How many 4-letter code words can be made using the letters in the word pencil if : (a) Repetitions are permitted?

Answers

Answer 1

the answer would be six

Answer 2

Final answer:

The total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.

Explanation:

To determine how many 4-letter code words can be made using the letters in the word 'pencil' with repetitions permitted, we consider that each position in the 4-letter code word can be filled by any of the 6 letters from the word 'pencil'. Therefore, for each position, there are 6 choices.

Using the fundamental counting principle, the total number of possible 4-letter code words given that repetitions are allowed is calculated as follows:

First position: 6 possibilitiesSecond position: 6 possibilitiesThird position: 6 possibilitiesFourth position: 6 possibilities

Thus, the total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.

Related Questions

Sorry me again how do I do this?

Answers

Divide 10 into 50 and you'll get your answer

Please put these in the correct order

Answers

The first tile goes to 4p3q2

The second tile goes to 8pq5

The third tile goes to 4p2q5

The fourth tile goes to 8p2q

Find the sum of 301 + 173 + 427 using mental math and the associative property of addition. Show how you can use the property to group the two of the address. Explain how you found the sum.

Answers

mental math and associative property of addition
i look at 173 and 427 and see that
73+27=100
i add now the 100(from 173)+400(from 427)+100(see above)=600
easy
600+301=901

Sum Using Associative property of addition

A+(B+C)=(A+B)+C=(A+C)+B

→301 + 173 + 427

=301 +(173+427)------Combining 173 and 427 first ,as adding unit digit of both three digit number gives 0.

=301 + 600

=901

⇒Using mental math

Add Hundreds=300+100+400

=800

Add tens=73+27

=100

Ones=1

Combine these three numbers

=800+100+1

=901

complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x

Answers

Assuming you meant y=x^2+2
x | y
-2|6
-1 |3
0 |2
1 |3
2 |6

Table:

| x | y = x^2 + 2 |

|----|-------------|

|-3 | 11 |

|-2 | 6 |

|-1 | 3 |

| 0 | 2 |

| 1 | 3 |

| 2 | 6 |

| 3 | 11 |

let's complete a table for the rule [tex]$ y = x^2 + 2 $[/tex] by plugging in various values of [tex]$ x $[/tex], including negative, positive, and zero, and then calculating the corresponding values of [tex]$ y $[/tex] .

Given the rule [tex]$ y = x^2 + 2 $[/tex], we'll substitute different values of [tex]$ x $[/tex] into the equation and solve for [tex]$ y $[/tex]. Here's a step-by-step process:

1. Choose values for [tex]$ x $[/tex]. Let's pick a range of values, including negative, positive, and zero, to get a good representation of the function.

2. Substitute each chosen value of [tex]$ x $[/tex] into the equation [tex]$ y = x^2 + 2 $[/tex].

3. Calculate the corresponding value of [tex]$ y $[/tex] by performing the arithmetic operations.

4. Record the pairs of [tex]$ x $[/tex] and [tex]$ y $[/tex] values in a table.

Here's the completed table:

| [tex]$ x $ | $ y = x^2 + 2 $[/tex] |

|---------|-----------------|

| -3 | [tex]$ (-3)^2 + 2 = 9 + 2 = 11 $[/tex] |

| -2 | [tex]$ (-2)^2 + 2 = 4 + 2 = 6 $[/tex] |

| -1 | [tex]$ (-1)^2 + 2 = 1 + 2 = 3 $[/tex] |

| 0 | [tex]$ (0)^2 + 2 = 0 + 2 = 2 $[/tex] |

| 1 | [tex]$ (1)^2 + 2 = 1 + 2 = 3 $[/tex] |

| 2 | [tex]$ (2)^2 + 2 = 4 + 2 = 6 $[/tex] |

| 3 | [tex]$ (3)^2 + 2 = 9 + 2 = 11 $[/tex] |

This table shows the relationship between [tex]$ x $[/tex] and [tex]$ y $[/tex] for the given rule [tex]$ y = x^2 + 2 $[/tex], covering a range of values for [tex]$ x $[/tex] including negative, positive, and zero.

What is another way to write 5(n-3)

Answers

5n -15
hope it helps
please mark as brainliest

Another way to write 5(n-3) would be 5n - 15.

A wall in Marcus's bedroom is feet high and feet long. If he paints of the wall blue, how many square feet will be blue?

Answers

Final answer:

To find the square footage of a wall painted blue, you would first calculate the total size of the wall by multiplying the wall's height and length. Then, you would multiply this number by the proportion of the wall you plan to paint blue. This will give you the number of square feet that will be coloured blue.

Explanation:

This question pertains to the mathematical concept of resolving problems involving areas and percentages. Marcus's wall's total area can be calculated by multiplying the wall's length and height. However, since the measurements have not been provided in the question, let's assume their values to be 'L' and 'H' feet respectively. The area of the wall would then be simply H*L square feet.

Now, if Marcus decides to cover a certain percentage of this wall with blue paint, we must determine the total square feet being painted. If the proportion of the wall to be painted is 'P', the blue-painted area is given by H*L*P (P being a decimal representation of the given percent, i.e., 20% would be represented as 0.20).

Therefore, the number of square feet that will be blue is the product of the total wall area and the proportion to be painted blue.

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what is the area of the figure on the coordinate plane below?

Answers

even numbers on die: 2,4,6odd numbers on die: 1,3,5 3+3=6 -> 6 numbers in total3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2

What is the factorization of the trinomial below? x3 - 10x2 + 24x

Answers

Answer:

x³ - 10x² + 24x = x(x² - 10x + 24) =

x(x - 6)(x - 4)

A storage tank has a height of 10 feet and a radius of 3 feet. The tank is 1/4 full of oil. How much oil in cubic feet is currently in the cylindrical tank? Leave in terms of pi

Answers

The amount of oil currently in the cylindrical tank is 45π cubic feet.

What is volume?

Volume is the capacity of a solid object.

To calculate the capacity of the oil in the cylindrical tank, we use the answer below.

Formula:

V = πr²h/4........... Equation 1

Where:

V = The volume of oil in the tankh = Height of the tankr = radius of the tank.

From the question,

Given:

h = 10 feetr = 3 feet

Substitute these values into equation 1

V = π×10×3²/2V = π×5×9V = 45π cubic feet

Hence, the amount of oil currently in the cylindrical tank is 45π cubic feet.

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The volume of oil currently in the cylindrical tank that is 1/4 full is (90/4) cubic feet.

To determine how much oil in cubic feet is currently in the cylindrical tank when the tank is 1/4 full, we use the formula for the volume of a cylinder, V =
2h, where r is the radius and h is the height. In this case, the radius is 3 feet and the height of the oil will be 1/4 of the total height of the tank.

First, calculate the volume of the entire tank:

Vtotal = 2h = 2(10). Plugging in the values we get

Vtotal =
(3)2(10).

Since the tank is 1/4 full, the volume of oil in the tank will be 1/4 of the total volume: Voil = (1/4)Vtotal = (1/4)
(3)2(10) = (9/4)
(10) = (90/4)
.

Therefore, the volume of oil in the tank is (90/4) cubic feet.

Esther wants to know if the number of words on a page in her language arts book is generally more than the number of words on a page in her social studies book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Book Mean Median Mean Absolute Deviation
Language arts 78.5 60 14.2
Social studies 68.7 65 9.8

She claims that because the mean number of words on each page of the language arts book is greater than the mean number of words on each page of the social studies book, the language arts book has more words per page. Based on the data, is this a valid inference?

Yes, because there is a lot of variability in the language arts book data

No, because there is a lot of variability in the language arts book data

Yes, because the mean is larger in the language arts book

No, because the mean is larger in the social studies book

Answers

Answer: The correct answer is "No, because there is a lot of variability in the language arts book data."

The mean of the language arts book is higher than the mean of the social studies book, however, there is a lot of variability in the language arts book. This means that the language arts book could actually be lower than the social studies book. It is not likely but it could happen.

The correct choice is, No, because there is a lot of variability in the language arts book data.

What is Mean?

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

From the given data, it is clear that the mean number of pages of language arts book is greater than that of social studies book.

However, the mean absolute deviation is greater for language arts book and median is lower for language arts book.

This clears the fact that the variability is high for language arts book. So the number of pages could actually be less than that in social studies book.

Hence the correct option is that we cannot say a valid inference because there is a lot of variability in the language arts book data.

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#10 plz explain I did it and got -8 and I know that's wrong

Answers

x+1/-4-4x
Factor out the common term 4
x+1/−4(1+x)
rearrange
1 + x / -4 ( 1 + x)
cancel out 1 + x
1 / -4
rewrite
-1/4
Decimal form -0.25
Hope this helps

What is the solution for the system of equations?

Use the substitution method to solve.

y=5−3x
5x−4y= −3

Enter your answer in the boxes.

Answers

When using the substitution method for a system of equations, one equation should be y = ... or x = ... (if both equations are not in this format you need to make one equation this way).
Once you have an equation in one of these formats, you take the equation and input it into the value of its correspondent of the other equation.
In this case you have y= 5-3x and 5x-4y=-3.
You should have 5x-4(5-3x)=-3.
Note how the first equation is substituted for the y value of the second equation.
Next solve. First distribute, 5x-20+12x=-3. Combine like terms. 17x-20=-3. Separate the variable and constants by adding 20 to both sides.
17x-20+20=-3+20 -> 17x=17. Divide both sides by 17 to get x = 1.
Now we need to find y. Go back to the first equation and input your x value into it and solve. y=5-3(1) -> y=5-3 -> y = 2
You can check your answer by inputting both values into the second equation and solving. 5(1)-4(2)=-3 -> 5-8=-3 -> -3=-3
The answer is (1,2)

Evaluate the expression 5m – 6 for m = 7. 29 41 5 51

Answers

Hi,
So we know that M is 7 so what you should do is this

5x7-6

you need to multiply 5x7

5x7= 35

Now all you need to do is subtract 35 from 6 and you get 29!

When m = 7, the expression 5m - 6 evaluates to 29.

To evaluate the expression 5m - 6 for m = 7, we substitute m with 7:

5m - 6 = 5(7) - 6

Next, we perform the multiplication first:

5(7) = 35

Now we can substitute the value into the expression:

5m - 6 = 35 - 6

Finally, we perform the subtraction:

35 - 6 = 29

Therefore, when m = 7, the expression 5m - 6 evaluates to 29.

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Solve this problem - 35q = 5

Answers

The answer is q = -7. Please make brainliest! ☺

Divide both sides by -35
You get q=-5/35
Which is equal to q=-1/7
The answer is q=-1/7

What is the surface area of the prism

Answers

not 100% sure its been a while. but ill try to explain.

so for the box on the top the sides are 10 and 8. the squares area is 80.

or the triangles, the height is 3 inches and base is 8 inches. so 8x3 is 24. but for triangles you divide by two. so it would be 12 for one triangle resulting in 24 for both of them.

now lets combine the bottom two boxes. each side is 10 because 10 on one side and 5+5 is 10. so 10x10=100.
if we take all the values and add them up well get 204.(80+24+100=204.
have a good day

The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangle. Show all work.

Answers

you can divide 87 by 3 which is 29, so each angle will be 29 degrees.
Since they are consecutive, that means they will all measure the same.

Hope this helps! :)

x = smallest side length
x+1 = midsized side length
x+2 = largest side length

Add up the three sides. Set the sum equal to 87 and then solve for x
(x)+(x+1)+(x+2) = 87
(x+x+x) + (1+2) = 87
3x+3 = 87
3x = 87-3
3x = 84
x = 84/3
x = 28

If x = 28, then
x+1 = 28+1 = 29
x+2 = 28+2 = 30

So the triangle has the three sides: 28, 29, 30
Check: 28+29+30 = 87

Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.

sides 5 inches, 8 inches, and 15 inches
A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined

Answers

A) no triangle
I really hope this helps

Answer:

The answer is no triangle

Step-by-step explanation:

i put this answer on my test and i got it right.

A small business examines the income of 10 random households to determine if the community will be a good location for a store. Four of the households have an income between $30,000 - $55,000. Five of the households have an income between $70,000 - $100,000. One household has an income of over $700,000. Using the data obtained, which measure of central tendency will be greatly over-estimated?
A) mean
B) mode
C) median
D) None of the measures will be greatly over-estimated.

Answers

The answer is............... B

Answer:

mean trust me

Step-by-step explanation:

The tennis team is selling tickets to a car wash for $6.When they do not sell very many tickets,the team decreases the price 25% what is the new cost of the ticket?

Answers

The new cost is $1.50

Answer= $4.50
If they decreased the original price by 25%, then the new tickets are....

100%-25%=75%

75% of the original price.

6*.75=4.5

The new cost of the ticket is $4.50

can you help me with this problem I can't find it out

Answers

He estimates that he will earn $44,800.

12% of 40,000 is 4,800
40,000+4,800=44,800

Money earned last year = $40,000
Money estimated to be earned this year = $40,000 + 12% of $40,000
= $40,000 + (12/100 × $40,000)
= $40,000 + $4,800
= $44,800
Plz mark it brainliest

YOU HAVE TO BE SURE ABOUT YOUR ANSWER BEFORE YOU POST! A slice is made parallel to the base of a right rectangular pyramid, as shown.

What is the area of the resulting two-dimensional cross-section?

Enter your answer in the box.

Answers

The area of the cross section has a length of 3.5 mm, and width of 2 mm, as given in the diagram.

Therefore the area of the section is 3.5*2=7 mm^2, using the area of rectangle formula.

Answer:

[tex]7\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the resulting two-dimensional cross-section is the area of a rectangle

The area of a rectangle is equal to

[tex]A=bh[/tex]

we have

[tex]b=3.5\ mm[/tex]

[tex]h=2\ mm[/tex]

substitute

[tex]A=3.5*2=7\ mm^{2}[/tex]

In a division problem the ____ is the original number, which is being divided by the divisor, to get the quotient.

Answers

The original number in a division problem is called the dividend.

Dividend is divided by the divisor hopes this helps :)

1:2=3:
Find the mising number

Answers

1:2 = 3:6

The second number is double the first.

the answer is
1:2=3:
6

big points+ brainiest

Answers

To get the length, just divide the area, which is 680, by 17, the width.
680 ÷ 17 = 40
The answer is D, 40 feet.
Hope this helps!

a 228

hope this helps

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. 21.5 cm² 78.5 cm² 100 cm² 178.5 cm² Circle inscribed inside a square with outside shaded, one side labeled 10 cm

Answers

To answer this question you will need to find the area of the square, and subtract the area of the circle from it. To find the area of the square you will multiply the length by the width In this case it would be 10×10 = 100 cm². To find the area Of the circle you would use the formula A =equals Pi times the radius squared. Since the diameter of the circle is 10 cm, the radius would be 5 cm. This would be 3.14×5 squared. The value of this is 78.5 cm². 100 cm² -78.5 cm² equals 21.5 cm² which is the answer.

A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?

Answers

0.75a + 0.5p ≥ 250
The first thing you should do in this case is to plot the straight line.
Next, you must evaluate ordered pairs of points in the given inequality to verify that the inequality is met.
The set of points that meet the inequality will be given by the shaded region.
Answer
See attached image.

Answer: Its the Last one

Step-by-step explanation:,,,, HOPE it helps :}

What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda?

1:24
24:1
1:6
6:1

Answers

It has a 6:1 ratio meaning for every 6 cups of apple juice there is 1 cup of lemon-lime soda

I'm 100% sure the answer is D

what point is on the graph of every direct variation equation

Answers

Answer: The point (0,0)
This point is also known as the origin

The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number

If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)

Final answer:

In a direct variation equation, the graph passes through the origin (0,0). Every point on the graph can be represented as (kx, ky), where k is a constant.

Explanation:

In a direct variation equation, the graph passes through the origin (0,0). This means that when x=0, y=0. Every point on the graph can be represented as (kx, ky), where k is a constant. For example, if the direct variation equation is y = 2x, the graph would pass through (0,0), (1,2), (2,4), (3,6), and so on.

convert a 30% markup percent on cost to markup percent on selling price. (round to the nearest hundredth percent)

Answers

40 percent i hope this helps

Answer:

23.08 %

Step-by-step explanation:

Markup price is the difference between the selling price and cost price of an item.

m = Markup = 30

s = Selling price = 130

[tex]\text{Markup percent on selling price}=\frac{m}{s}\times 100\\\Rightarrow \text{Markup percent on selling price}=\frac{30}{130}\times 100\\\Rightarrow \text{Markup percent on selling price}=23.08\ %[/tex]

∴ Markup percent on selling price is 23.08 %

What is the value of y in the equation 2 + y = −3 ?

Answers

the answer is y would equal -5

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