The transportation department predicts that about 800,000 cars will be registered in a certain state by year 2012. Their license plates are made using and two letters followed by and three digits from 0 to 9. Will there be enough possible arrangements?

Answers

Answer 1

Answer:

There won't be enough arrangement

Step-by-step explanation:

Given

[tex]Letters = 2[/tex]

[tex]Digits= 3[/tex]

[tex]Cars = 800000[/tex]

Required

Determine if the possible arrangement will be enough

The 2 letters can be selected from any of the 26 alphabets without restriction.

So, the selection of letters is:

[tex]Letters = 26 * 26[/tex]

The 3 digits can be selected from any of the 10 digits without restriction.

So, the selection of digits is:

[tex]Digits = 10*10*10[/tex]

The total arrangement is:

[tex]Total = Letters * Digits[/tex]

[tex]Total = 26*26*10*10*10[/tex]

[tex]Total = 676000[/tex]

By comparison:

[tex]Total < Cars[/tex]

i.e.

[tex]676000 < 800000[/tex]

Hence, the arrangement will not be enough


Related Questions

40 POINTS/BRAINLIEST IF RIGHT
permutations of word MADISON
-a problem set-

Answers

Answer:

the correct answer is c

Step-by-step explanation:

the correct answer is c

find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)​

Answers

9/2 Sq. units is a Right answer...

Answer:

4.5 units²

Step-by-step explanation:

Given ΔABC with vertices:

A(1,4), B(1,7), C(4,7)​

We observe that

AB is vertical segment with length:

7 - 4 = 3 units

BC is horizontal segment with length:

4 - 1 = 3 units

The area:

A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²

There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?

Answers

Answer:

35

Step-by-step explanation:

sdfghjkolkgdsdfghjkl

The possible number of the group the movies will be 840.

What are permutations and combinations?

Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.

Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.

The combinations will be calculated as:-

Combination = ⁷C₄

Combination = ( 7 x 6 x 5 x 4 )

Combination = 840

To know more about permutation and combination follow

https://brainly.com/question/28065038

#SPJ2

What are the x-intercepts of the graph of y = x2 + 7x + 10?

Answers

Answer: x-int : (-2,0), (-5,0)

y-int: (0,10)

Step-by-step explanation:

ILL GIVE BRANLIEST HELP ASAP I HAVE 5 MINUTES

Answers

Answer:

480 inches cubed

Step-by-step explanation:

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
Enter your equation in the space provided. Enter only your equation.

Answers

Answer:

y =  3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 10 )

m = [tex]\frac{10-4}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

The y- intercept c = 4

y = 3x + 4 ← equation of line

please help!! I'm really stuck on this

Answers

Answer:

V = 5cm * 2 cm * 8 cm

Step-by-step explanation:

Volume is the length times the width times the height

V = l*w*h

V = 5cm * 2 cm * 8 cm

Jensen goes to the store with $4. He buys 3 pencils for $0.70 each and
some erasers. Each eraser costs $0.50. Enter the maximum number of
erasers he can buy.

Answers

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Lincoln is throwing a pizza party. He has 77 pounds of cheese available and he needs
​1/2 pound of cheese to make each pizza. How many pizzas can he make? plss help asap (multiply ig)

Answers

Answer: 154

Step-by-step explanation: trust

find two rational number between 5/7 and 11/12

Answers

We have

5/7 = 60/84

11/12 = 77/84

Let the rational numbers to be searched be x, then:

60/84 < x < 77/84

-> x belongs to {61/84; 62/84; ....... 76/84}

please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!

Answers

Answer:

slope of line is 3/5

Step-by-step explanation:

slope is the ratio of the change in the y-values over the change in the x-values

in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5

if you go from pt B to pt C, you rise by 6 and go to the right by 10

however, 6/10 can be reduced to 3/5

if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)

change in y-values is 5-2 or 3

change in x-values is 5-0 or 5

(5-2)/(5-0) = 3/5

What about for basketball?

Answers

[tex]\huge\mathsf{\red{\underline{\underline{Answer}}}}[/tex]

[tex]{\green{\dashrightarrow}}[/tex]Players score points by shooting the ball through the hoop. Basketball has become popular for a number of reasons: Basketball is fun to play: Basketball has a very fast and exciting pace of play. Also, each player on the court gets to play both offense and defense and the roles of each player are only loosely defined.

Basketball is a team sport in which two teams, most commonly of five players each, opposing one another on a rectangular court, compete with the primary objective of shooting a basketball through the defender's hoop while preventing the opposing team from shooting through their own hoop.

how to convert 2km into SI unit​

Answers

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

What is another expression to show 9/2

Answers

9 over 2, or 9/2 would also be 9 divided by 2

Answer:

9 ÷ 2

Step-by-step explanation:

or draw that small house thing over the 9 an place 2 to the left of it.

Can someone help me with this question please??

Answers

Answer:

[tex]x = \frac{16}{3}[/tex]

Step-by-step explanation:

[tex]3 \times x = 8 \times 2\\3x = 16\\x = \frac{16}{3}[/tex]

The equation of a line is y= 4x - 1 and the point (3, p) lies on this line. Determine the value of P

Answers

Answer: 11

Step-by-step explanation:

Given

The equation of the line [tex]y=4x-1[/tex] passes through the point [tex](3,p)[/tex]

So, point must satisfies the line i.e.

[tex]\Rightarrow p=4(3)-1\\\Rightarrow p=12-1\\\Rightarrow p=11[/tex]

Therefore, the value of p is 11.

Professor Rosencrantz flips a fair coin once. Professor Guildenstern flips a fair coin three times. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern

Answers

Answer:

9/13 = 0.6923

Step-by-step explanation:

We start by defining

A as event that head was flipped

B1 = event that coin is biased

B2 = event that it is unbiased

P(B1) = 3/5

P(B2) = 2/5

P(A|B1) = 3/4

P(A|B2) = 2/4 = 1/2

When we solve this using bayes theorem we have to find

p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)

= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5

= 0.45/0.45+0.2

= 0.45/0.65

= 0.6923

please brainliest

If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?

Answers

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

Answers

Answer:

x = 2

Step-by-step explanation:

The "axis of symmetry" of a quadratic graph is the vertical line through the vertex.  Identifying the vertex in the given diagram as (2, 6), we can immediately write the axis of symmetry as x = 2.

I WILL MARK BRAINLEST IF YOU HELP ME

Answers

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.

2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.

Answers

Answer:

Each cupcake cost $2.50 and each brownie cost $2.00

Step-by-step explanation:

Let x represent the price of each cupcake and let y represent the price of each brownie.

Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:

x + y = 4.50                (1)

Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:

3x + y = 9.50              (2)

To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:

2x = 5

x = $2.50

Put x = $2.50 in equation (1):

2.50 + y = 4.50

y = $2.00

Therefore each cupcake cost $2.50 and each brownie cost $2.00

2) Edwin A bought a total of 15 student and non-student tickets worth $223.50. The student tickets cost $12.50 each and the non-student tickets cost $18.50 each. How many of each ticket did he buy?

Answers

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9

A rectangular room is 9 m long and 6 m broad. Find the number of
pieces of carpet each of 4 m long and 1.5 m wide to cover the floor of
the room. If the rate of cost of carpet is Rs 110 per metre, find the cost
of carpeting the floor.​

Answers

Answer:

880

Step-by-step explanation:

Answer:

Rs. 3,960 is the cost of carpeting.

13.4 Area of Polygons
S cm
5. Find the area of the polygon.
5 cm
8 cm
-square centimeters

Answers

Área: 200

Ex: u can find the area of irregular polygon by adding :w so in this case u need to 5x5x8 so that’s why it’s 200 :d

Multiply: 65x600
Please answer my question please

Answers

Answer:

39000

Step-by-step explanation:

Write the function tan([tex]\frac{3\pi }{4} -x[/tex]) as an expression involving functions of x only

Answers

Step-by-step explanation:

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]

Since tan(3pi/4) = -1

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]

[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]

Please help fast I’d really appreciate it

Answers

Step-by-step explanation:

4) lower, greater

5) The precision of the instrument would be 0.1 cm

What is the diameter of a sphere with a volume of 334 cm", to the nearest tenth of a
centimeter?

Answers

Answer:

8.6cm

Step-by-step explanation:

V = 4/3 pi r^3 = 334, solve for r = 4.30

double for diameter = 8.61

Step-by-step explanation:

you can see there

just click the photo

The cost of buying salad from a salad bar is at least $4.50 per pound. Which inequality represents the price per pound of salad?
x ≥ 4.50
x = 4.50
x < 4.50
x > 4.50

Answers

the cost of buying salad per pound) is more than or equal to $4.50
Step-by-step explanation:
We know from the problem that the salad is going to cost at least $4.50 per pound. Therefore, it is entirely possible for the cost to exceed $4.50, but it cannot be lower than $4.50 because then it would not be equal to $4.50.
So, there would be a greater-than sign pointing toward the s (which I seemingly cannot depict on here for some reason...)

Answer:  x ≥ 4.50

Because the cost is at least $4.50 per pound


2. What is the median (measure of center)
number of TVs in Mr. Zimmerman's Class?
type here

Answers

Answer:

3

Step-by-step explanation:

Other Questions
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