1. Since 1963, the State of California has used the following rules for standard
car license plates
• Every license plate has the format ###AAA#, where # represents a numeral
0-9 and A represents a letter A-Z.
• The first and third letter positions cannot be I, O, or Q (to avoid
confusion with mumbers 1, 0).
How many license plates can the State of California issue that follow
these rules?

Answers

Answer 1

Answer:

137,540,000

Step-by-step explanation:

###AAA#

There are 10 digits from 0 to 9.

There are 26 letters from A to Z.

We apply the counting principle. We see the number of possible digits or letters than can be placed in each position, and then we multiply them together.

There are 10 digits for the first position.

###AAA#

10

There are 10 digits for the second position.

###AAA#

10 * 10

There are 10 digits for the third position.

###AAA#

10 * 10 * 10

There are 23 letters for the fourth position.

###AAA#

10 * 10 * 10 * 23

There are 26 letters for the fifth position.

###AAA#

10 * 10 * 10 * 23 * 26

There are 23 letters for the sixth position.

###AAA#

10 * 10 * 10 * 23 * 26 * 23

There are 10 digits for the seventh position.

###AAA#

10 * 10 * 10 * 23 * 26 * 23 * 10

Now we multiply all the numbers together.

10 * 10 * 10 * 23 * 26 * 23 * 10 = 137,540,000


Related Questions

Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.

Answers

Answer:

Step-by-step explanation:

700.5

Joe ate as much pieces of halloween candy as Ed. Together they ate 48 pieces!

Answers

Answer:

they both ate 24 pieces!

Step-by-step explanation:

if joe and ed ate the same amount of candy, 48÷2= 24

24+24=48

Nicole purchased a package of 5 coconut cookies. The total weight of the cookies was 0.5 ounces. How many did each cookie weigh

Answers

Answer:

0.1 ounce

Step-by-step explanation:

5  cookies = 0.5 ounces

1 cookie = 0.5 / 5 = 0.1 ounce

Find the Highest Common Factor of : 27, 36, and 54.​

Answers

Answer: 9

Step-by-step explanation:

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 9.

Hope this helped ! :)

Which of the following inequalities is equivalent to – 9 <4(x - 3)?

Answers

Answer:

x>3/4

Step-by-step explanation:

what is the answer to 4x+7=-2+4x

Answers

0=(-9)

Step-by-step explanation:

4x + 7 = -2 + 4x

4x + 7 = 4x -2

subtract 7 from both sides of the equation.

simplify your answer.

subtract 4x from both sides of the equation.

simplify your answer again.

4x + 7 = 4x -2

___-7 = 4x -7

4x __ = 4x -9

__4x = 4x -9

-4x = -4x -9

__0 = -9

the input is a contradiction: it has no solutions.

Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.

Answers

Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]

The total number of students is:

[tex]n = 12[/tex]

The data that represents  [tex]2\frac{1}{2}[/tex] or more is:

[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]

The frequency of this is 5

The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7

This means that less than half spend [tex]2\frac{1}{2}[/tex] or more

and more than half spend [tex]2\frac{1}{2}[/tex] or more

Hence, Daniel is incorrect. Liz is correct

what is the solution set for the equation 2x^2-8x-42=0

Answers

Answer:

x=−3 or x=7

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+3)(x−7)=0

Step 2: Set factors equal to 0.

x+3=0 or x−7=0

x=−3 or x=7

Answer:

(-3,7)

Step-by-step explanation:

What is the surface area of the rectangle below?

Answers

Step-by-step explanation:

First, we must take into account that there will be 3 pairs of sides that are the same. Starting at the front, we have 9 * 12. Since the rectangular prism is measured in units squared, this side is 108 units squared. The opposite side is the same. Our current total is 216 units. The side is 15 * 9. This is 135 units, multiplied by 2 since it has the other side, to get 270 units. Our current total is 486 units, so it already can't be A. The top and bottom sides are 15 * 12 units, giving us 180 on each, 360 in total. 360 plus 486 = 846 units squared.

HELP ME!! I WILL MARK BRAINLIEST!!


Ez brainliest

Answers

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

6. A study recorded the number of baskets scored each game by four basketball players. The MAD from this data is shown below. Which basketball player is the most predictable regarding his/her number of baskets per game?


MAD. Basketball Player Donelle. 1.4
Mila. 3.8
Aracely. 2.5
Corey. 1.2

A. Donelle

B. Mila

C. Aracely

D. Corey​

Answers

Answer:

D. Corey!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Each year, Malcolm earns 120 hours of vacation time at his job. There are 52 weeks in a year.
What is the approximate number of hours of vacation time that Malcolm earns each week?

Answers

Answer:

2.3 hours per week

Step-by-step explanation:

Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 8?

Answers

The probability that the sum of Michelle's rolls is 4 is 0.083
∴ P(A)=0.083
Step-by-step explanation:
Given that Michelle is rolling two six-sided dice, numbered one through six.
To find the probability that the sum of her rolls is 4:

∴ n(s)=36
Let P(A) be the probability that the sum of her rolls is 4
Then the possible rolls with sums of 4 can be written as

n(A)=3
The probability that the sum of her rolls is 4 is given by



=0.083
∴ P(A)=0.083
∴ the probability that the sum of Michelle's rolls is 4 is 0.083

-please give brainliest if correct!

Sally has a car that accelerates at 5 m/s^2. If the car has a mass of 1000 kg, how much force does the car produce?
F=______
m=______
a=______

Answers

Answer:

You have to use the equation F=ma.

F: the force an object has (in this case the unknown)

M: the mass an object has (in this case 1000kg)

A: the acceleration an object has (in this case 5m/s^2)

when you plug in everything you should get F=5000N

Answer:

The answer is 5000 N (Newtons).

Explanation:

F=M*A

F=1000 kilograms * 5 m/s squared

F=5000 Newtons

M {-5,2} and N {5,2} are the endpoints of the segment MN on the coordinate plane what is the length of MN?

Answers

Answer:

Length MN = 10 unit

Step-by-step explanation:

Given: M {-5,2} and N {5,2} are the endpoints of the segment MN.

Length of line segment having co-ordinates as

[tex](x_1, y_1) and (x_2, y_2)[/tex]

is calculated as

[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So plugging the values in above equation we get

[tex]D =\sqrt{(5+5)^2+(2-2)^2}[/tex]

D = 10 unit

Therefore, Length MN = 10 unit

Round 74,606.4 to the nearest whole number

Answers

Answer:

75000

Step-by-step explanation:


75000 is the answer

I WILL GIVE BRAINIEST!! TO THE CORRECT ANSWER TO FILL IN THIS BOX I ONLY GET THE OPTION WITH A COUPLE OF ANSWERS!

Answers

Answer:

Step-by-step explanation:

The third one is

(10^3)^4 and equals 10^12

the 4th one is      (10*10*10*10)(10*10*10*10) or 10^8

the last one is (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10)

or 10^88

71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. The variance of this data set is?

Answers

Answer:

636.41818

Step-by-step explanation:

^2=∑=1(−⎯⎯⎯)2−1

^2=−1

^2=6364.181811−1

^2=6364.181810

^2=636.41818

I hope this helps :)

Find X ( please explain how)​

Answers

Answer:

90

Step-by-step explanation:

(5-2)x180= 540 formula to find the sum of interior angles of a polygon

180-70 = 110 lower right angle

180 -60 = 130 lower left angle

110+130+120+90= 450 all known angles sum

540-450 = 90 total minus known gives you x

In the diagram, AP is a tangent and PBC is a secant in a circle O. If PC = 12 and BC = 9, what is AP?

Answers

Answer:

6

Step-by-step explanation:

AP^2 = PC * PB

We have PC and BC. We need PB.

PC = 12

BC = 9

PB + BC = PC

PB + 9 = 12

PB = 3

AP^2 = 12 * 3

AP^2 = 36

AP = 6

Answer: 6

Answer:

Hey!

AP will be 6cm.

Step-by-step explanation:-

to solve this, the equation  PB X PC = [tex]AP^{2}[/tex]  can be used

In the ques, its given that PC= 12cm and BC = 9.

To solve this, WE NEED TO FIND PB, SO:-

PB + BC = PC

PB + 9 = 12

PB = 3cm.

Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]

[tex]AP^{2}[/tex] = PB x PC

[tex]AP^{2}[/tex] = 3 X 12

[tex]AP^{2}[/tex] = 36

AP = [tex]\sqrt{36}[/tex]

AP = 6cm.


If f(x) = 4x - 6, what is f(6)?
A. 4
B. 32
C. 3
D. 18

Answers

your answer is D you’re welcome!

Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.

a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.

b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.

c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Answers

Answer:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Which rule is correct for translation 2 units right and 6 units down

Answers

Answer:

(x + 2, y - 6)

Step-by-step explanation:

When you go right or up it is in the positive.

When you go left or down it is in the negatives.

Answer:

[see below]

Step-by-step explanation:

Two units to the right is adding 2 together to the x value.

6 units down is subtracting 6 from the y-value.

The rule should be:

[tex](x,y)\rightarrow(x+2,y-6)[/tex]

Hope this helps.

find the area of the circle. ​

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5


A hair salon uses 4 bottles of shampoo for every 3 bottles of conditioner.
The coordinate plane shows a graph of equivalent ratios.
Use the graph to find the number of bottles of conditioner that are used when 16 bottles of shampoo are used.
Answers
A 3 bottles of conditioner
B 6 bottles of conditioner
C 12 bottles of conditioner
D 20 bottles of conditioner

Answers

Answer:

I honestly think it is C.

Step-by-step explanation:

Since "4 bottles of shampoo for every 3 bottles of conditioner" is (4,3), I think the 16 is (16,12) on the graph. It might be worng, might be right. Just go for C.

Is 301 in the sequence below?
-9, -5,-1,3,7,...

Answers

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

301 doesn't belong to the sequence -9, -5,-1,3,7,...

What is A.P sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .

Hence, the formula to find the nth term is:

[tex]a_{n}[/tex] = a + (n – 1) × d.

where,

a = first term

d = common difference

n = number of terms

[tex]a_{n}[/tex] =  nth term

According to the question

Sequence  : -9, -5,-1,3,7,...

First term (a)= -9

common difference (d)=  -5 - (-9)

                                 =   4

[tex]a_{n}[/tex]   = 301

using the formula of nth term

[tex]a_{n}[/tex]  = a + (n-1)d

Substituting the value

301 = -9 + (n-1) 4

310 = (n-1) 4

77.5 = (n-1)

n = 78.5

as n always to be the whole number .

Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...

To know more about A.P sequence here:

https://brainly.com/question/24205483

#SPJ3

PLEASE IM IN CLASS RIGHT NOWWWW

Answers

Answer:

102

Step-by-step explanation:

Tom is told by his doctor that he needs to lose 15 pounds if Tom now it's 285 pounds then by what percentage should Tom's week decrease

Answers

Answer:

the percentage is 5.56%

Step-by-step explanation:

The computation of the percentage that the tom should decrease is shown below:

As Doctor said tom to reduce 15 pounds

As of now the tom has 285 pounds

So after considering the 15 pounds, it would be

= 285 - 15

= 270 pounds

Now the percentage that should be considered is

= (285 - 270) ÷ (270)

= 5.56%

Hence, the percentage is 5.56%

20 mi
12 mi
b
What is the length of the missing leg?

Answers

Answer:

13

Step-by-step explanation:

thats my answer byusing calculato

HELP PLEASE PLEASE!
18.) Savings: You have decided to put 12% of your weekly paycheck into a
savings account. You made $85.50 las week. How much did you put into
the savings account? *
$12.26
$8.55
$10.26
Other:

Answers

Answer:

$10.26

Step-by-step explanation:

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

Answer:

712.5

Step-by-step explanation:

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