Suppose that in a certain state, all automobile license plates have three uppercase letters followed by four digits. Use the method illustrated in Example 9.2.2 to answer the following questions. (a) How many different license plates are possible? To answer this question, think of creating a license plate as a 6-step process, where steps 1-3 are to choose the uppercase letters to put in positions 1-3 and the remaining steps are to choose the digits to put in the remaining positions. There are 17576 ways to perform steps 1-3, and there are 10000 ways to perform the remaining steps. Thus, the number of license plates is 175760000 (b) How many license plates could begin with A and end in 0? and the number of ways to place the 0 in the In this case, the number of ways to place the A in Step 1 is 1 final step is 1 . Thus, the answer is 676000 (c) How many license plates could begin with BWC? In this case, the number of ways to perform steps 1-3 is ___ Thus, the answer is ___(d) How many license plates are possible in which all the letters and digits are distinct? (e) How many license plates could begin with AB and have all letters and digits distinct? Enter an exact number

Answers

Answer 1

the total number of license plate is 17576000 and In this the number ways to place 'A' in step 1 is = '1'1, and the number of steps '0' in final steps id '1' thus the total answer is 67600

What is permutation and combination?

In mathematics, there are two alternative methods for dividing up a collection of items into subsets: combinations and permutations. Any order may be used by a combination to list the subset's elements. An ordered list of a subset's components is called a permutation.

There are [tex]26^3[/tex] = 17576, ways to perform step 1-3, and there are [tex]10^3[/tex] = 1000, ways to perform remaining steps .

the total number of license plate is 17576000

In this the number ways to place 'A' in step 1 is = '1'1, and the number of steps '0' in final steps id '1'

thus the total answer is 67600

26 X 25 X 24 X 10 X 9 X 8 = 11232000

24 X 10 X 9 X 8 = 17280

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Related Questions

What is 77 divided by 10

Answers

Answer:

7.7

Step-by-step explanation:

Answer:

77 divide by 10 answer is 7.7

A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. Which of the following is an appropriate pair of hypotheses for the manager to use?
A. H0 : Work experience is independent of the time of an employee's shift.
Ha, : Work experience is dependent on the time of an employee's shift.
B. H0 : Employees with over 20 years of experience are just as likely to start work
at 8PM
Ha : Employees with over 20 years of experience are less likely to start work
at 8 P.M.
C. H0 : There is an association between work experience and an employee's shift.
Ha : There is no association between work experience and an employee's shift.
D. H0 : For each shift, there is no difference between the proportions of work
experience level
Ha : For each shift, there is a difference between the proportions of work
experience level.
E. Ha : Among those in the sample, the proportion of employees for each work
experience level did not differ by shift.
Ha : Among those in the sample, the proportion of employees for each work
experience level did differ by shift.

Answers

Answer:

An appropriate pair of hypotheses for the manager to use is:

C.

H0 : There is an association between work experience and an employee's shift.

Ha : There is no association between work experience and an employee's shift.

Step-by-step explanation:

These research hypotheses compare the incidence of employee's work experience and the baseline group (the employee's shift).  

These hypotheses tests are statistical tools which assess whether or not there is an association between the two variables (work experience and shift).  

The null hypothesis test will provide the probability of the type 1 error (p-value).  

Based on the result, the research will accept or reject the null study hypothesis.

Answer:

A) H0 :  Work experience is independent of the time of an employee’s shift.

Ha :  Work experience is dependent on the time of an employee’s shift.

Step-by-step explanation:

A chi-square test of independence is appropriate. The null hypothesis expresses that there is not an association between two categorical variables (work experience and time of shift) and the alternative hypothesis expresses that the categorical variables are associated.

Find the area of the trapezoid.
22.2 cm
9.86 cm
8.52 cm
[? ]cm2
Enter the exact answer. Do not round

Answers

Answer:

151.4496

Step-by-step explanation:

it has not been rounded or anything that is the exact answer

Answer: 151.45 (151.4496)

Step-by-step explanation:

Formula: A = (a+b)/2 * h

Base = 22.2

Base = 8.52

Height = 9.86

Do the following:

(22.2+8.52)/2 * 9.86 = 151.4496

Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty​

Answers

Answer:

1. C: three | V: y

2. C: 7 | V: p

3. C: four | V: x

4. C: sixteen, ten | V: k

5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)

6. C: six, twelve | V: p

7. C: twenty, eight | V: h

8. C: four, five | V: x

9. C: fifteen | V: f

10. C: two, forty | V: d

Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
12 yd
10 yd
12 yd
Total Surface Area =
Tyds squared
yds cubed
Volume =

Answers

length l = 12 yd

width w = 10 yd

height h = 12 yd

diagonal d = 19.697715603592 yd

total surface area Stot = 768 yd2

lateral surface area Slat = 528 yd2

top surface area Stop = 120 yd2

bottom surface area Sbot = 120 yd2

volume V = 1440 yd3

please help, thank you (brainly if ur right)

Answers

Answer:

SAS ~

Step-by-step explanation:

Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?

Select all that apply

The value of c can be found using the formula 30+837

The value of c can be found using the formula C/8.37 = 3

Each baseball cost $25.11

Each boseball cost $279

Answers

The value of c can be found using the formula 3c = 8.37
The value of c can be found using the formula c/8.37=3
Each baseball cost $2.79

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

Angle 8 because it is a different measure to the other options.

Step-by-step explanation:

Congruent means the angles are the same and angle 8 is not the same as angle 7.

factoring review 2 terms 1-8

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

Find l.
10 in.
l
l = [?] ir
1
1
6 in.

Answers

Answer:

[tex]l=\sqrt{109}[/tex] in

Step-by-step explanation:

[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]

hope it helps....


Q5. Convert 7000 yards into kilometres. Given that 1km = 1093.6 yards
1)6km
2)O 62km
3)7.3km
4)O 6.4km

Answers

Answer:

4. 6.4km

Step-by-step explanation:

I hope this helps ^-^

the answer is report you welcome

Answers

Answer:

report

Step-by-step explanation:

Answer:

Step-by-step explanation:

Report???? What

Rewrite 2/5 and 4/11 so that they have a common denominator

Answers

Answer:

22/55 and 20/55

Step-by-step explanation:

multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55

please answer fast :)

Will says you cannot use a graphing calculator to graph a line when the equation is in point slope form. Explain Will's reasoning. How could you modify an equation given in point-slope for so that you could graph the line on a graphing calculator? Use the equation y - 2 = -3(x + 5) as an example in your explanation.

Answers

Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ‍♀️

a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.

Answers

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

What is distance?

"It is the length of the line joining the two points."

Angle properties:

In any triangle,

the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

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Easy math help ,,,,,,The set of ordered pairs shown below represents a linear function. What is one other pair of coordinates that could be the missing ordered pair (x, y) in this set? Show or explain how you determined your answer.
(-4,-2),(0,-1),(4,0),(x,y)

Answers

Answer:

(8, 1)

Step-by-step explanation:

The mx for this set of coordinates is 4x so the next point in this set would be (8, 1)

Answer: (8,1)

Explanation:


PLEASEEE HELP I WILL GIVE YOU BRAINIEST!!!!!

Answers

it’s B because the equations is something greater than -1

Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle.
(2√3,-2)
The polar coordinates of the point are

Answers

Answer:

(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

Step-by-step explanation:

Given the rectangular coordinate

(2√3,-2)

x = 2√3

y = 2

For polar coordinate;

x =r cos theta

y = rsin theta

r = √x²+y²

r = √(2√3)²+(-2)²

r = √4(3) + 4

r = √12+4

r = 4

theta = arctan(y/x)

theta = arctan(-2/2√3)

theta = arctan(-1/√3)

theta = -30

theta = 180 - 30

theta = 150degrees

x = 4cos 150

y = 4sin150

The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

The polar coordinates of the point are

Emily wants to find out if the carpool line around her school causes too much traffic on neighborhood roads. Which is a valid sample for her survey?

Answers

Answer:

25 families living near the school

Step-by-step explanation:

Answer:

25 families living near the school :D

Step-by-step explanation:

Can Someone Help Me. ?

Answers

Answer: 2/4

Step-by-step explanation:

answer is 2/4

rise/run

Suppose that a random sample of ​twenty-year-old men is selected from a population and that these​ men's height and weight are recorded. A regression of weight on height yields ​, where Weight is measured in pounds and Height is measured in inches. What is the​ regressions weight prediction for someone who is inches​ tall

Answers

Answer:

Hello your question is incomplete attached below is the complete question

answer : 192.15 pounds

Step-by-step explanation:

Given :

weight =  - 99.41 + 3.94*Height

R^2 = 0.81

SER = 10.2

Determine the regression weight prediction

Height of man = 74 inches

Hence : weight = - 99.41 + 3.94 * 74 = 192.15

therefore the regression weight prediction = 192.15 pounds

The radius of a circle is 25 millimeters. Find the diameter.

Answers

If you know the radius of the circle, you double it to get the diameter. if the radius is 25mm than the diameter will be 25mm×2, which gives you 50

Suppose that shoe sizes of American women have a bell shaped distribution with a mean of and a standard deviation of Using the empirical rule what percentage of American women have shoe sizes that are at least 6,887 Please do not round your answer .

Answers

Answer:

i dont know

Step-by-step explanation:

The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.

Answers

Is there a question to answer?

Only one question pls help

Answers

Cos x = 5 / 9 ==》 Cos x = 0.55

==》 x = 56 degrees

PLEASE HELP !!!!!
An angle measures 52° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

64° and 116°

Step-by-step explanation:

2x + 52° = 180°

2x = 128°

x = 64°

A group consisting of 126 students and 7 chaperones is going on a field trip. Which of the following groups does not have the same ratio of students to chaperones?

Answers

Answer:

c

Step-by-step explanation:

Here are the options

A 36 students and 2 chaperones B. 54 students and 3 chaperones O C 90 students and 4 chaperones D 108 students and 6 chaperones

We have to simply the ratio of students to chaperones to its lowest form .

126 : 7 = dividing number of students and chaperones by 7 gives :  18:1

36 : 2 = dividing number of students and chaperones by 2 gives : 18:1

54 : 3 = dividing number of students and chaperones by 3 gives : 18:1

90 : 4 = dividing number of students and chaperones by 4 gives : 22.5 : 1

108 : 6 = dividing number of students and chaperones by 6 gives : 18:1

It can be seen that it is only 90:4 that does not have the same ratio as that given in the question

If Quamie purchased 5 pencils for 20¢, how much will 20 pencils cost?

Answers

Answer:

80 cents

Step-by-step explanation:

Answer:

80 cents

Step-by-step explanation:

if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!

Find the surface area of a cylinder with a height of 11 feet in a base radius of 3 feet

Answers

Answer:

the answer is about 263.89 feet

Please help me my head hurt

Answers

The answer would be A because it’s the kilometers times the amount of days to equal 30

Answer:

my head hurts also

Step-by-step explanation:

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