license plates in a country far away consist of 2 letters followed by 4 digits (0-9). if the only restriction is that plates can not have the same digit 4 consecutive times, how many plates are possible? (so sw-4444) is not allowed by (sw-4443) is

Answers

Answer 1

As per the given probability, there are 6760000 number of plates number are possible.

Probability:

In math, probability means the possibility of favorable outcome.

Given,

License plates in a country far away consist of 2 letters followed by 4 digits (0-9). if the only restriction is that plates can not have the same digit 4 consecutive times,

Here we need to find how many plates are possible.

Here we have given that, A license plate composed of 2 letters followed by 4 digits.

The first step is considering the letters in the plate.

Here we know that, the plate consists of 2 letters.

And in alphabets, we have 26 letters which start from A to Z.

Therefore, we can choose 2 letters from 26 letters in 26² ways.

Now, we considering the digits in the plate.

Here the plate consists of 4 digits.

And we have 10 digits which starts from 0 to 9.

Now we can choose 4 digits from 10 digits in 10⁴ ways.

Therefore, the number of possible plates is

=> 26² × 10⁴

=> 676 x 10000

=> 6760000

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4


Related Questions

Please answer! Another math prob!

Answers

Gavin worked 7 hours tutoring and 3 hours landscaping.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Gavin is working for making $14 per hour tutoring and $13 per hour landscaping.

And, Last week Gavin worked a total 10 hours and earned $137.

Now,

Let number of hour for tutoring = x

And, Number of hour for landscaping = y

Since,  Gavin is working for making $14 per hour tutoring and $13 per hour landscaping and earned $137.

So, We can formulate;

⇒ 14x + 13y = 137  ..(i)

And, Last week Gavin worked a total 10 hours.

So, We get;

⇒ x + y = 10  ..(ii)

Multiply by 13 in equation (ii) and subtract from (i0, we get;

⇒ 14x + 13y - 13x - 13y = 137 - 130

⇒ x = 7

And, x + y = 10

⇒ 7 + y = 10

⇒ y = 10 - 7

⇒ y = 3

Thus, Gavin worked 7 hours tutoring and 3 hours landscaping.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

an executive hires 3 office workers from 8 applicants. (a) in how many ways can the selection be made?

Answers

The number of ways can the selection be made is 84.

Given:

an executive hires 3 office workers from 8 applicants.

a ) .

Number of ways = C ( 8 , 3 )

C ( n , r ) = n! / ( n - r ) ! r!

C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!

= 8! / 5! * 3 !

= 8 * 7 * 6 * 5! / 5! * 3!

= 56 * 6 / 3!

= 56 * 6 / 3 * 2 * 1

= 56 * 3 / 2 * 1

= 28 * 3 / 1

= 28 * 3

= 84 ways

Learn more about the selection here:

https://brainly.com/question/27990491

#SPJ4

What is the equation of this line in slope intercept form?

−x −5y=10

A y=−1/5x+10y

B y=5x−2y

C y=−1/5x−2y

D y=1/5x+10

Answers

C

Step-by-step explanation:

add x on both sides

-5y=10+x

divide both sides by -5

y=-1/5x-2

to sample the class you split the class into guys and girls. you then select at random 3 guys and 3 girls. what type of sampling did you do?

Answers

The type of sampling used to sample the class split into girls and boys is stratified sampling.

As given in the question,

Sample the class to split into guys and girls

Select at random 3 guys and 3 girls.

Types of sampling :

A simple random : Chances of selection is equally likely. Randomly choose the data.

False

B systematic: Samples are collected from large data so that it can systematically arranged.

False

C convenience : In this sample or data collection is done as per convenience.

False

D cluster : It divides the group into multiple group or clusters.

False

E stratified : This represents the division of heterogeneous group into fairly homogeneous group in form of strata.

True.

Therefore, the stratified sampling represents the splitting of class into guys and girls.

Learn more about sampling here

brainly.com/question/11045407

#SPJ4

The formula A=6V^2/3 related the surface Area ‘A’, in square units, of a cube to the volume ‘V’, in cubic units. What is the volume, in cubic inches, of a cube with surface area of 396.

Answers

536.2  cubic inches  is the volume of a cube with surface area of 396.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given,

[tex]A=6V^{\frac{2}{3}}[/tex]

A is surface Area ‘A’, in square units, of a cube

V is  volume of cube in cubic units.

We need to find the volume, in cubic inches, of a cube with surface area of 396.

A=396

We need to find V

[tex]V^{\frac{2}{3} } =A/6[/tex]

=396/6

=66

[tex]V=66^{\frac{3}{2} }[/tex]

V=536.2  cubic inches

Hence, 536.2  cubic inches  is the volume of a cube with surface area of 396.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

The of the degrees of each factor is the degree of the product.

Answers

Answer:The degree of the product is equal to the sum of the degrees of the factors.

Step-by-step explanation:

ar chie and bijan share some money in the ratio 7 : 11. bijan gets £132. how much money does archie get?

Answers

Archie will get $84.

We have given that,

archie and bijjan share some money in the ratio 7:11 and bijjan get $132.

We have to find how much money will archie get.

Let us consider x as a money

i.e. 7x:11x

bijjan gets $132

means 11x = 132

             x  = [tex]\frac{132}{11}[/tex]

             x = 12

Therefore archie's money,

7x=7(12) = 84

Hence archie get $84.

A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one. The concept of ratio defines us to compare two quantities while the proportion is an equation that shows that two ratios are equivalent.

To know more about ratio here

https://brainly.com/question/13640910

#SPJ4

two boats leave a dock at the same time. one boat travels south at and the other travels east at . after half an​ hour, how fast is the distance between the boats​ increasing?

Answers

After half an hour the two boats will be at a distance of 68 mph

Given,

Both boats are moving in a direction that creates a right angle triangle. The lengths of the triangle's legs are the distances that both boats travelled going straight south and straight east. The hypotenuse of a right angle triangle is the distance between them after t hours.

Let x stand for the length of the triangle's shorter south leg.

Let y stand for the length of the right angle triangle's longer (east) leg.

Assume that z is the hypotenuse.

Using the Pythagorean theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

We would discriminate with regard to t in order to ascertain the speed of the distances' alterations.

It develops,

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

Therefore,

The distance between the boats after half an hour is 68 mph

Learn more about distance between the boats here;

https://brainly.com/question/16955861

#SPJ4

Completed question is given below with missing parts.

Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60 mi divided by hr60 mi/hr. After half an​ hour, how fast is the distance between the boats​ increasing?

Find the value of so that the graph of the equation has the given y-intercept
Y= -1/3x + 5/6k; b= -10

Answers

The value of 'k' will be;

⇒ k = - 12

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph of the equation has the given y-intercept are;

⇒ Y= -1/3x + 5/6k;  b= -10

Now,

Since, The equation of line in point-slope form will be;

⇒ y = mx + b

Here, The equation is,

⇒ Y= -1/3x + 5/6k

Hence, The y - intercept (b) = 5/6k

But here, b = - 10

So, We get;

⇒ 5/6 k = - 10

Solve for k as;

⇒ 5k = - 10 × 6

⇒ 5k = - 60

⇒ k = - 12

Thus, The value of 'k' will be;

⇒ k = - 12

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

a researcher developing a regression equation to predict income (y) in thousands of dollars from age (x1) and educational status (x2) found a significant interaction between age and educational status (x3). educational status is a dummy variable with 0

Answers

36% of the variability equation to predict income (y) in thousands of dollars from age (x1) and educational status (x2) found a significant interaction between age and educational status (x3).

Given:

Correlation value: 0.6

The amount of variation in the dependent variable that can be predicted from the independent variable is shown by the coefficient of determination.

The correlation coefficient is equal to;

Since the correlation in this instance is equal to 0.6, our coefficient is 0.36. Therefore, the age of the home can account for 36% of the variation in equation to predict income (y) in thousands of dollars from age (x1) and educational status (x2) found a significant interaction between age and educational status (x3).

To learn more about dependent variable:

https://brainly.com/question/1479694

#SPJ4

two polygons are similar, and the ratio s1/s2? of their corresponding sides is 8/7. find the ratio of their areas, a1/a2.

Answers

Two polygons are similar, and the ratio s1/s2 of their corresponding sides is 8/7 then the ratio of their areas, a1/a2 = 64/49.

In the given question, two polygons are similar, and the ratio s1/s2 of their corresponding sides is 8/7.

We have to find the ratio of their areas, a1/a2.

As we know that, the measurement of the area that a polygon encloses serves as its definition. The area of a polygon is the space that it takes up in a two-dimensional plane since polygons are closed plane structures.

As given that, two polygons are similar.

The ratio of their corresponding sides are

s1/s2 = 8/7

According to properties of similar polygon, the ratio of the areas of the two polygons is the square of the ratio of the sides. Hence,

a1/a2 = (s1/s2)^2

a1/a2 = (8/7)^2

a1/a2 = 64/49

Hence, two polygons are similar, and the ratio s1/s2 of their corresponding sides is 8/7 then the ratio of their areas, a1/a2 = 64/49.

To learn more about area of polygon link is here

brainly.com/question/22590672

#SPJ4

The annual cost C (in thousands of dollars) and revenue R (in thousands of dollars) for a company each

year from 2010 through 2016 can be approximated by the models = 254 − 9 + 1. 12 and = 341 +

3. 2 where t is the year.

Write a function P that represents the annual profit of the company.

(Profit = Revenue − Cost)

Answers

A function P is provided that represents the company's annual profit: P = (1.1)t² - (12.2)t + 87 .

Describe the term Function?Function: A relationship between two variables, one of which is dependent on the other and the other of which is independent, is represented by an expression.The overall cost incurred by a business (or organization) for one employee over the course of a year is known as the annual cost.

We provided Cost C. ( in thousand of dollar)

And a company's revenue R (in thousands of dollars).

C is the cost function.

C = 254 - 9t + (1.1)t²Revenue function R = 341 - 3.2t where t time in year .

The value t = 9 is 9 years.

If P is the Annual profit. Then,

Profit = Revenue − Cost

P = R - C

P = 341 - (3.2)t - 254 - 9t + (1.1)t²

= (1.1)t² - (12.2)t + 87

Thus, a function P is provided that represents the company's annual profit: P = (1.1)t² - (12.2)t + 87 .

To know more about the Function, here

https://brainly.com/question/11624077

#SPJ4

Complete Question:

The annual cost C in thousands of dollars and revenue R in thousands of dollars for a company each year from 2010 through 2016 can be approximated by the models C = 254 − 9t + 1.1t2 and R = 341 + 3.2t where t is the year, with t = 10 corresponding to 2010.

(a) Write a function P that represents the annual profit of the company.

explain how the is related to the standard error of the estimated difference in average birth weight for smoking and nonsmoking mothers.

Answers

Nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

What is birth weight?

The body weight of a newborn is referred to as birth weight. Infants of European descent typically weigh between 2.5 and 4.5 kilogrammes at birth, with an average of 3.5 kilograms. South Asian and Chinese babies weigh about 3.26 kilogrammes on average.

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grammes. Babies born to smokers often ranged in weight from 500 to 4500 grammes.

However, we also notice some significant variations between the two groups' normal ranges of birth weights. With fewer infants in the lower weight ranges, nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

Learn more about birth weight link below

https://brainly.com/question/19578851

#SPJ4

Mercury orbits the Sun 3 times in 264 days.

a. How many times does Mercury orbit the Sun in 440 days?

Mercury orbits the Sun__________ times in 440 days.

Question 2
b. How many days does it take Mercury to orbit the Sun 8 times?
It takes Mercury_________ days to orbit the Sun 8 times.

Answers

Answer:

a. 15 days

b. 704 days

Step-by-step explanation:

a.264+88+88=440

b.It takes mercury 264 days to orbit the sun 3 times which means all you have to do is

264+264=528+264=792-88=704

3 + 3 = 6 + 3 = 9- 1 = 8

A company that makes​ hair-care products had 8000 people try a new shampoo. Of the 8000 ​people, 48 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

0.6% of the people had a mild allergic​ reaction

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A company that makes​ hair-care products had 8000 people try a new shampoo.

In the 8000 people, 48 had a mild allergic reaction.

We need to find the percent of the people had a mild allergic​ reaction

We have to find what is 48 percent in 8000.

x×8000=48

Divide both sides by 8000

x=48/8000

x=0.006

Now we need to multiply by 100 as it is a hundredth part.

0.006×100

0.6

Hence, 0.6% of the people had a mild allergic​ reaction

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

using the following information. coefficients intercept −12.8094 independent variable 2.1794 anova df ss ms f regression 1 12,323.56 12,323.56 90.0481 residual 8 1,094.842 136.8553 total 9 13,418.4 what is the standard error of the estimate? multiple choice 136.8552 1,094.842 11.6985 13,418.4

Answers

The Standard error of the estimate is 11.6985

The standard error of estimate is the measure of variation of an observation made around around the regression line

Simply, It is used to check the accuracy of prediction made with the regression line. A standard deviation which measures the variation in the set of data from its mean, the standard error of estimate also measured the variation in actual values of Y from the computed values of Y on the regression line.

Given in the question,

coefficient of y-intercept = -12.8094

Coefficient of x = 2.1794

N-1 = 9

=> N = 10

SSE = 1094.842

Standard error of estimate = √SSE(N-2)

where , SSE is sum of square of error

S.E = √(1094.842)/ (10-2)

=> √(1094.842)/8

=> √136,855

=> 11.6985 is standard error

To know more about Standard error here

https://brainly.com/question/1191244

#SPJ4

Determine whether or not each of the following have the well-ordering property (i.e. whether "WOP(A;)" holds/is true or if is fails/is false). If for a set Ai, WOP(Ai) fails, then give a nonempty subset Eị of the set Aj which has no least element, i.e. give a subset that serves as a counterexample to "WOP(A;)", in other words give a witness that shows that the well- ordering property fails. 1 (iv) A4 = {5i +į lien} = {} \}} (v) A5 ne Z\ {0} n (vi) A6 = {-5, 7, 10, 13}

Answers

(iv) set A₄ holds well ordering property.

(v) set A₅ does not hold well ordering property.

(vi) set A₆ holds well ordering property.

(iv) A₄ = {5i+1/i I i ∈ N}

         = { 5(1) + 1/1, 2(2)+1/2, 5(3)+1/3, 5(4)+1/4, .....}

         = {5+1, 10+1/2, 15+1/3, 20+1/4, ....}

Elements of the set A₄ are distinct and increasing and 6 is the least elements of A₄.

set A₄ holds well ordering property.

(v) A₅ = { 1/n I n ∈ ZI }

        = {1,1/2,1/3,1/4,1/5,....}

A₅ does not hold well ordering property.

(vi) A₆ = {-5,7,10,13}

A₆ is the finite set and all elements are distinct .

For any sub sets of A₆ there exists a dense elements.

A₆ holds well deseriving property.

Hence we get the required answer.

Learn more about Sets here:

brainly.com/question/13458417

#SPJ4

find the probability if two dice are rolled. (enter the value of probability in decimals. round the answer to three decimal places.)

Answers

The probability of getting a total of 8 when two dice are rolled is 0.139.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be represented by proportions on a 0–1 scale.

A single die will have six sides with the numbers: 1, 2, 3, 4, 5, and 6. Each of these events is equally likely to occur if the dice are rolled fairly. So the probability of getting any side of the number is 1/6. Therefore, the probability of getting 1 in dice is 1/6, 2 is 1/6, and so on.

Therefore, the total possible outcomes are the multiplication of the total possible outcomes on dice 1 and dice 2, which is 36.

This possible outcome of rolling two dice is given by,

[tex]\left\{\begin{array}{ccccccc}(1, 1)&(1, 2)& (1, 3)&(1, 4)&(1, 5)&(1, 6)\\(2, 1)&(2, 2)&(2, 3)&(2, 4)&(2, 5)&(2, 6)\\(3, 1)&(3, 2)&(3, 3)&(3, 4)&(3, 5)&(3, 6)\\(4, 1)&(4, 2)&(4, 3)&(4, 4)&(4, 5)&(4, 6)\\(5, 1)&(5, 2)&(5, 3)&(5, 4)&(5, 5)&(5, 6)\\(6, 1)&(6, 2)&(6, 3)&(6, 4)&(6, 5)&(6, 6)\end{array}\right\}[/tex]

The probability of getting a total of 8 from both dice is given by, (2, 6) (3, 5) (4, 4) (5, 3) (6, 2). So the number of favorable outcomes is 5 and the total outcome is 36. The probability is P(getting a total of 8 from both dices)=5/36= 0.139.

The answer is 0.139.

The complete question is -

Consider rolling dice and getting a total of 8. Find the probability of two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places).

To know more about dice probability:

https://brainly.com/question/17239706

#SPJ4

there are 38 different time periods during which classes at a university can be scheduled. if there are 677 different classes, what is the minimum number of different rooms that will be needed?

Answers

The minimum number of different rooms that will be needed = 18

We know that the Pigeonhole Principle states that if N objects are placed into k boxes, then at least one box contains at least N/k objects.

In this question, we have been given there are 38 different time periods during which classes at a university can be scheduled.

if there are 677 different classes, we need to find the minimum number of different rooms that will be needed.

There exists a time period will have at least 677/38 = 18 classes during

it.

Therefore, 18 different rooms will be needed.

Learn more about Pigeonhole Principle  here:

https://brainly.com/question/24491336

#SPJ4

Which criteria for triangle congruence allows you to immediately conclude that the triangles.

Answers

We may determine that the triangles are congruent based on the (B) HL criterion right away.

What are HL criteria?

According to the HL Postulate, a right triangle's hypotenuse and leg are congruent if they are also congruent with the hypotenuse and leg of another right triangle.

So, we can see from the accompanying figure that these two triangles share a center line that is parallel to the base.

The two triangles are therefore right-angled triangles.

The hypotenuse of two triangles being congruent is then mentioned as a further argument.

Triangle congruence according to the HL criterion allows for a quick determination of congruence.

Therefore, we may determine that the triangles are congruent based on the (B) HL criterion right away.

Know more about HL criteria here:

https://brainly.com/question/29104848

#SPJ4

Complete question:
Which criteria for triangle congruence allows you to immediately conclude that the triangles are congruent without any extra steps?

A) SAS

B) HL

C) AAS

D) none

Point 8 in the graph below is reflected through the line y=-x.
Iy
++
-6-4-2
6-
2-
-2.
-6
B.
2 46. x
I
What are the coordinates of Point B', the image of Point B?

Answers

Answer:

[tex](-4,-5)[/tex]

Step-by-step explanation:

When reflecting over [tex]y=-x[/tex], [tex](x,y) \longrightarrow (-y, -x)[/tex].

tion for y: 2x + 3y = -6. Then, answer the questions that follow.
formed equation, what is the slope of the linear equation 2x + 3y = -6?
to find solutions to the linear equation.
x
Lesson 17 Problem Se
Transformed Linear Equation:
y

Answers

Answer:

The slope is -2/3

Step-by-step explanation:

2x + 3y = -6

We want to find the slope, so we need to get the equation in slope intercept form y = mx+b  where m is the slope and b is the y intercept

Subtract 2x from each side

3y = -2x+6

Divide each side by 3

y = -2/3x +2

The slope is -2/3

Please help asap now !!!!!

Answers

Answer:

220.25

Step-by-step explanation:

881 divided by 4 is 220.25

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 10 fewer than twice the number of songs that the drummer wrote. They wrote a total of 50 songs. Write the system of equations that models this situation if the drummer wrote d songs and the guitarist wrote g songs.

Answers

Answer:

Step-by-step explanation:

no

The parking garage at the airport has 625 parking spaces. 92% of the spaces are empty. How
many empty spaces are there in the parking garage?

Answers

Answer:

575 empty spaces

Step-by-step explanation:

If 625 --> 100% then

    X   --> 92%

X= (625 * 92)/100

X= 575

length
Quantity
amount of substance
luminous intensity
US Customary Units
inch (in), foot (ft), yard (yd), mile (mi)
ounce (oz), pound (lb), ton (tn)
fluid ounce (fl oz), pint (pt), quart (qt),
gallon (gal)
second (sec), minute (min), hour (hr)
degrees Fahrenheit ("F)
SI Units
kilometer (km), meter (m), centimeter
(cm), millimeter (mm)
second (s)
Kelvin (K)
kilogram (kg), gram (g), milligram (mg)
ampere (A). milliampere (mA)
mole (mol)
candela (cd)

Answers

Answer:

Step-by-step explanation:

All units of a physical measure are linked via a conversion factor. On this web page for every unit you can find the conversion factor compared to the base unit (SI unit).

To do a conversion (or equivalent) you must multiply the value to be converted by the conversion factor of the start unit and then divide the result by the conversion factor of the destination unit.

For example, we want to know how many centimeters equals 12 yards?

# convert the units in meters (which is the SI base unit for the lengths)

# 1 yard = 0.9144 meters

# 1 centimeters = 0.01 meters

# derive the conversion factor between the yard and centimeters by dividing the factors found

# 0.9144/0.01 = 91.44

# 1 yd = 91.44 cm

# now we multiply the amount to be converted by the conversion factor found

# 12 * 91.44 = 1097.28

# result: 12 yd equals 1097.28 cm

Unit conversion tool implements this simple algorithm.

let $s$ be the set of the 2005 smallest positive multiples of 4, and let $t$ be the set of the 2005 smallest positive multiples of 6. how many elements are common to $s$ and $t$? (a) 166 (b) 333 (c) 500 (d) 668 (e) 1001

Answers

The number of elements that are common to S and T are 668 elements ,

the correct option is (d) .

In the question ,

it is given that ,

the set S is the set of 2005 positive multiple of 4

that is S = {4,8,12,16,....}

and the set T is the set of 2005 positive multiple of 6

that is T = {6,12,18,24,....}

and since the least common multiple , LCM of 4 and 6 is = 12,

So , elements that are common to set  S and T must be multiples of 12.

Since,  4 × 2005 = 8020 and 6 × 2005 = 12030,

the several multiples of 12 that are in set T won't be in set S,

but all multiples of 12 that are in set S will be in set T.

So we have to find the number of multiples of 12 that are in set S.

and since 4 × 3 = 12, that means every 3rd element of set S will be a multiple of 12.

which is = 2005/3 = 668 .

Therefore , there are 668 elements that are common .

The given question is incomplete , the complete question is

Let S be the set of the 2005 smallest positive multiples of 4, and let T be the set of the 2005 smallest positive multiples of 6. how many elements are common to S and T ?

(a) 166 (b) 333 (c) 500 (d) 668 (e) 1001

Learn more about Common Elements here

https://brainly.com/question/17009142

#SPJ4

five hamburgers cost 5.25 at this rate what is the cost of 8 hamburgers

Answers

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

1. Divide 5.25 by 5 to get the price of 1
2. Price of 1 is 1.05
3. 1.05 multiply by 8 is 8.40
ANSWER: $8.40 for 8

tasmanian automobile licence plates consist of three capital letters (a through z) followed by three digits (0 through 9). how many different tasmanian license plates are possible?

Answers

tasmanian license plates are 8,000,000 combinations possible

In probability, what do combination and permutation mean?

Combinations and permutations may appear to be synonyms. However, they are defined differently in probability theory. Combinations: The sequence of results is irrelevant. Permutations: The sequence of events matters.

If an event is made up of numerous other events (i.e., when it is a list), we may calculate the probability that it will occur with the help of permutations and combinations. If the sequence of the events doesn't matter, we have a combination; if it does, we have a permutation. A permutation can be defined as an ordered combination.

An ordered combination is what is meant by a permutation.

The number of permutations of n objects, taken r at a time, is calculated using the formula below:

P(n,r)=n!(n-r)!

The following formula calculates the number of combinations of n objects taken r at a time: C(n,r)=n!/(n-r)!r!

there are 26^3 combinations of letters. And 10^3 combinations of numbers.

So the total combinations is 26^3 x 10^3 = 17,576,000

Many license plates don’t allow vowels a,e,i,o,u,and y which would accidentally form some awkward words…

Then you’d have 20^3 x 10^3 = 8,000,000 combinations.

Learn more about combinations

https://brainly.com/question/3901018

#SPJ4

1. Claude can do 120 jumping jacks in 2 minutes.
Write an equation to represent how many jumping
jacks Claude can complete in 5 minutes.

Answers

(120/2)(5). 120/2=60, 60x5 = 300 jumping jacks in 5 minutes
Other Questions
the paired t-test is used for randomized group designs is less powerful than the randomized t-test is used to analyze with-subject designs tests differences between pairs of participants an active-high input s-r latch has a 1 on the s input and a 0 on the r input. what state is the latch in? Which of the following accurately describes the reign of Justinian the Great? The Byzantine Empire reached its greatest extent and had no internal conflicts. Roman law was significantly reformed and North Africa was temporarily reconquered. He was unable to achieve his ambition of restoring the old Roman religion. After a promising start, his inability to suppress the Nika Rebellion led to the empire being split. classify the following journal entry: accountdebitcredit unearned revenue985 fees earned985 a.closing entry b.transaction entry c.adjusting entry d.none of these choices wilson farms' stock has a beta of .73 and an expected return of 9.0%. the risk-free rate is 1.9% and the market risk premium is 7.3%. this stock is because the capm return for the stock is %. group of answer choices undervalued; 7.53 overvalued; 7.23 undervalued; 7.23 undervalued; 7.46 overvalued; 7.53 Consider the expression (2.3x6)+(2.3x4).Evaluate the expression. Show your work NO LINKS!! Determine if the figures have line, point, and/or rotational symmetry. Check all that apply. Part 1 which answer has the colors in order from the lowest energy to the highest? group of answer choices red, blue, green blue, red, green blue, green, red red, green, blue a large population of mice in a laboratory has an average weight 32 grams with a standard deviation of 4 grams. a scientist weighs a random sample of 25 mice for an experiment. if the sample mean of the 25 mice is 30.4 grams, would this be significant evidence, at the 5 percent level of significance, against the hypothesis that the average weight of all mice is indeed 32 grams? explain the consequences of french exploration and colonization in north america 17. when evaluating an exercise, evaluators record their observations in the exercise evaluation guide (eeg). observations that should be recorded include: a. actual time required for exercise players to complete the critical task(s) b. resources utilized c. inject delivery timing d. a and b e. a and c f. all of the above when a deaf person does not see an officer approach or see the officer's lips move when issuing a command, how does this behavior appear to the officer? We humans are changing the composition of the atmosphere in many ways. Those changes will directly affect the planets temperature, but the resulting change in temperature will affect other things on the planet that also affect the planets temperature. Suppose that we could magically change the composition of the atmosphere enough to raise the temperature one degree if all other parts of the earth system were held fixed, and after the warming, we allowed the other parts of the earth system to react for a few years or decades. At the end of that time, what would be the total change in the earths temperature?. comey products has decided to acquire some new equipment having a $210,000 purchase price. the equipment will last 4 years and is in the macrs 3-year class. (the depreciation rates for year 1 through year 4 are equal to 0.3333, 0.4445, 0.1481, and 0.0741.) the firm can borrow at a 10% rate and pays a 25% federal-plus-state tax rate. comey is considering leasing the property but wishes to know the cost of borrowing that it should use when comparing purchasing to leasing and has hired you to answer this question. what is the correct answer to comeys question? (hint: use the shortcut method to find the after-tax cost of the loan payments.) do not round intermediate calculations. round your answer to the nearest dollar. with regard to environmental strategies, which is a holistic approach that represents a fundamental shift in the way a firm markets its products? personality disorders are evident in approximately percent of u.s. adults. please choose the correct answer from the following choices, and then select the submit answer button. answer choices 14 17 11 8 how many times larger in diameter of the smallest jovian planet than the diameter of the largest terrestrial planet on september 1, ziegler corporation had 55,000 shares of $5 par value common stock, and $165,000 of retained earnings. on that date, when the market price of the stock is $15 per share, the corporation issues a 2-for-1 stock split. the general journal entry to record this transaction is: an emerald has an index of refraction of 1.57. the light from a red laser of wavelength 633nm in vacuum travels within the emerald. what is the maximum angle with respect to the normal that this light can strike the emerald/air interface such that the light wave exits into the air? olitical ideology paper- write a three page, double spaced paper in which you explain the factors that impacted the development of your political ideology. pay close attention to race, religion and socio-economic status