Suppose a and b are independent events. if p(a) = .5 and p(b) = 0.45 what is p(a^b)

Answers

Answer 1

If P(a)=0.5 and P(b) =0.45, then P(a ∩ b) is 0.225.

What are independent events?

Independent events are events such that the occurrence of one event won't affect the other.

Therefore,

P(a) × P(b) = P(a ∩ b)

Hence,

P(a) = 0.5

P(b) = 0.45

Therefore,

P(a ∩ b) = 0.5 × 0.45

P(a ∩ b) = 0.225

learn more on Independent event here: https://brainly.com/question/2840943

#SPJ1


Related Questions

Moya i moving to a new houe and packing up. She ha 70 kilogram of book and 127 kg kilogram of clothing to end through the potal ervice. How much more do her clothe weigh than her book? How much i her hipping cot of h ha to pay $80 per kg of book and $200 per kg of clothing?

Answers

The amount that her clothes weigh more than her books would be

= 57kg

The amount for the shipping cost for her school would be

= 5600+25400 = $31000

Postal Service:

The Postal Service is an American indie pop supergroup from Seattle, Washington, consisting of singer Ben Gibber, producer Jimmy Tamborello, and backing vocalist Jenny Lewis.

The band released her only album Give Up in 2003 on her Sub Pop Records to mostly positive reviews. The album reached his number 114 spot on the US Billboard 200 album chart and was certified platinum by the Recording Industry Association of America.  Laura Bergen joined the line-up for the entire tour, providing additional vocals and instruments, while Jen Wood and Jenny Lewis filled in for some shows.

According to the Question:

The mass of Moya's books = 70 kilograms

The mass of Moya's clothing = 127 kg

The difference between the both masses = 127 - 70 = 57kg

The cost per kg for books = $80 per kg

The cost per kg of clothing = $200

Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)

= 5600+25400 = $31,000.

Learn more about Shipping Cost:

https://brainly.com/question/28452155

#SPJ4

I need help asap! Please and thank you

Answers

One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

How do you determine the slope?

You can find the slope of the line by determining the rise and run of two locations on the line. The rise is the vertical change between two places, while the run is the horizontal change. The slope is calculated by dividing the climb by the run: Riserun = Slope Slope = rise and run.

Depending on the form of the equation in front of you, the procedure for calculating the slope will differ. If the equation is written as y = mx + c, the slope (or gradient) is simply m. If the equation is not in this form, attempt rearrangement. You will need to do the following to determine the gradient of additional polynomials:

To learn more about slope to refer:

https://brainly.com/question/19131126

#SPJ1

Write the inequality represented on each graph. Use n for the variable.

Answers

Graph 1 has n<14 inequalities, and graph 2 has n>14 inequalities.

What exactly is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

The two rules of inequality :

Rule 1: Adding or subtracting the same amount from both sides of an inequality does not change the inequality symbol. Rule 2: Multiplying or dividing both sides by a positive number does not change the inequality symbol.

Here graph 1 depicts

The line is extending to the left of the number 14, excluding 14.

So, the inequality will be;

n < 14.

The graph 2 depicts

The line, which includes the number 14, is moving to the right.

So, the inequality will be ;

n≥14

As a result, the inequalities are n14 and n14 of graphs 1 and 2, respectively.

To learn more about inequality refer to :

https://brainly.com/question/24372553

#SPJ1

Proportional or nonproportional? Need answer asap

Answers

Answer:

Proportional

Step-by-step explanation:

Okay so let's do this problem. In order to figure this out we must find if the slope remains the same.

For y
61-26= 35 26-11= 15

For x
12-5= 7     5-2= 3

35/7 = 5

15/3 = 5

Since the slope remains 5 between the three points this is proportional.

Triangle ABC is similar to Triangle ADE. Find x, the distance from Point B to Point C.

Answers

The distance from Point B to Point C of the triangle will be 45 feet.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Triangle ABC is similar to Triangle ADE. Then the equation is given as,

x / 15 = (40 + 20) / 20

x / 15 = 60 / 20

x / 15 = 3

x = 45 feet

The distance from Point B to Point C of the triangle will be 45 feet.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

The complete question is given below.

WILL GIVE BRAINLIEST
An open drainage ditch is made using metal pipes with a diameter of 200 cm. To create an opening on the top of each pipe, workers must cut and remove a section on each pipe as shown.


What is the depth of this ditch, to the nearest tenth of a centimetre?


Note: Answers not to the nearest tenth of a centimetre will be considered wrong.

Answers

Answer:

180 cm

Step-by-step explanation:

I had to look up some of these equations

Central angle  'a' = 2 arcsin ( c/(2R) = 2 arcsin (120/(2*100) ) = 73.74°

d= R cos ( a/2) = 100 cos ( 73.74/2) = 80 cm

So from the cutout to the bottom will be   80 + 100 = 180 cm

2c. Find the volume of the ice cream shown below. Use 3.14 for pi. Round all answers to 1 decimal place.
Please help!!!​

Answers

On solving the provided question, we can say that volume of the toy = volume of cylinder + volume of hemi-sphere Volume, V = [tex]\pi r^2 + 2/3\pi r^3[/tex] V = [tex]3.14*2*2*3 + 2/3*3.14*2*2*2[/tex] = 54.4266666667 = 54 cubic in.

what is cylinder?

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

volume of the toy = volume of cylinder + volume of hemi-sphere

Volume, V = [tex]\pi r^2 + 2/3\pi r^3[/tex]

V = [tex]3.14*2*2*3 + 2/3*3.14*2*2*2[/tex] = 54.4266666667 = 54 cubic in.

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ1

it takes Maria 340 seconds to travel 4400 meters in her car.what is her rate of speed in kilometers per hour?please answer ASAP:)

Answers

Answer:

Takes maria

Step-by-step explanation

Maria's rate of speed is 46.5 kilometers per hour.

What is the distance?

Distance is defined as the product of speed and time.

Since there are 3600 seconds in an hour, we can divide the time it takes Gretchen to travel 4400 meters by 3600 to find the number of hours it takes her:

⇒ 340 seconds / 3600 seconds/hour = 0.09444444 hours.

Next, we need to convert the distance she travels to kilometers. Since there are 1000 meters in a kilometer, we can divide the distance Maria travels by 1000 to find the number of kilometers she travels:

⇒ 4400 meters / 1000 meters/kilometer = 4.4 kilometers.

Now that we have the distance Maria travels and the time it takes her to travel that distance in the appropriate units, we can divide the distance by the time to find her rate of speed in kilometers per hour:

⇒ 4.4 kilometers / 0.09444 hours = 46.5882375  kilometers/hour.

Thus, Maria's rate of speed is 46.6 kilometers per hour.

draw a line through the point (2,2) with a slope of 1. Draw a line through the point (1,-1) with a slope of 1. WHAT IS THE OTHER LINE? please help asap!!!!

Answers

F(x)=x-2 ? The slope is one and it passes through (1,-1)

Appliance World places a markup on a washer/dryer combination of $295.00, which is 35%based on cost. Find the cost, then the selling price. What is the selling price of the washer/dryer? $1,098.74 $1,137.86 $1,032.19 $1,059.43

Answers

The selling price of the washer/dryer is $1,137.86. Thus, the correct answer is option b.

To find the cost of the washer/dryer, we need to reverse the markup percentage. We can do this by dividing the markup by 100 and then multiplying by the selling price.

Markup = (Markup Percentage) x (Cost)

So, if we rearrange this equation and solve for cost:

Cost = (Markup) / (Markup Percentage)

Plugging in the given information:

Cost = $295.00 / 0.35

Cost = $842.86

To find the selling price, we add the markup to the cost:

Selling Price = Cost + Markup

Selling Price = $842.86 + $295.00

Selling Price = $1,137.86

The selling price of the washer/dryer is $1,137.86.

To learn more about Cost,

https://brainly.com/question/13820610

The complete question- Appliance World places a markup on a washer/dryer combination of $295.00, which is 35%based on cost. Find the cost, then the selling price. What is the selling price of the washer/dryer? a)$1,098.74. b) $1,137.86 c)$1,032.19. d)$1,059.43

In △ABC , point D lies on AC¯¯¯¯¯¯¯¯ , point E lies on BC¯¯¯¯¯¯¯¯ , and DE¯¯¯¯¯¯¯¯∥AB¯¯¯¯¯¯¯¯ .

Answers

The value of the ratio OC'' : OC' is given as follows:

OC'' : OC' = 1 : 4.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

For point C', the scale factor is given as follows:

k = 2.

For point C'', the scale factor is given as follows:

k = 1/2.

The ratio between two amounts a and b is given by the division of a and b, as follows:

a : b.

Hence the ratio between the distances OC'' and OC' is given as follows:

(1/2)/2 = 1/2 x 1/2 = 1/4.

(division of fractions, we multiply the first fraction, of 1/2, by the inverse of the second fraction 2/1, which is of 1/2).

In ratio notation, we have that:

OC'' : OC' = 1 : 4.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

Subtract 3/x-1 - 4/x+3 (rational expression)
Please explain step by step!!

Answers

The value of 3/x-1 - 4/x+3 is (13-x)/(x-1)(x+3)

What are algebraic fractions?

Algebraic fractions are fractions using a variable in the numerator or denominator, such as . Because division by 0 is impossible, variables in the denominator have certain restrictions. The denominator can never equal 0.

The numerator and denominator are called the terms of the algebraic fraction.

We simplify the expression by finding the LCM of the denominator.

therefore 3( x+3) - 4(x-1))/(x-1)(x+3)

opening the parentheses

(3x+9-4x+4)/(x-1)(x+3)

= (13-x)/(x-1)(x+3)

Therefore the value of 3/x-1 - 4/x+3 is (13-x)/(x-1)(x+3)

learn more about algebraic fractions from

https://brainly.com/question/11875858

#SPJ1

what are the bionomial factors of the polynomial x^3-5x^2+2x+8

Answers

Answer:

[tex](x+1)(x-2)(x-4)[/tex]

Step-by-step explanation:

By the Rational Root Theorem, possible rational solutions for the given polynomial are [tex]\pm1,\pm2,\pm4,\text{ and}\pm8[/tex], so we can test each one:

1 |  1  -5   2   8

____ 1_-4_-2

    1  -4  -2 | 6 <-- (x-1) IS NOT a root

-1 |  1  -5   2    8

____-1_ 6_ -8

     1  -6   8  | 0 <-- (x+1) IS a root

So, [tex]x^3-5x^2+2x+8=(x+1)(x^2-6x+8)=(x+1)(x-2)(x-4)[/tex]

Which energy transfer system is represented by the heating of the thermometer in model 2?

Answers

The thermometer functions because of temperature-related expansion and contraction. Conduction is the process by which heat moves from one item to another.

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

The thermometer will display a greater temperature as the liquid expands and rises as it gets hotter.

The thermometer functions because of temperature-related expansion and contraction.

Conduction is the process by which heat moves from one item to another.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Which of the following is not equivalent to the other three?
a.
sin x
sinx
C.
tan x
1– cosx'1+cosx
secx-1
b. 2 cotx sec x
d.
A
B
C
D
Please select the best answer from the choices provided
+
sin x
1- sin x
tanx
secx + 1
+
sin x
1+ sin x

Answers

On solving the question, the answer of given trigonometric question  is tanx-sinx.

Is trigonometry challenging?

This is due to the fact that trigonometry is still regarded as a very challenging and abstract branch of mathematics in comparison to other branches. When learning trigonometry, students frequently run into mistakes, misunderstandings, and barriers. A subfield of mathematics known as trigonometry studies how angles and length ratios relate to one another. Applications of geometry to astronomical research led to the field's emergence in the Hellenistic civilization during the third century BC.

cosecx(secx−1)−cotx(1−cosx)

= 1/sinx*1(1-cosx)/sinxcosx−cosx(1−cosx)/sinx

=((1−cosx)−sinxcosx(1−cosx))/sinxcosx

=sinxcosx(1−cosx)−cos^2x(1−cosx)​

=(1−cosx)(1−cos2x)/sinxcosx

=(1−cosx)×sin2^x/sinxcosx

=tanx(1−cosx)

=tanx−tanxcosx

=tanx−sinx/cosx×cosx

=tanx−sinx

To know more about trigonometric visit:-

brainly.com/question/29156330

#SPJ1

Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table.
Flour (cups)
Oats (cups)

Answers

So, 30 and 5 are the values that are missing is calculated by ratio and proportion.

What are prop and ratio?

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

If both the antecedent and the consequent are multiplied or divided by the same non-zero number, the ratio remains the same.

i.e.,

We can see from the provided table that:

In the second column,

Since, 6x0.5=3

Thus, multiply 10 by the same number.

10x0.5=5

For the third column,

since,

50=10x5

multiply by the same number, then

6x5=30

To know more about proportion visit:-

brainly.com/question/29774220

#SPJ1

PLEASE HELP ME ITS DUE IN 30 mINS PLEASE 50 POINTS
The perimeter of Brian's kitchen is 12x - 2 feet,while the perimeter of his living room is 18x - 11 feet. Determine how much greater the perimeter of Brian's living room is in comparison to his kitchen.
PART A: Write an algebraic expression to represent how you would represent the given situation above.



PART B:Simplify your expression to determine the difference between the two perimeters. SHOW YOUR WORK



Expression = Blank feet

Answers

Answer:

6x - 9

Step-by-step explanation:

18x -11 - (12x - 2)   Can be written

18x -11 -1(12x -2)  Distribute the -1

18x - 11 -1(12x) + (-1)(-2)

18x - 11 -12x +2  Combine like terms

6x -9

The point (2,−3) lies in the third quadrant.ATrueBFalse

Answers

Answer:

B. False

Pont (2, -3) lies on the fourth quadrant.

Step-by-step explanation:

You're welcome.

Will give brainliest !! Just pls help: the mean of 10, 15, and 23 is the same as the mean of 18, 20 and ____ What number goes in the box?

Answers

Answer: 23

Step-by-step explanation:

Answer:23

Step-by-step explanation:

Which of the following is Pythagorean triplet ?A. (6,8,10)B. (5,12,13)C. (7,13,15)D. (3,4,5)

Answers

Our Pythagorean triplets will be (6,8,10), (5,12,13), and (3,4,5).

So what is the Pythagorean triplet?

The square of the greatest number in a Pythagorean triplet equals the sum of the squares of the other two numbers.

The greatest side in a right-angled triangle is called the hypotenuse.

So, in our first triplet A(6,8,10) the greatest side is 10. So, hypotenuse = 10.

= [tex]hypotenuse^{2}[/tex] = [tex]10^{2}[/tex] = 100.

Now, [tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 36 + 64 = 100.

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]8^{2}[/tex]

Thus A(6,8,10) is a Pythagorean triplet.

In the second case B(5,12,13) hypotenuse = 13.

= [tex]hypotenuse^{2}[/tex] = [tex]13^{2}[/tex] = 169.

Now, [tex]12^{2}[/tex] + [tex]5^{2}[/tex] = 144 + 25 = 169.

[tex]13^{2}[/tex] = [tex]12^{2}[/tex] + [tex]5^{2}[/tex]

Thus B(5,12,13) is a Pythagorean triplet.

In the Third case C(7,13,15) Hypotenuse = 15.

= [tex]hypotenuse^{2}[/tex] = [tex]15^{2}[/tex] = 225.

Now, [tex]7^{2}[/tex] + [tex]13^{2}[/tex] = 49 + 169 = 218.

[tex]15^{2}[/tex] [tex]\neq[/tex] [tex]7^{2}[/tex] + [tex]13^{2}[/tex]

Thus C(7,13,15) is not a Pythagorean Triplet.

In the last case D(3,4,5) Hypotenuse = 5.

= [tex]hypotenuse^{2}[/tex] = [tex]5^{2}[/tex] = 25.

Now, [tex]3^{2}[/tex] + [tex]4^{2}[/tex] = 9 + 16 = 25.

[tex]5^{2}[/tex] = [tex]3^{2}[/tex] + [tex]4^{2}[/tex]

Thus D(3,4,5) is a Pythagorean triplet.

Therefore our three results A(6,8,10) B(5,12,13) and D(3,4,5) are Pythagorean triplets.

To learn more about Pythagorean Triplet, visit: https://brainly.com/question/30193464

#SPJ4

-2.75x + 7 = -26
Show work

Answers

Answer:

This is a simple algebraic equation, it can be solved by isolating the variable on one side of the equation.

-2.75x + 7 = -26

Add 26 to both sides of the equation:

-2.75x + 33 = 0

Divide both sides by -2.75:

x = -12

So the solution of the equation is x = -12.

Note that x = -12 is the value of x that makes the equation true

Answer:

x = 12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 12

What is the additive inverse of _2 3?

Answers

The inverse additive of 2 3 is -2 3.. This means that when you add the two numbers together, the result is 0.

2 3 + (-2 3)

= (2 x -1) + (3 x -1)

= -2 + (-3)

= -5

= 0

The additive inverse of 2 3 is -2 3. In mathematics, an additive inverse is a number that when added to another number will produce a result of zero. This means that when you add 2 3 and -2 3 together, the result will be 0. To calculate this, we first start by multiplying each number by its opposite sign. So,

2 x -1 = -2 and

3 x -1 = -3.

Then, we add the two numbers together

: -2 + (-3) = -5.

Finally, we simplify the equation to 0. The additive inverse of 2 3 is -2 3, meaning that when added together, the result will be 0.

Learn more about inverse here

https://brainly.com/question/13715269

#SPJ4

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a

Answers

In the function f(x) = a(b^x), the initial value is always a because a is independent on x. So, when x changes, b^x will change as well but a will remain the same.

How to explain the function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. A function is an equation with a single solution for y for each value of x. A function pairs each input of a particular type with exactly one output.

For example, let a = 2, b = 3, and x = 0: f(0) = 2 3^0 = 2 1. If x = 1, then f(1) = 2 3^1 = 2 3. If x = 2, then f(2) = 2 3^2 = 2 9, etc. As you can notice a = 2 remain unchanged as the initial value, because a is independent on x change.

Learn more about functions on:

https://brainly.com/question/10439235

#SPJ1

How much interest will Hannah earn in four years if she deposit $630 in a savings account at 6.5% simple interest?

Answers

Answer:

$93.60

Step-by-step explanation:

Simple interest shows the amount of money an account earns based on the initial deposit.

Interest Formula

The formula to find the amount of interest earned is I = Prt. In this equation, I is the total interest earned, P is the principal or the initial deposit, r is the interest rate as a decimal, and t is the time in years.

To find the total balance of the account just add the interest amount to the principal. So, A = I + P, where A is the total balance.

Solving for Simple Interest

For this question, the variables are:

P = 630r = 0.065t = 4

Now, we can plug these values into our formula.

I = 360 * 0.065 * 4I = 93.6

After 4 years, the account will earn $93.60 in simple interest.

Is 1234 an arithmetic sequence?

Answers

No, 1234 is not an arithmetic sequence. A sequence is a list of numbers, arranged in a specific order.

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is always the same. It is also known as an arithmetic progression.

The sequence 1234 does not have a common difference between its terms. It's just a set of numbers arranged in a specific order, but the difference between the terms is not always the same.

Arithmetic sequence has the general formula of a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the number of the term. The sequence 1234 doesn't follow this formula.

Learn more about Arithmetic Sequence here:

https://brainly.com/question/28354530

#SPJ4

Solve r-4<-6.
The solution of the inequality is
Graph the solution.

Answers

When the inequality is solved, we have r-2. Each side can be multiplied or divided by the identical positive value, added to or subtracted from by the same amount, and more.

Why is there an inequality in a linear equation?

Using inequality characters like "," ">," "," or "," expressions using linear inequalities compare exactly two values. Such values could be algebraic, numerical, or both.

Here,

Linear inequalities: How are they solved

In the first step, solve the equality for y.

Step 2: Sketch the boundaries of the inequality on a graph.

The region that addresses the inequality should be shaded. Step 3. Step four requires you to solve the third inequality for y. In step 5, the boundary line of the second inequality must be graphed. Cover the region that fulfills the second condition.

To know more about inequality visit:-

brainly.com/question/30231190

#SPJ1

Identify the correct way to write this sentence: Uncle Frank bought several new metal posts
to fix the fence in the backyard.
a. Uncle Frank bought several new metal posts to fix the fence in the backyard.
b. Uncle Frank bought several, new metal posts to fix the fence in the backyard.
c. Uncle Frank bought several, new, metal posts to fix the fence in the backyard.

Answers

A sentence must have a singular or plural subject and verb in order to be grammatically correct. To put it another way, the tenses of the subject and verb must match.

Which seven types of sentences are there?

According to their structure and function, sentences can be divided into eight categories: declarative, interrogative, exclamatory, imperative, simple, compound, complex, and compound-complex sentences.

How can I tell what a grammar name is?

You must look at what a grammatical name accomplishes in an English sentence in order to recognise it. Consider: At this morning's assembly, Susan performed a song. You must take into account the work each unit performs in the sentence in order to identify the various units' grammatical names.

To know more about function visit:-

brainly.com/question/12431044

#SPJ1

In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters from the alphabet. How many number plates can be formed if neither the digits nor the letters are repeated?.

Answers

Answer:

47,174,400 possible number plates

See important note at the bottom of the explanation

Step-by-step explanation:

The easiest way to handle a problem of this type is to note the following

There are 9 digits 1-9 that we can use for the first four characters of the license plate

This means that for the first digit there are all 9 possibilitiesFor the second digit, since there is no repetition, there exists only 8 possibilitiesFor the third spot, there are 7 possibilitiesFor the 4th spot there are 6 possibilities

So the number of ways to arrange the first 4 digits without repetition is
9  x 8 x 7 x 6 = 3024 possible ways

For the letters, assuming that we are using the English alphabet, the 5th spot where the first letter after the numbers is can be done in 26 possible ways since there are 26 alphabets.

For the second letter that will leave us with 25 possibilities

For the third and final spot there are 24 possibilities

This means that, without repetition, the letters can be arranged in 26 x 25 x 24 ways = 15,600 ways

Together we can arrange the digits and letters in 3024 x 15600 ways which works out to
3024 x 15600 = 47,174,400 ways or possible number  plates

Or we could simply write this in one step as

9 x 8 x 7 x 6 x 26 x 25 x 24 = 47,174,400 ways or possible number  plates

Note

Even though there are 10 digits 0 - 9, the question clearly states that we should choose from digits 1 through 9 only.

If we are allowed to use all 10 digits the first 4 digits can be put together in 10 x 9 x 8 x 7 = 78,624,000 ways

You should clarify this with your teacher.

If f(x) = 2 + | x-3 | for all x, then the value of the derivative f'(x) at x = 3 is.

Answers

Answer:

Undefined

Step-by-step explanation:

[tex]f(x)=2+|x-3|\\f'(x)=\frac{x-3}{|x-3|}\\f'(3)=\frac{3-3}{|3-3|}=\frac{0}{0}[/tex]

Therefore, the function is not differentiable at x=3

la) The speed of the bus is sodi per hour. How muchett distance does it covering aus minutes. b) 3 hours. e) hairs 30 minutes.​

Answers

a) To determine the distance covered by a bus in a given number of minutes, we can use the formula: distance = speed x time. Since the speed of the bus is given in miles per hour (mph) and we want to know the distance covered in minutes, we need to convert the time to minutes. Therefore, distance = speed x (time in minutes / 60).

b) To determine the distance covered by a bus traveling at sodi mph for 3 hours, we can use the formula: distance = speed x time.

distance = sodi x 3

c) To determine the distance covered by a bus traveling at sodi mph for 30 minutes, we need to convert 30 minutes to hours. Therefore, time = 30/60 = 0.5 hours.

distance = sodi x 0.5

It's important to note that I'm not able to understand the value of "sodi" as it is not a valid unit for speed or distance. Please provide the correct value for sodi.

Other Questions
as julie (age 10), is playing with a ball of play dough she realizes that no matter what she does to it (flatten, cut, make different shapes); it can always go back to its original form (a ball). what is this an example of? buried erosional surfaces between parallel sedimentary strata are termed ________. group of answer choices A. disconformities .B. angular unconformities C. nonconformities D. marker beds How many sides does the regular polygon have? how many times is the fibonacci() function called when given the input 4? do not include the initial function call fibonacci(4). Florida Corporation has two classes of stock: common, $4 par value; and preferred, $25 par value. Requirements 1. Journalize Florida's issuance of 4,500 shares of common stock for $15 per share. 2. Journalize Florida's issuance of 4,500 shares of preferred stock for a total of $112,500. The reaction A+ 3B Products has an initial rate of 0.0345 M/s and the rate law rate-k[A][B]2. What will the initial rate be if (A) is quadrupled and (B) is halved? a) 0.138 M/S. b) 0.0.0345 M/s. c) 0.276 M/S. d) 0,452 M/S. e) 0.069 M/S. How can knowledge of human relations help in the work place A Cisco security appliance can include all the following functions except:a. Intrusion prevention systemb. A routerc. A firewalld. A honeypot 4. calculate the overall theoretical yield for the sequence, p-anisaldehyde to the ethylene ketal.Syn. 1: Aldol Condensation 1.00 g of p-anisaldehyde 10 mL of acetone Syn. 2: Michael Addition 0.800 g of dianisaldehyde (product 1) Syn. 3: Ethylene Ketal Preparation 0.700 g of Michael Addition product [dimethyl-2,6-bis(p-methoxyphenyl)-4-oxocyclohexane-1,1-dicarboxylate] 0.800 mL of dimethylmalonate Syn. 3 product dimethyl-2,6-bis(p-methoxyphenyl)-4,4-ethylenedioxocyclohexane-1,1- dicarboxylate True or false Pro forma financial statements highlight situations in which actual outcomes deviate from projections, which in turn helps managers understand why a firms results are not in alignment with its forecasts? A 0.682-gram sample of an unknown weak monoprotic organic acid, HA, Was dissolved in sufficient water to make 50 milliliters of solution and was titrated with a 0.135-molar NaOH solution. The equivalence point (end point) was reached after the addition of 27.4 milliliters of the 0.135-molar NaOH. (a) Calculate the number of moles of acid in the original sample. (b) Calculate the molecular weight of the acid HA. The variable overhead efficiency variance measures how efficiently variable manufacturing overhead resources were used. True or false? An ethical hacker is ACK-scanning against a network segment he knows is sitting behind a stateful firewall. If a scan packet receives no response, what does that indicate?A. The port is filtered at the firewall.B. The port is not filtered at the firewall.C. The firewall allows the packet, but the device has the port closed.D. It is impossible to determine any port status from this response. A store is giving every customer who enters the store a scratch-off card labeled with numbers from 1 to 12. It is equally likely that any of the numbers from 1 to 12 will be labeled on a given card. If the card is an even number, the customer gets a 20% discount on a purchase. If the card is an odd number greater than 4 , the customer gets a 30% discount. Otherwise, the discount is 15%. Complete parts a and b. consider the following data: equilibrium price = $12, quantity of output produced = 125 units, average total cost = $14, and average variable cost = $9. what will the firm do and why?' During the past 30 years, income inequality in the United States has increased in part due to rapid technological change. How does technological change contribute to income inequality?A.Technology complements the skills of the welleducated while rendering redundant the labor services of unskilled and low skilled workers. This causes a decline in the wages of low and unskilled workers relative to other workers.B. The opportunity cost of investing in technology is investments in human capital. The resulting decrease in labor's marginal productivity has led to lower wages.C.Technological change favors the owners of capital and since highincome individuals tend to own capital, income inequality is further exacerbated.D. Advancements in technology displace skilled and unskilled workers in certain fields, leading to higher unemployment rates. Solve. |7x-20|=|2x+20| Haptics refers to communicating through the use of _____.A. eye contact and gazeB. physical spaceC. bodily contactD. artifacts and charts which of the following plays a critical role in facilitating cultural and legal change? How can the turnover number of an enzyme be determined? a. as Vmax b. when half of the enzyme is occupied with the substratec. by the initial velocity d. when the enzyme is fully saturated e. as [E]T