Type your solutions into this document and be sure to show all steps for arriving at your solution. Just giving a final number may not receive full credit. PROBLEM 1 A 125-page document is being printed by five printers. Each page will be printed exactly once. (a) Suppose that there are no restrictions on how many pages a printer can print. How many ways are there for the 125 pages to be assigned to the five printers? One possible combination: printer A prints out pages 2-50, printer B prints out pages 1 and 51-60, printer

Answer: The first and the last answer choice

Step-by-step explanation:

They are equal to 8k=20 because they are the same equation but reduced or increased by the same multiple.

Answer:

it's the first option, 3rd option, and fifth option because the rest of the equation cancels out on them (ex. for the first option, divide each side by 3 that would remove the •3 from each side and leave you with 8k=20)

Answer:

h

Step-by-step explanation:

Answer:

  (c)  {y|y ≥ 1}

Step-by-step explanation:

You want the range of the square root function after it has been translated left 4 units and up 1 unit.

The range of the function is the vertical extent of its graph. The original square root function has a range of y ≥ 0. Translating it up 1 unit gives it a range of ...

  y ≥ 1

Answer:when you're working hard for 4 year graduation and will cost you, 10177.84 for whole 4 year

There are 130 fern samples did the biologist collect.

What is fern and moss samples?

In contrast to ferns, which are vascular plants, mosses are nonvascular primitive plants that produce spores. Furthermore, unlike ferns, which have a plant body that is divided into real stems, leaves, and roots, mosses have none of these features. Ferns also have circinate vernation, which is not true of mosses.

Given:

A biologist collected 326 fern and moss samples. there were 66 fewer ferns than moss samples.

Let, f denotes the number of ferns collected and

m denotes the number of mosses collected

From the given information,

m + f = 326          ..(1)

m - 66 = f            ..(2)

Plug equation (2) in equation (1),

m + m - 66 = 326

           2m = 326 + 66

           2m = 392

             m = 196

Plug m = 196 in equation (2),

f = 196 - 66

f = 130

Hence, there are 130 fern samples did the biologist collect.

To know more about fern and mosses, click on the link

https://brainly.com/question/14884573

#SPJ4

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

The basic counting concept is a method for keeping track of all the potential outcomes in a scenario. It indicates that there are nm methods to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.

Here,

Since I don't know anything about NCAA's March Madness, I'll assume that you're talking about a 64-team single-elimination tournament.

In the first round, there are 32 games, each with 2 possible outcomes. This provides for a total of 2^32 possibilities.

In the next round, there are only 16 games, again each with 2 possible outcomes, for a total of 2^16 possibilities.

You keep going, eliminating half of the players each round and taking half as long as the previous round to play the games out, until the finals, at which point there is 1 game with 2 possible outcomes.

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

To know more about counting principle,

https://brainly.com/question/28384306

#SPJ4

The constant of proportionality of the given table is k = 2.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the constant of proportionality between the variable x and y can be written as y = kx, where k is the constant of proportionality.

From the table when x = 2, y = 4.

∴ 4 = 2k.

k = 2.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

The value is less than 0.01

What is Null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Explanation:

             [tex]Grand \ mean = \frac{30+45+36}{3} \\\\Grand \ mean = \frac{111}{3} \\\\Grand \ mean = 37[/tex]

TrSS = 5(30-37)²+5(45-37)²+5(36-37)²

TrSS = 570

SSE = (5-1)6²+(5-1)4²+(5-1)(6-5)²

SSE = 66

[tex]HST_{r} = SST_{s}[/tex]

according to given question p value is less than 0.00001 point. Therefore, The value is less than 0.01.

To know more about Null Hypothesis visit,

https://brainly.com/question/25263462

#SPJ4

Answer:

According to graph calculators online, there is no solution to this equation.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 2 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

In an electrical system, components of categories I and II have a life expectancy measured in hundreds of hours, respectively. The probability of finding the combined density of Y1 and Y2 is equal to e^(−2).

The components of type I and type II, respectively, have random life spans denoted by the letters Y1 and Y2, respectively. Given by is the joint density function (Measurements are in hundreds of hours.)

Probability P(Y1 > 1, Y2 > 1) = ∫2¹∫1¹ (1/2)e^(−x−y) dx dy = e^(−2).

Learn more about probability here

https://brainly.com/question/12226830

#SPJ4

The equation form as per the statement in the question will be y = -200x - 2000.

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

They spent $2,000 therefore that would be -2,000, and they make $200 per month selling brownies.

So simply add -2,000 each time on the chart under "Income made," and the final amount should be 600.

So, the equation will be,

y = -200x - 2000.

To know more about Equation:

https://brainly.com/question/29657983

#SPJ1

Answer:

the length of the gym will be 80 feet

Step-by-step explanation:

68.18% is the right answer

The most economical length of the paper is 9 inches and width is 6 inches.

What is a derivative of a function?

The derivative of a function of a single variable at a chosen input value. It is the rate of change of a function with respect to a variable.

Let us consider,

Width of the printed part, in inches be 'x'

height of the printed part, in inches be 'y'

According to question,

Area of the printed part, in square inches = xy = 24

So,

y=24/x

width of the page, in inches = x + 2×1 = x+2

height of the page, in inches = y + 2×1.5 = y + 3

The area of the page (in square inches) is , A

= (x+2) (y+3)

= xy + 3x + 2y + 6

= 24 + 3x + 2y + 6

= 3x + 2y + 30

= 3x + 2×24/x + 30

= 3x + 48/x + 30

The minimum length can be found by calculating the derivative dA/dx, where A is the area of the paper

Solving the equation for dA/dx=0,

[tex] \frac{dA}{dx} = \frac{d(3x + \frac{48}{x} + 30)}{dx} [/tex]

[tex] \frac{dA}{dx} = 3 + \frac{48}{ {x}^{2} } [/tex]

[tex]\frac{dA}{dx} = 3 + \frac{48}{ {x}^{2} } = 0[/tex]

[tex]3 + \frac{48}{ {x}^{2} } = 0[/tex]

x = 4

then,

y = 24/4 = 6

The width and height of the paper are

x+2=4+2=6 and

y+3=6+3 =9

The dimensions of the page, so that the least amount of paper is used must be 6 inches wide by 9 inches tall.

Hence, the most economical length of the paper is 9 inches and the width is 6 inches.

Read more about derivation at

https://brainly.com/question/954654

#SPJ4

The number of bars of soap that the soap maker ship to the store is 90.

From the information, the soap maker wants to ship as many bars of soap as she can to a store. Each bar of soap weighs 1/5 pound.

Since the box that she will use to ship the soap can hold a maximum of 18 pounds of soap. The number of soaps will be:

= 18 ÷ 1/5

= 18 × 5

= 90

The number of soaps is 90.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

5.152 L volume will it occupy at STP.

What is ideal gas law?

The equation of state for an ideal gas, in theory, is known as the ideal gas law. Even though it has a number of shortcomings, it provides a good approximation of the behavior of several gases under various circumstances. Theoretical point particles that move randomly and only collide in elastic ways make up an ideal gas.

Using the ideal gas equation PV=nRT, where n is the number of moles, it is possible to determine the volume that will be present at STP as follows.

n= PV/RT

p=0.974 atm

V=6.0  L

R = 0.0821  L.atm/k.mol

T=  35 +273= 308k

n=  (0.974 atm  x  6.0 L)/( 0.0821 L.atm/k.mol  x 308 k)=  0.178 moles

STP  1 mole=  22.4 L  what obout  0.23 moles

=22.4  x0.178moles/ 1moles =5.152 L

Hence, 5.152 L volume will it occupy at STP

Learn more about ideal gas law, by the following link

https://brainly.com/question/9779722

#SPJ4

Answer:

1. 918

2. 2880

3. 2678

4. 22554

5. 66014

6. 44208

In the expression given as -5 - (-7) = -5 + x, the value of x is 7.

In Mathematics, expression simply means the mathematical statements which have at least two terms which are then related by an operator. It should be noted that they illustrate the relationship between the data given.

In this situation, it should be noted that the expression is given as:

-5 - (-7) = -5 + x

Collect like terms

-5 + 7 = -5 + x

x = -5 + 5 + 7

x = 7

The value of x is 7.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

Yes

Step-by-step explanation:

x = 0 is a vertical line. It's the y-axis.

y = 3 is a horizontal line.

x = 0 and y = 3 are perpendicular lines because they intersect

Answer:

Step-by-step explanation:

Yes, you can figure it out by drawing it out. Unfortunately, you can't compare slopes in this case as vertical lines are undefined.

One pipe takes 6 hours to fill the pool and the other takes 12 hours.

Pipe A fills 1/x of the pool per hour, and Pipe B fills 1/y of the pool per hour. In other words, A takes x hours to fill the pool and B takes y hours to fill the pool.

Together, they fill 1/x + 1/y of the pool per hour. So, 4 hours times that rate should equal 1 full pool, since together they take 4 hours to fill the pool. That gives you your first equation:

4(1/x + 1/y) = 1

You're also told that if one pipe fills half the pool and the other takes over to fill the rest, it will take 9 hours. We don't know how long Pipe A works, so call that number of hours t. Pipe B must work for 9 - t hours.

So, Pipe A, working for t hours, fills half the pool:

t(1/x) = 1/2

And Pipe B, working for 9 - t hours, fills half the pool:

(9-t)(1/y) = 1/2

You now have a system of three equations (because this is an exceptionally complicated pipe-filling-pool problem):

4(1/x + 1/y) = 1

t(1/x) = 1/2

(9-t)(1/y) = 1/2

Solve for t in that second equation, then plug it into the third equation:

t(1/x) = 1/2

t = x(1/2)

t = x/2

(9 - x/2)(1/y) = 1/2

Now you've got a system of two equations:

4(1/x + 1/y) = 1

(9 - x/2)(1/y) = 1/2

Solve for y in the second equation, then plug that into the first equation:

(9 - x/2)(1/y) = 1/2

(9 - x/2) = y(1/2)

2(9 - x/2) = y

18 - x = y    (this is a really nice-looking form of that equation; we'll use it again later)

4(1/x + 1/y) = 1

4(1/x + 1/(18-x)) = 1

4/x + 4/(18-x) = 1

(4(18-x))/(x(18-x)) + (4x)/(x(18-x)) = 1

(4(18-x) + 4x)/(x(18-x)) = 1

4(18-x) + 4x = x(18-x)

72 - 4x + 4x = 18x - x2

72 = 18x - x2

x2 - 18x + 72 = 0

(x - 6)(x - 12) = 0

x - 6 = 0    OR    x - 12 = 0

x = 6   OR    x = 12

So, Pipe A takes either x = 6 or x = 12 hours to fill the pool alone.

When Pipe A takes 6 hours to fill the pool, Pipe B takes 12. When Pipe A takes 12 hours to fill the pool, Pipe B takes 6.

These cases are equivalent, since the original problem makes no distinction between the pipes.

Hence, one pipe takes 6 hours to fill the pool and the other takes 12 hours.

To know more about equations check the below link:

https://brainly.com/question/22688504

#SPJ4

Hello!

To expand:

 ==> we must multiply each variable with each other

  [tex](x+2)(x+1)=x*x+x*1+2*x+2*1=x^2+x+2x+2=x^2+3x+2[/tex]

Thus: when (x+2)(x+1) is expanded and simplified

 ==> [tex]x^2+3x+2[/tex]

Answer:

Step-by-step explanation: First we will expand so

x times x = x^2

x times 1 = x ( don’t need to put 1 in front)

2 times x is = 2x

2 times 1 = 2

Now we line them all up and look out if there are any like terms.

x^2 + x + 2x + 2 = x^2 +3x + 2

y - 9 = 1(x - 15) is the required equation for the tangent.

Equations come in two varieties: identities and conditional equations.

All possible values of the variables result in an identity.

Only certain combinations of the variables' values make a conditional equation true.

Two expressions joined by the equals symbol ("=") form an equation.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the value of the variable x is 7.

So, the equation of the tangent is:

First, with respect to t, differentiate the function as follows:

dx/dt = d(9t² + 6)/dt

dx/dt = 18t

Like this, we have:

dy/dt = d(6t³ + 3)/dt

dy/dt = 18t²

Now, we will obtain:
dy/dx = 18t²/18t

dy/dx = t

We know that (15, 9) occurs on the curve, so we got:

d(9t² + 6)/dt and d(6t³ + 3)/dt ⇒ t = ±1 and t = 1 ⇒ t = 1

So, (15, 9) is the slope.

y - 9 = 1(x - 15) is the equation of the tangent.

Therefore, y - 9 = 1(x - 15) is the required equation for the tangent.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Correct question:
Find the equations of the tangents to the curve x = 9t2 + 6, y = 6t3 + 3 that passes through the point (15, 9).

The required percent of the total profit was not brought in by the sales department is 33%.

Simple Interest (S.I.) is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes a credit of Rs. 5000, at a pace of 10 p.a. for a considerable length of time, the individual's advantage for quite some time will be S.I. on the acquired cash.

profit amount = $1196.7

Amount used in sales =  $798.9

Amount was not used in sales = $1196.7 - $798.9 = $397.8

Now, then approximately percent of the total profit was not brought in by the sales department.

($397.8/$1196.7) × 100 = 33%

To know more about percentage visit:

brainly.com/question/29306119

#SPJ4

Answer25

Week good :

Step-by-step explanation:

Answer:

x = 2, y = 2

Step-by-step explanation:

Looking at the equations,

x + 4y = 10

2x + 8y = 20

If x = 2, and y = 0 then it would look something like this:

2 + (4×2) = 10

Let's apply that to the next equation:

(2×2) + (8×2) = 20

In conclusion, x = 2, y = 2

The sampling process used on dollar street is stratified sampling.

Given,

Use of dollar street;

Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.

Here,

Stratified sampling;

To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.

Therefore,

Stratified sampling is used in dollar street for sampling process.

Learn more about stratified sampling here;

https://brainly.com/question/20544692

#SPJ4

The quotient of 7.81 × 10⁶ and 7.1 × 10³ expressed in scientific notation is approximately 1.10 × 10³.

To find the quotient of 7.81 × 10⁶ and 7.1 × 10³ expressed in scientific notation, we can perform the division first and then convert the result into scientific notation.

Step 1: Perform the division: (7.81 × 10⁶) ÷ (7.1 × 10³)

Step 2: Divide the numerical values: 7.81 ÷ 7.1 = 1.09859155 (approximately)

Step 3: Divide the exponents of the powers of 10: 10⁶ ÷ 10³ = 10³ (since 6 - 3 = 3)

Step 4: 1.09859155 × 10³

Step 5: Adjust the result to be in scientific notation format: 1.09859155 × 10³ ≈ 1.10 × 10³

To learn more about the division;

https://brainly.com/question/13263114

#SPJ12

The complete question:

What is the quotient of 7.81 × 10⁶ and 7.1 × 10³ expressed in scientific notation?

The summation is Σ(xᵢ-4)², i=1,2,3...

What is summation ?

When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total. Functions, vectors, matrices, polynomials, and, generally, any sort of mathematical object on which an operation labelled "+" is defined can all be added together, in addition to numbers.

Series are summations of infinite sequences. They are related to the idea of limit but are not covered in this article.

Let x serve as the definition of a score.

Each score will be xi, i.e. x1, x2, x3, x4... for the first four consecutive scores, and so on.

By deducting 4 from each score, you get xi-4.

Squaring the Resulting Value = (xi-4)²

The sum of the squared numbers is equal to (xi-4)²

where i=1, 2, 3.

Σ(xᵢ-4), The set of instructions written in summation notation is 2.

Learn more about summation, by the following link.

https://brainly.com/question/542712

#SPJ4

Σ(xᵢ-4)² is the set of instruction expressed in summation notation.

What is Summation Notation?

The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.

Let a score be defined by x,

Each score will be xᵢ i.e. x₁, x₂, x₃, x₄... for the first four consecutive scores and so on.

Subtracting 4 from each score = xᵢ-4

Squaring the Resulting Value = (xᵢ-4)²

The sum of the squared numbers = Σ(xᵢ-4)², i=1,2,3...

Σ(xᵢ-4)² is the set of instruction expressed in summation notation.

To know more about summation notation visit,

https://brainly.com/question/26243301

#SPJ4

Answer:

Amara

Step-by-step explanation:

You can find mean by adding the total number of texts sent by each person and dividing it by the number of days.

In this case, the mean of Amara's texts sent is 6.714...

The mean of Marquis' texts sent is 9.428...

Therefore, Amara has the smaller mean.