Type the integer that makes the followings addition sentence true

_ + (-8) = -2


Answers

Answer 1

Answer:

-10+(-8)=-2

Step-by-step explanation:

because if you have -10 and subtract -8 you get -2


Related Questions

or Jake is admiring a statue in Cedarburg Park from 8 meters away. If the distance between the top of the statue to Jake's head is 10 meters, how much taller is the statue than Jake?

Answers

Answer:

Step-by-step explanation:
Jake
is 5 feet tall. The distance from the flagpole to Jake is 28 feet and the distance between the tip of the shadows and jake is 7 feet.

What's the length of an arc with a central angle of 100° and a radius of 2 inches?

What's the length of an arc with a central angle of 100 and a radius of 2 inches?

Answers

Answer:

3.49 inches

Step-by-step explanation:

circumference = 2(2)(π) = 12.56 inches

(100/360)(12.56) = 3.49 inches

the dimensions of a rectangular crate are 4 feet 6 feet and 8 feet. what is the volume?

Answers

Answer:

192

Step-by-step explanation:

Volume=l×w×h

V=4×6×8

V=192

the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to

Answers

I am sorry but I do not know but if someone else know help

Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately.

Answers

Answer: Create a New Text Document, Microsoft Word ,Microsoft Excel , Microsoft PowerPoint

What is PowerPoint ?

PowerPoint is a presentation software developed by Microsoft that enables users to create professional-looking slideshows, presentations, and other multimedia content. It provides users with a wide range of tools and features to help create engaging presentations that can be used in a variety of ways, such as to present information to an audience, to teach lessons, or to share ideas. PowerPoint also enables users to add animations, transition effects, and other special effects to slides, as well as to create interactive content. PowerPoint is a powerful, user-friendly program that helps to bring presentations to life.

Step-by-step explanation:

18% of all students in a school play baseball, 32% of all students play soccer. The probability that a student plays baseball given that the student plays soccer is 22%. Calculate the probability that a student plays either baseball or soccer.

Answers

The probability that a student plays either baseball or soccer is 0.4296 (or 42.96%).This is the long answer.

Percentage of students that play baseball = 18%Percentage of students that play soccer = 32%Probability of a student playing baseball given that the student plays soccer = 22%We need to find the probability that a student plays either baseball or soccer (or both).Let the probability of a student playing baseball be P(B)Let the probability of a student playing soccer be P(S)Using the formula of conditional probability:P(B|S) = P(B ∩ S) / P(S)Where P(B ∩ S) is the probability that a student plays both baseball and soccerP(B ∩ S) = P(B) + P(S) - P(B ∪ S) (Using the formula of probability of the union of two events)Where P(B ∪ S) is the probability that a student plays either baseball or soccer or bothP(B ∪ S) = P(B) + P(S) - P(B ∩ S)Now substituting the values in the formula:P(B|S) = P(B ∩ S) / P(S) => 0.22 = P(B) + P(S) - P(B ∪ S) / 0.32

Now we need to calculate the probability that a student plays either baseball or soccer or both. Using the formula of probability of the union of two events. P(B ∪ S) = P(B) + P(S) - P(B ∩ S)We know :P(B) = 0.18P(S) = 0.32We need to calculate P(B ∩ S) which can be calculated as follows :P(B|S) = P(B ∩ S) / P(S)0.22 = P(B ∩ S) / 0.32 => P(B ∩ S) = 0.22 x 0.32 = 0.0704Now substituting the values in the formula :P(B ∪ S) = P(B) + P(S) - P(B ∩ S)P(B ∪ S) = 0.18 + 0.32 - 0.0704 = 0.4296

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jan created a garden that was 8.5 yards long and 5.95 yards wide. what is the difference between the length and width of the garden

Answers

The difference between the length and width of the garden is 2.55 yards.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that jan created a garden that was 8.5 yards long and 5.95 yards wide.

Length=8.5 yards

Width=5.95 yards.

We need to find the difference between the length and width of the garden.

8.5-5.95

Eight point five minus five point nine five

2.55

Hence,  the difference between the length and width of the garden is 2.55 yards.

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pleaseeeee i need help before school tomorrow thanks :)

pleaseeeee i need help before school tomorrow thanks :)
pleaseeeee i need help before school tomorrow thanks :)

Answers

Answer:

You need to know that not a cheat

Mary worked a total of 16 12 hours during 5 days of the past week. What was her average work day?Please,

Answers

Since Mary worked 16 1/2 hours in 5 days

Then to find her average in a day, we will divide the total hours by the number of days.

\(\text{Ave}=\frac{16\frac{1}{2}}{5}\)

We will change the mixed number 6 1/2 to an improper fraction

\(\begin{gathered} \text{Ave}=\frac{\frac{16\times2+1}{2}}{5} \\ \text{Ave}=\frac{\frac{33}{2}}{5} \\ \text{Ave}=\frac{33}{5\times2} \\ \text{Ave}=\frac{33}{10} \end{gathered}\)

Then her average is 33/10 hour per day

We can change it to a mixed number

\(\text{Ave}\mathrm{}=3\frac{3}{10}\)

Her average is 3 3/10 hours per day

Since 1 hour = 60 min, then change the fraction 3/10 to minutes

\(\frac{3}{10}\times60=3\times6=18\min \)

Then her average is 3 hours 18 min per day

Electronic encyclopedias are characterized by fast and easy search for information true or false

Answers

True, electronic encyclopedias are characterized by fast and easy search for information.

Are electronic encyclopedias known for their quick and effortless information retrieval?

It is true that electronic encyclopedias are characterized by fast and easy search capabilities. Unlike traditional print encyclopedias, electronic encyclopedias provide users with the convenience of instant access to vast amounts of information at their fingertips. With just a few clicks or keystrokes, users can search for specific topics or keywords and retrieve relevant information quickly.

Electronic encyclopedias often have search functionalities, indexes, and hyperlinks that enhance the ease and speed of information retrieval. Additionally, they may offer advanced features such as cross-references, multimedia content, and regular updates, further enriching the user experience.

Overall, the digital nature of electronic encyclopedias enables efficient and effortless searching, making them valuable resources for obtaining information.

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Question 1 (Worth 2 points)

(Experimental Probability MC)

In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 9 is 6 over 36. Predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.

24

12

9

6

Points earned on this question: 0

Question 2 (Worth 2 points)

(Experimental Probability MC)

The table shows the results of tossing a number cube 50 times.


Outcome Frequency
1 9
2 11
3 8
4 6
5 9
6 7

Determine the experimental probability of landing on a number greater than 4.
P(> 4) = 0.04

P(> 4) = 0.12

P(> 4) = 0.32

P(> 4) = 0.56

Points earned on this question: 0

Question 3 (Worth 2 points)

(Experimental Probability MC)

A spinner is divided into three equal parts A, B, and C. The repeated experiment of spinning the spinner twice is simulated 125 times. A table of outcomes is shown.


Outcome Frequency
A, A 15
A, B 12
A, C 10
B, A 18
B, B 15
B, C 17
C, A 11
C, B 13
C, C 14

Based on the table, for what probability can you expect the spinner to not land on B?
0.10

0.33

0.40

0.66

Points earned on this question: 2

Question 4 (Worth 2 points)

(Experimental Probability MC)

An experiment is conducted with a bag of marbles containing 5 white and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.


Outcome Frequency
White, White 27
White, Blue 22
Blue, Blue 18
Blue, White 33

Find P(1 blue).
33 over 100

50 over 100

55 over 100

73 over 100

Points earned on this question: 0

Question 5 (Worth 2 points)

(Experimental Probability MC)

There is an equal amount of yellow, blue, green, and red marbles in a bag of 32 marbles. If Ed draws 4 marbles out of the bag with replacement, predict how many of the 4 marbles drawn should be blue.

1

4

8

32

Points earned on this question: 2

Question 6 (Worth 2 points)

(Experimental Probability MC)

Using a standard deck of 52 cards, Lisa drew a card, recorded the suit of the card picked, then replaced it back in the deck. She continued this for a total of 40 draws. The table shows the frequency of each type of card drawn.


Diamonds Spades Hearts Clubs
7 11 9 13

Determine the experimental probability of not selecting a diamond.
P(not diamond) = 82.5%

P(not diamond) = 72.5%

P(not diamond) = 10%

P(not diamond) = 7%

Points earned on this question: 2

Question 7 (Worth 2 points)

(Experimental Probability MC)

Carrie flipped a fair coin twice 240 times and recorded the results in the table.


Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails
Frequency 60 73 63 44

If the coin is flipped 240 times, determine P(tails, heads).
50%

44.6%

26.3%

25%

Points earned on this question: 2

Answers

1. The expected number of times the rolls will result in a sum greater than 9 is 24, so correct option is A. 2.  P(>4) = 0.32 3. the answer is 0.55 4. the answer is 0.55 5. 1,  6. P(not diamond) = 0.825. 7. 26.3%.

Describe probability ?

The underlying idea of probability is applied in many disciplines to estimate the possibility of an event. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. For instance, there are two possible outcomes when flipping a fair coin, and one of them is heads, hence the chance of receiving heads is 0.5.

The probability of an occurrence is often estimated by dividing the total number of outcomes by the number of alternative ways the event could occur. The likelihood of selecting a red ball at random, for instance, is 4/10, or 0.4, if a bag includes 4 red balls and 6 blue balls.

Question 1:

The theoretical probability of both rolls equaling a sum greater than 9 is 6/36 or 1/6.

If the experiment is repeated 144 times, the expected number of times the rolls will result in a sum greater than 9 is:

(1/6) x 144 = 24

Therefore, the answer is 24.

Question 2:

The experimental probability of landing on a number greater than 4 is the sum of the frequencies of rolling a 5 or 6, divided by the total number of trials:

P(>4) = (9 + 7) / 50 = 0.32

Therefore, the answer is P(>4) = 0.32.

Question 3:

To find the probability of the spinner not landing on B, we can add up the frequencies of all outcomes that do not include B, and divide by the total number of trials:

P(not B) = (15 + 10 + 18 + 11 + 14) / 125 = 0.68

Since we want the probability of the spinner landing on something other than B, we subtract this from 1:

P(not landing on B) = 1 - P(B) = 1 - (15 + 17 + 13) / 125 = 1 - 0.45 = 0.55

Therefore, the answer is 0.55.

Question 4:

To find the probability of drawing 1 blue marble, we can add up the frequencies of outcomes that include one blue marble and one white marble, and divide by the total number of trials:

P(1 blue) = (22 + 33) / 100 = 0.55

Therefore, the answer is 0.55.

Question 5:

Since there are an equal number of yellow, blue, green, and red marbles, the probability of drawing a blue marble is 1/4.

If Ed draws 4 marbles with replacement, the number of blue marbles he can expect to draw is:

4 x 1/4 = 1

Therefore, the answer is 1.

Question 6:

The experimental probability of not selecting a diamond is the sum of the frequencies of selecting spades, hearts, and clubs, divided by the total number of draws:

P(not diamond) = (11 + 9 + 13) / 40 = 0.825

Therefore, the answer is P(not diamond) = 0.825.

Question 7:

The probability of flipping tails and then heads is the frequency of that outcome divided by the total number of trials:

P(tails, heads) = 63 / 240 = 0.2625

Therefore, the answer is P(tails, heads) = 0.2625, which is closest to 26.3%.

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If the correlation between variables is 0.70, what percent of the variance is shared variance? a. 70%. b. 30%. c. 49%. d. 51%.

Answers

The correct answer is c. 49%.

To calculate the shared variance, we need to square the correlation coefficient.
0.70 squared = 0.49
This means that 49% of the variance is shared variance between the two variables. Therefore, option c is the correct answer.

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If the correlation between variables is 0.70, what percent of the variance is shared varianceis c. 49%.

When the correlation between two variables is 0.70, it means that 49% of the variance is shared variance. This is because the correlation coefficient represents the strength and direction of the linear relationship between two variables, and the coefficient of edterminationd (r-squared) is the proportion of the variance in one variable that can be explained by the variance in the other variable. In this case, the r-squared is 0.70^2, which equals 0.49 or 49%.

Therefore, the answer to the question is that 49% of the variance is shared variance when the correlation between variables is 0.70.


The correct option is c. 49%.

To find the shared variance (also known as the coefficient of determination) between two variables, you need to square the correlation coefficient. In this case, the correlation coefficient is 0.70. When you square 0.70 (0.70 * 0.70), you get 0.49, which represents 49% shared variance.

If the correlation between variables is 0.70, the percent of the variance that is shared variance is 49%.

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Amy sold Girl Scout Cookies and collected $444. She sold twice as many boxes of Shortbread cookies as Chocolate Chunk cookies. She sold 15 more boxes of Peanut Butter cookies than Shortbread cookies. A box of Shortbread cookies costs $3, a box of Chocolate Chunk cookies costs $4.50, and a box of Peanut Butter cookies costs $5. How many boxes did she sell of each type of cookie?

Answers

By solving equations, she sold 36 shortbread cookies, 18 chocolate chunk cookies and 51 peanut butter cookies.

How can an equation be solved?

A mathematical expression known as an equation consists of two or more variables and integers that are connected by mathematical operations like exponents, multiplication, division, addition, subtraction, and so on.

Let x denote the quantity of shortbread, y the quantity of chocolate chunk cookies, and z the quantity of peanut butter cookies.

Compared to a box of Chocolate Chunk cookies, a box of Shortbread cookies costs $3. Amy earned $444 from selling Girl Scout Cookies; consequently:

3x + 4.5y + 5z = 444    (1)

Also, She sold twice as many boxes of Shortbread cookies as Chocolate Chunk cookies, hence:

x = 2y   (2)

and She sold 15 more boxes of Peanut Butter cookies than Shortbread cookies. Hence:

z = 15 + x   (3)

From the three equations:

x = 36, y = 18, z = 51

Therefore, She sold 36 shortbread cookies.

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80 PTS!!Two vertices of a right triangle have coordinates (6,-2) and (1,6).

Select EACH ordered pair that could be the coordinates of the third vertex.

[](1,1)
[](6,6)
[](-2,1)
[](1,-2)

Answers

Answer:

(6, 6) and (1, -2)

Step-by-step explanation:

Let the given points represent the vertices of the hypotenuse.

Then the parallel lines to each coordinate axis will have intersection at other vertices.

The vertices will be the combination of (x₁, y₂) or  (x₂, y₁) of the given ordered pairs:

(6, 6) and (1, -2)

See the attached to be more clear.

80 PTS!!Two vertices of a right triangle have coordinates (6,-2) and (1,6). Select EACH ordered pair

If y = -5x - 8, choose all the solutions.

Answers

Can we see the whole question

A.Find the values for j and k

B.Write an equation for f(x)

A.Find the values for j and kB.Write an equation for f(x)

Answers

well, let's move like the crab, backwards, let's start with b), then we'll do a)

b)

\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)

\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)

a)

\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)

triangle angle sum theorem
what is the value of v?

triangle angle sum theorem what is the value of v?

Answers

Answer:

17 is answer

Step-by-step explanation:

hope it helps

3. you are constructing a 480 cubic feet box. the bottom of the container costs $5 per square foot to construct whereas the top and sides cost $3 per square foot to construct. use lagrange multipliers to find the minimum cost. show work.

Answers

To use Lagrange multipliers, we first need to set up our objective function and constraint equation. Constructing a box with dimensions 12x12x6 feet will minimize the cost of construction.

Our objective is to minimize the cost of constructing the box, which is equal to:

C = 5xy + 2(3xy + 3xz + 3yz)

where x, y, and z are the dimensions of the box, and we have broken up the cost into the bottom and sides/top respectively. Our constraint is that the volume of the box must be 480 cubic feet, so:

xyz = 480

To use Lagrange multipliers, we set up the following equation:

∇C = λ∇(xyz)

where ∇C is the gradient of our objective function, ∇(xyz) is the gradient of our constraint equation, and λ is our Lagrange multiplier.

Taking the partial derivatives of our objective and constraint functions, we get:

∇C = (5y, 5x, 6x + 6y)
∇(xyz) = (yz, xz, xy)

Setting these equal and solving for λ, we get:

5y / yz = 5x / xz = (6x + 6y) / xy = λ

Simplifying, we get:

x = y = 2z

Substituting this into our constraint equation, we get:

4z^3 = 480

z = 6

Substituting this back into our dimensions, we get:

x = y = 12

So the minimum cost of constructing the box is:

C = 5(12)(12) + 2(3(12)(12) + 3(12)(6) + 3(12)(6)) = $1,296

Therefore, constructing a box with dimensions 12x12x6 feet will minimize the cost of construction.


To find the minimum cost for constructing a 480 cubic feet box with the bottom costing $5 per square foot and the top and sides costing $3 per square foot, we can use Lagrange multipliers. Let the dimensions of the box be length (x), width (y), and height (z).

First, we need to define the constraint function:
G(x, y, z) = xyz - 480 (the volume constraint)

Next, define the cost function:
C(x, y, z) = 5xy + 3(xz + yz + xy) (cost of bottom + cost of top and sides)

Now, we use the Lagrange multiplier λ and set the gradient of the cost function equal to the gradient of the constraint function multiplied by λ:
∇C(x, y, z) = λ∇G(x, y, z)

This results in a system of equations:

5y + 3z + 3y = λy
5x + 3z + 3x = λx
3x + 3y = λz

We also have the constraint equation:
xyz = 480

Solve this system of equations to find the optimal dimensions x, y, and z. Then, plug these dimensions into the cost function C(x, y, z) to find the minimum cost for constructing the 480 cubic feet box.

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In a poll, 75% of students voted for the Chiefs to win the Super Bowl. There are 280 students total. How many students voted for the Chiefs to win?

Answers

Answer:

210 students

Step-by-step explanation:

We want to find 75% of 280, which means we want to find 75 out of every 100 students who voted. We can do this by multiplying 280 by 75% (or 0.75).

280 x 0.75 = 210

So, 210 students voted for the Chiefs to win the Super Bowl.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Answer:

Step-by-step explanation:

75% = .75

280 x .75 =210

Answer = 210

what is the percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling?

Answers

The percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling depends on the specific circumstances and cannot be determined without evaluating the model's predictions on the oversampled data set.

The percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling cannot be determined without specific information about the data set, the model, and the results of applying the model.

Oversampling is a technique used to address class imbalance in a dataset, where the minority class (in this case, fraudulent responses) is underrepresented compared to the majority class. By generating additional samples of the minority class, the data set becomes more balanced.

The actual class 1 response rate after applying the model to the oversampled data set will depend on various factors, such as the performance of the model, the quality of the oversampling technique, the characteristics of the data, and the prevalence of fraudulent responses in the original data set.

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if you select a dvd at random, then select another at random (while keeping the first in your hand), what is the probability that both will be harry potter films?

Answers

The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

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If z = 2x2 - 3y with u = x2 siny and v= 2y cosx, determine expressions for dz/du and dz/dv

Answers

The expressions for dz/du and dz/dv are as follows:

dz/du = 4x siny

dz/dv = -6y cosx

To find the expressions for dz/du and dz/dv, we need to differentiate the given function z = 2x^2 - 3y with respect to u and v, respectively.

1. dz/du:

Since u = x^2 siny, we can express z in terms of u by substituting x^2 siny for u in the original function:

z = 2u - 3y

Now, we differentiate z with respect to u while treating y as a constant:

dz/du = d/dx (2u - 3y)

      = 2(d/dx (x^2 siny)) - 0 (since y is constant)

      = 2(2x siny)

      = 4x siny

Therefore, dz/du = 4x siny.

2. dz/dv:

Similarly, we express z in terms of v by substituting 2y cosx for v in the original function:

z = 2x^2 - 3v

Now, we differentiate z with respect to v while treating x as a constant:

dz/dv = d/dy (2x^2 - 3v)

      = 0 (since x^2 is constant) - 3(d/dy (2y cosx))

      = -6y cosx

Therefore, dz/dv = -6y cosx.

In summary, the expressions for dz/du and dz/dv are dz/du = 4x siny and dz/dv = -6y cosx, respectively.

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What’s the answer? Plz help me get it

Whats the answer? Plz help me get it

Answers

I would think D that the area is also half

PLZ HELP JK what is 5+5 i know its hard but i need help fast

Answers

Answer:

10

Step-by-step explanation:

I mean if you need help then like you shouldn't be on here :/

i wasted 10 hours but i solved it is 10 because 1+1+1+1+1=5 and 1+1+1+1+1=5 add them you get 10 (づ。 ◕‿‿◕。) づ

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:


Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500


Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

Answers

Answer: Not fair

Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.

It's not right.

Students who are not already members of the art club have a better chance of receiving their preferred class assignment.

please help i have 7 mins to turn in, thanks :)

please help i have 7 mins to turn in, thanks :)

Answers

Answer:

1) x

2) 2x

3) x√3

Step-by-step explanation:

Two step problem: Aaron can type 40 words per minute. Jessica can type 55 words per minute. If Aaron and Jessica each type for 30 minutes, how many more words will Jessica type than Aaron?

Answers

Answer:

Step-by-step explanation:

Aaron types 40 wpm times 30 minutes = 1200 wpm.

Jessica types 55 wpm times 30 minutes = 1650 wpm.

Jessica’s types 450 more words per minute than Aaron.

A= 450 more than Aaron

What is Two-thirds divided by one-sixth?

Answers

Answer:

4

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

evaluate the triple integral given π:0≤x≤2,0≤y≤3,0≤z≤3. ∫∫∫x2y2z2dxdydz

Answers

The triple integral of x²y²z² over the given limits is evaluated by integrating with respect to x, y, and z is -243.

Firstly, we integrate x² from π to 0, which gives -8/3. Then, we integrate y² from 0 to 3, which gives 27/3. Finally, we integrate z² from 0 to 3, which gives 27/3. Multiplying all the values together, we get the final answer of -243. Therefore, the value of the given triple integral is -243.

In order to evaluate a triple integral, we must integrate the given function over three variables with respect to their limits of integration. In this case, we are integrating x²y²z² over the limits 0≤x≤2, 0≤y≤3, and 0≤z≤3. We start by integrating with respect to x, then y, and finally z, using the limits given.

Each integral gives us a value which is then multiplied together to get the final answer. It is important to follow the order of integration correctly, and to keep track of the limits for each variable. In this way, we can evaluate the triple integral and find the value of the given function over the given region of integration.

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If a-b=-5 and ab=0 then find a³-b³

What’s the answer?

Answers

If a - b = -5 and ab = 0 then the value of the expression a³-b³ is -125.

In the question ,

it is given that ,

the value of a - b = -5 and ab = 0

we need to find the value of the expression (a³-b³) ,

we know the identity that a³-b³ = (a - b)(a² + b² + ab)

we first need the value of a² + b² .

given that a - b = -5

squaring both the sides , we get

(a - b)² = 25

a² + b² - 2ab = 25

given ab = 0, so a² + b² = 25

Substituting a² + b² = 25 in the identity a³-b³ = (a - b)(a² + b² + ab) ,

we get ,

a³-b³ = (-5)(25 + 0)

a³-b³ = -5 × 25

a³-b³ = -125

the answer is -125 .

Therefore , If a - b = -5 and ab=0 then the value of the expression a³-b³ is -125.

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