different license plates that end with a 5 as the last digit is given as follows:

D. 17,576,000

What is the Fundamental Counting Theorem?

The Fundamental Counting Theorem states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For this problem, we have that the parameters are given as follows:

For each letter, there are 26 outcomes.For each of the first three digits, there are ten outcomds.For the last digit, there is only one outcome, which is of 5.

Hence the total number of combinations is given as follows:

N = 26³ x 10³

N = 17,576,000

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

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Related Questions

Select all expressions equivalent to 6x- - 24.

Answers

Answer:

the answer should/could be 6(x-4) & 3(2x-8)

Answer:

6(x - 4) & 3(2x - 8) is the answer

Step-by-step explanation:

6(x - 4) = 6x - 24

2(3x - 24) = 6x - 48

3(2x - 8) = 6x - 24

3(3x - 21) = 9x - 63

(this is 12 year old math)
Please help I don't understand.​

Answers

9514 1404 393

Answer:

  $465

Step-by-step explanation:

The problem statement tells you h represents the number of hours, and the number of hours is 7.

It also tells you f represents the number of fixtures, and the number of fixtures is 9.

And, the problem statement tells you the charge is 15h+40f, which is 15 times the number of hours plus 40 times the number of fixtures. Then the charges are ...

  15·7 +40·9 = 105 +360 = 465

Ben Frank charges $465 for the work.

Answer:

if it wants an equation, 105h+360f but if its all together then its 465$

Step-by-step explanation:

15x7=105h

40x9=360f

Which of these statements are correct about a line segment with a length of 12 units in a coordinate plane? Select all that apply. If it is rotated 270° about the origin, its length will still be 12 units. If it is rotated 90° about the origin, its length will no longer be 12 units. If it is reflected across the line y = –x, its length will no longer be 12 units. If it is translated 18 units to the right, its length will no longer be 12 units. If it is translated 15 units up, its length will still be 12 units. If it is reflected across the y–axis, its length will still be 12 units.

Answers

Answer:

yo my fault og what am i looking at i not good at math

Answer:

Sum of interior angles in triangles there are four angles; they add up to 360°

Step-by-step explanation:

C = corner/complementary;simply draw a line on the c so that it becomes 90.

S = straight line/supplementary; Take the su, draw a 1 next to the s, put a slash through the s to make it look like an 8,

A new pain reliever is advertised as being 97%

effective. To 3 decimal places, what is the

probability that the pain reliever will be effective

in 12 independent trials?

A. 0.116

B. 0.694

C. 0.970

D. 0.847

Answers

Answer:

B. 0.694

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the pain reliever is advertised as being 97%  effective, for it to be effective in 12 independent trials

= (97%) ^ 12

= 0.693842361

The is approximately 0.694 to 3 decimal places

Answer:

B. 0.694

Step-by-step explanation:

Hope this helps

A swimmer is training for a upcoming meet he swims 10 laps the first day each day he increases the number of laps he swims by 5 which best describes the function

Answers

10+5=15

He swam 15 laps the second day

what is an indulgence?​

Answers

Answer:

In the teaching of the Catholic Church, an indulgence is "a way to reduce the amount of punishment one has to undergo for sins".

Answer:

In the teaching of the Catholic Church, an indulgence is "a way to reduce the amount of punishment one has to undergo for sins"

Step-by-step explanation:

Indulgence is the action or fact of indulging. (in the Roman Catholic Church) a grant by the Pope of remission of the temporal punishment in purgatory still due for sins after absolution. The unrestricted sale of indulgences by pardoners was a widespread abuse during the later Middle Ages.

Indulgence sentence example. The indulgence accentuated the division between those who accepted and those who rejected it. German chocolates are my only indulgence . I went to a party last night, and there out of five ladies three were Roman Catholics and had the Pope's indulgence for doing woolwork on Sundays.

If 5a + 3b = 19 and 4c + 2d = 14 where a, b, c, and d are whole numbers greater than zero, and where a

Answers

Answer:

a=2

b=3

c=3

d=1

I hope it helped u

i dont get this please help!

Answers

1. Divide it into a triangle and a rectangle
2. To solve the area of the rectangle which is (length times width) do 2x9 = 18
3. To solve the area of the triangle which is (length times width divided by 2) do 2x4/2 =4
4. Area = 18 + 4, 22 square units

I need help with this math problem

Answers

Answer:

tui kobic tor hada kobic furi

Which of the following best describes the solution to the equation below?
28 + 6x = 9x

A.
exactly one real solution,
B.
infinite real solutions
C.
no real solutions
D.
exactly one real solution,

Answers

Answer:

Option A or D

Step-by-step explanation:

This is because only one variable is their which has only one exact real solution to satisfactory.

Answer:

D. exactly one real solution

Step-by-step explanation:

heres my answer hopes it helps :)

Help please, I don’t understand I tried everything.

Answers

Answer:

x=79

y=22.

............

Please help I need help!!

Answers

Answer:

g x/ x=32

Step-by-step explanation:

Helloooooooooooooo

Which system of iniquities has no solution?

Answers

Answer:

its A i think\

Step-by-step explanation:

Josh I was just kidding about

HELP IMMA DIE
find the inverse for each relation {(-5,1),(-5,-1)(-5,8)}
a. (8,-5) (1,-5) (-5.8)
b. (-5,1) (-5,-1) (-5,8)
c. (-1,5), (1.-5) (8,5)
d. (1,-5) (-1,-5), (8,-5)

Answers

Answer:

(5,-1)  (5,1) (5,-8)

Step-by-step explanation:

2) Dave borrowed $475 from his credit union at a rate of 5.5% for 2 years. How much will he have to pay them back? *

Answers

Answer

$55

Step-by-step explanation:

Finance charge = Interest + Other costs

= $50 + 5

= $55

Can someone tell me if I'm right or give me the answer? plzzz. I'm giving 100 points so... just answer quick. 0_0

Answers

Answer:

Yes, I think you have the answer correct!

Step-by-step explanation:

I hope you make a good grade!

PLEASE HELP MEEEEEEEE

Answers

Answer:

The moon equals 7

and the stars equal 4

Step-by-step explanation:

Equation 1:

(substitute the symbols for the numbers)

7 + 1 = 4 + 4 (<< This is correct, both sides equal 8)

Equation 2:

(again, substitute the symbols)

7 = 3 + 4

That is correct.

Hope this helped! Please give Brainiest!

(Asher)

Will mark brainliest

Answers

Answer:

A and C are the right answers

Step-by-step explanation:

Top row only

3 out of the 12 squares are shaded in therefore 3/12 which you can simplify into 1/4

Left column only

3 out of the 6 squares are shaded in therefore 3/6 which you can simplify into 1/2

I agree I think the correct answers are A and C

Jada completed her homework in 40 minutes. It took Andre 175% of Jada's time to complete the same homework. a) Who took longer to complete their homework? b) How long did it take Andre to complete his homework? Show your thinking on the tape diagram or another model.

add explanation too please

Answers

Answer: I think it took Andre 70 minutes

Step-by-step explanation:

Answer:

A.) Andre B.) 70 min

Step-by-step explanation:

A.) the key words are that it took andre 175% of Jada's time

B.)just take Jadars time 40 and multiply it by 175% or 1.75 as for the digram show Jadars as 100% and Andres as an extra 175% sorry i cant realy draw one right now

How did the artists of the Harlem Renaissance try to combat stereotypes and racism?

Answers

Answer:

I answered your other question but I do not know the answer to this one, sorry

Step-by-step explanation:

look up Harlem Renaissance website for information

A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The center of the bridge will pass through (0,2). What is the equation of the line representing the bridge?​

Answers

Answer:   y = (-1/2)x + 2

This is the same as y = -0.5x+2

==========================================================

Explanation:

Refer to the diagram below.

The blue line is the graph of y = 2x+8, which is the left bank of the river.

For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.

The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.

Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.

So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.

This is the same as y = -0.5x + 2 since -1/2 = -0.5

Una persona hace un trabajo en 6 horas, una segunda hace el trabajo en 8 horas y una tercera hace el trabajo en 10 horas. Si las tres personas trabajan al mismo tiempo ¿Cuánto tiempo durarán haciendo el trabajo?

a) 1 16/47 horas.

b) 2 26/47 horas.

c) 3 1/47 horas.

d) 4 36/47 horas.

Answers

Answer:

b) [tex]2\dfrac{26}{47}\ \text{horas}[/tex]

Step-by-step explanation:

Tiempo necesario para completar el trabajo en primera persona = 6 horas

Trabajo hecho en 1 hora = [tex]\dfrac{1}{6}[/tex]

Tiempo necesario para completar el trabajo por segunda persona = 8 horas

Trabajo hecho en 1 hora = [tex]\dfrac{1}{8}[/tex]

Tiempo necesario para completar el trabajo por tercera persona = 10 horas

Trabajo hecho en 1 hora = [tex]\dfrac{1}{10}[/tex]

El tiempo necesario para completar el trabajo juntos viene dado por

[tex]\dfrac{1}{\dfrac{1}{6}+\dfrac{1}{8}+\dfrac{1}{10}}=\dfrac{1}{\dfrac{47}{120}}\\ =\dfrac{120}{47}=2\dfrac{26}{47}\ \text{horas}[/tex]

El tiempo necesario para completar el trabajo juntos es [tex]2\dfrac{26}{47}\ \text{horas}[/tex].

tell me w what is the book and notebook​

Answers

Answer:

a book is something you read a notebook is something you write in.

Step-by-step explanation:

A book is what you read out of and a notebook is what you write in

Jackie has one sister. Jackie's sister is 4 years older than her. The girls' ages add up to 28. Write an equation to solve for Jackie's age. *

Answers

Answer:

Jackie's age = 12 years and Her sister's age = 16 years

Step-by-step explanation:

Let the age of Jackie be x.

Her sister's age = (x+4)

The sum of ages = 28

ATQ,

x+x+4 = 28

2x+4 = 28

2x = 24

x = 12

Jackie's age = 12 years

Her sister's age = (12+4) = 16 years

Hence, this is the requiredsolution.

Im confused I need a bit of help

Answers

Answer:

A) 6x

Step-by-step explanation:

4x + 3x = 7x

7x - 1x (or just x) = 6x

hope this helped :)

I’ll give brainliest !!! Pls help!

Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father's. The volume of the Pyramid of Khafre is about
2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.

Answers

Answer:

S = √3*2,115,072/ 136 =216

Step-by-step explanation:

Solve for x:

x =?
is it;
45?
30?
22.5?

Answers

Answer:

x+3x=90

90/4= 22.5

x-22.5

Answer:

22.5

Step-by-step explanation:

its a 90 degree angle

90=3x+x

90=4x

90/4=x

x=22.5

The end of a minute hand on a clock is 5.5 inches from the center. How far will the minute hand travel over three days

Answers

Answer:

Step-by-step explanation:

Given :

Radius, r = Length of hour hand = 5.5 inches

A complete cycle is traveled in 24 hours ;

C = 2πr

C = 2 * π * 5.5 = 34.557519 inches

In 3 days : It will travel 3 full cycles

3 * C = 3 * 34.557519 inches

= 103.672557 inches

Krutika rolls a fair dice 18 times.
How many times would Krutika expect to roll a four?

Answers

Answer:

every 6 rolls

Step-by-step explanation:

What number is 1/2 of 4

Answers

Answer:

1/2 of four is 2

Step-by-step explanation:

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