Which set of line segments could create a right triangle?
24, 30, 35
12, 18, 30
18, 24, 30
18, 24, 35

Answers

Answer 1

thirdStep-by-step explanation:


Related Questions


Please answer as soon as possible! Thanks
Transformation Questions)

Please answer as soon as possible! ThanksTransformation Questions)

Answers

Answer:

A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1

Im giving 10 points. :)

Im giving 10 points. :)

Answers

The volume of the box can be calculated by multiplying the length, width, and height together. Since all the edges of the box are 1 and 1/2 feet long, we can assume that the dimensions are:

Length = 1.5 ft Width = 1.5 ft Height = 1.5 ft

So the volume of the box is:

1.5 ft × 1.5 ft × 1.5 ft = 3.375 cubic feet

The dimensions of each cube is 1/4 feet. To find out how many cubes can fit inside each dimension of the box, we need to divide the length, width, and height of the box by the length of each cube to get the number of cubes that can fit along each dimension. Then we multiply these values together to get the total number of cubes that can fit inside the box.

Number of cubes that can fit along the length of the box: 1.5 ft ÷ 1/4 ft = 6 cubes Number of cubes that can fit along the width of the box: 1.5 ft ÷ 1/4 ft = 6 cubes Number of cubes that can fit along the height of the box: 1.5 ft ÷ 1/4 ft = 6 cubes

So the total number of cubes that can fit inside the box is:

6 cubes × 6 cubes × 6 cubes = 216 cubes

Therefore, 216 cubes can fit inside each dimension of the box.


Show that (¬¬P ↔ P) is a logical truth by using proof by
contradiction.

Answers

To prove that (¬¬P ↔ P) is a logical truth using proof by contradiction, we assume the negation of the statement and then derive a contradiction.

To begin the proof by contradiction, we assume the negation of the statement: (¬¬P ↔ P) is false. This means either (¬¬P → P) is false or (P → ¬¬P) is false.

Assume (¬¬P → P) is false. This implies that ¬¬P is true but P is false. However, by the double negation law, ¬¬P is equivalent to P. Thus, this leads to a contradiction, showing that our assumption is incorrect.

Now, suppose (P → ¬¬P) is false. This implies that P is true, but ¬¬P is false. Again, using the double negation law, ¬¬P is equivalent to P. Hence, we have a contradiction, proving that our assumption is incorrect.

In both cases, we arrived at a contradiction, which means our initial assumption that (¬¬P ↔ P) is false must be incorrect. Therefore, (¬¬P ↔ P) is indeed a logical truth, as it holds in all cases.

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The total cost (t) after 8% sales tax is added to an item’s price (p): 1.08=t​

Answers

Step-by-step explanation:

What should m<3 be for I1 II2

What should m&lt;3 be for I1 II2

Answers

Answer:

63

Step-by-step explanation:

180 - 117 = 63 which is used to figure out angle 2.

Angle 2 and angle 3 are corresponding angles thus the measure of angle 3 is 63 degrees.

Answer:

Search up online

Step-by-step explanation:

i don't actually know but searching online is good

In a bimodal histogram, the two highest bars will have the same height.
True or False

Answers

In a bimodal histogram, the two highest bars will have the same height.

The above statement is TRUE that is n a bimodal histogram, the two highest bars will have the same height.

A histogram is said to be bimodal if it has two peaks. The only defining characteristic about this distribution is that it has 2 peaks of the same height. Bimodality sometimes occurs when the data set consists of observations from two different group of individuals. If this shape occurs, the two sources should be separated and analysed separately.

A bimodal histogram shape often reflects the presence of two different processes being "mixed" in the displayed data. For example, the data could contain information from two different machines, two shifts, weekdays and weekends, two offices, etc.

In some cases bimodal histogram indicates that the sample can be divided into two sub samples that differ from each other in some way.

Thus in a bimodal histogram, the two highest bars will have the same height.

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A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?

Answers

The excel statement to estimate the test average of these 4 grades is -

Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)

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a salesman has scheduled two appointments to sell an accounting system. his first appointment will lead to a sale with probability 0.3, and his second will lead independently to a sale with probability 0.6. any sale made is equally likely to be either for the deluxe system, which costs $1000 or the standard model, which costs $500. let x be the total dollar value of all sales (for the two appointments). a. find the probability mass function of x. b. find the expected total dollar value of all sales.

Answers

The solution is,

P(X=0) = 0.28

P(X=500) = 0.27

P(X=1000) = 0.315

P(X=1500) = 0.09

P(X=2000) = 0.045

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

Lets think about the first apointment. There are three possible outcomes:

1. No sale (0 dollars)

2. Standard model (500 dollars)

3. Deluxe model (1000 dollars)

The probability of a sale is 0.3, and it could be Standard or Deluxe with equal probability. So, in the first apointment:

P(Standard) = 0.15

P(Deluxe) = 0.15

The same reasoning can be appiled to the second apointment. Lets define

a = dollars won in first apointment

b = dollars won in second apointment

Then we have:  

P(a=0) = 0.7, P(a=500) = 0.15, P(a=1000) = 0.15

P(b=0) = 0.4, P(a=500) = 0.3, P(a=1000) = 0.3

The final outcome of the two apointments can be expressed as the pari (a,b) and X = a+b

As a and b are independent P(a,b) = P(a)*P(b)

What are the possible values of X? 0, 500, 1000, 1500, 2000

To find the probabilities of this values, we must find all the pairs that produce each value, and sum their probabilities (all the pairs are mutually exclusive). Then

P(X=0) = P(0,0)

           = 0.7*0.4

           = 0.28

P(X=500) = P(500, 0) + P(0, 500)

                = 0.15*0.4 + 0.7*0.3

                = 0.27

P(X=1000) = P(1000,0) + P(0,1000) + P(500,500)

                 = 0.315

P(X=1500) = 0.09

P(X=2000) = 0.045

We can check that the sum of all these probabilities is 1.

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determine the solution for the equation :

14 = -3x-16

Answers

Answer: x=-10

Step-by-step explanation:

rewrite equation as -3x-16=14.

Move all terms to the right side of the equation

-------> 3x=30, divide by -3 and simplify. :) hope that helped.

Answer:

x= -10

Step-by-step explanation:

14= -3x-16

1) -3x-16=14: Switch the left and right sides

2) -3x=14=16: Separate the constants and variables

3) -3x=30: Add the numbers

4) -3x/-3 = 30/-3: Divide both sides by -3

5) x= -10: Simplify

Hope that helps :)

In a linear programming problem, the binding constraints for the optimal solution are
5X + 3Y ≤
30
2X + 5Y ≤
20
a. As long as the slope of the objective function stays between .......... and ............, the current optimal solution point will remain optimal.
b.Which of these objective functions will lead to the same optimal solution? 1) 2X + 1Y 2) 7X + 8Y 3) 80X + 60Y 4) 25X + 35Y

Answers

a)  As long as the slope of the objective function stays between -8/7 and -1/2 the current optimal solution point will remain optimal.                                                                                                                                                                                                                        

b) The objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y.

a. The binding constraints for the given linear programming problem are 5X + 3Y ≤ 30 and 2X + 5Y ≤ 20. We need to find the range of slope of the objective function for which the current optimal solution point will remain optimal.

First, we graph the two binding constraints on the X-Y plane and find their intersection point as (X, Y) = (3, 3). This is the current optimal solution point.

Next, we need to check the slope of the objective function at this point. Let the objective function be Z = aX + bY. At the optimal solution point, the slope of the objective function is given by -b/a.

For the current optimal solution point (3, 3), we can compute the slope of the objective function for different values of a and b as follows:

When a = 2 and b = 1, the slope of the objective function is -1/2.

When a = 7 and b = 8, the slope of the objective function is -8/7.

When a = 80 and b = 60, the slope of the objective function is -3/4.

When a = 25 and b = 35, the slope of the objective function is -7/5.

Since the binding constraints have negative slopes, we know that the objective function must have a negative slope for an optimal solution to exist. Therefore, the range of slope of the objective function for which the current optimal solution point will remain optimal is between -8/7 and -1/2.

b. To find the objective functions that lead to the same optimal solution, we need to find the objective functions that have the same slope at the current optimal solution point (3, 3). We can compute the slope of each objective function as follows:

For Z = 2X + Y, the slope at (3, 3) is -1/2.

For Z = 7X + 8Y, the slope at (3, 3) is -8/7.

For Z = 80X + 60Y, the slope at (3, 3) is -3/4.

For Z = 25X + 35Y, the slope at (3, 3) is -7/5.

Therefore, the objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y

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Can somebody please help me

Can somebody please help me

Answers

Answer:

1963.5ft

Step-by-step explanation:

Square the radius, then multiply by pi.

Answer:

A. 1963 ft^2

Step-by-step explanation:

the area of a circle = πr^2

Here r= d/2 = 50/2 =25

What point on the parabola y = 7 - x^2 is closest to the point (7,7)?

Answers

The point on the parabola y = 7 - x² is closest to the point (7,7) is (6,7)

To find the point on the parabola y = 7 - x² that is closest to the point (7, 7), we need to determine the point on the parabola that has the minimum distance to (7, 7). This can be done by finding the point on the parabola where the distance formula between the point (x, y) on the parabola and (7, 7) is minimized.

Let's denote the coordinates of the point on the parabola as (x, y). The distance between two points (x₁, y₁) and (x2, y₂) is given by the distance formula:

d = √((x2 - x₁)² + (y₂ - y₁)²)

In our case, (x₁, y₁) = (x, y) and (x2, y₂) = (7, 7). Therefore, the distance formula becomes:

d = √((7 - x)² + (7 - y)²)

To find the point on the parabola that minimizes this distance, we need to find the point where the derivative of the distance formula with respect to x is equal to zero. This will give us the x-coordinate of the point.

Let's differentiate the distance formula with respect to x:

d' = d/dx [√((7 - x)² + (7 - y)²)]

To simplify the calculation, let's substitute y with the equation of the parabola, y = 7 - x²:

d' = d/dx [√((7 - x)² + (7 - (7 - x²))²)]

Now, we can differentiate this expression using the chain rule:

d' = 1/2(√((7 - x)² + (7 - (7 - x²))²)) * (2(7 - x)(-1) + 2(7 - (7 - x²))(2x))

Simplifying this further:

d' = (7 - x)(-1) + (7 - (7 - x²))(2x) / √((7 - x)² + (7 - (7 - x²))²)

To find the x-coordinate of the point where the derivative is zero, we set d' equal to zero and solve for x:

0 = (7 - x)(-1) + (7 - (7 - x²))(2x)

Now, we can solve this equation to find the value(s) of x. Once we have the x-coordinate(s), we can substitute it back into the equation y = 7 - x² to find the corresponding y-coordinate(s).

After obtaining the x and y coordinates, we can calculate the distance between each point and (6, 7) using the distance formula.

The point with the smallest distance will be the closest point on the parabola to (7, 7).

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A student has 2 pounds of cereal. If the student eats 1/6 pound of cereal each day, how many days can the student eat cereal

Answers

Answer:

12 days

Step-by-step explanation:

1/6 per day

in 6 days- 1 pound

6x2=12 days=2 pounds

hope this helped :)

Answer:

The student can eat the cereal for 12 days

Step-by-step explanation:

2 divided by 1/6 is 12

find the maximum $p$ such that $2x^4y^2 9y^4z^2 12z^4x^2 - px^2y^2z^2$ is always nonnegative for all real $x$, $y$, and $z.$

Answers

So now you just need to use LaGrange multipliers to minimize the function of a unit sphere (a compact set) and work out for which values of p the minimum is non-negative.

2a²b+9b²c+12c²a≥pabc

for a,b,c≥0.Letting a=3k,b=2m,c=n yields

36(k²m+m²n+n²k)≥(6p)kmn

k²m+m²n+n²k≥(p6/5)kmn

We now use AM-GM on k2m,m2n,n2k to get that

k²m+m²n+n²k/3 ≥ (k³m³n³)∧13

k2m+m2n+n2k≥3kmn

So we know that this applies to all p18. Furthermore, taking k=m=n turns the inequality into equality, therefore any p>18 fails. As a result, p=18 is the maximum.

Call that function f, and keep in mind that f(x,y,z)=(x,y,z) for all >0 and x,y,zR. So all you have to do is ensure that f is non-negative on the unit sphere.

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true/false: a base class cannot contain a pointer to one of its derived classes.

Answers

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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HELP ME QUICK PLS BEFORE 11:59PM EST TIME

HELP ME QUICK PLS BEFORE 11:59PM EST TIME

Answers

Answer:

what is the question

Step-by-step explanation:

Use the algebra tiles to help you solve the equation 2x - 4 + 14 . What is the first step in solving the equation using algebra​ tiles? What is the solution to the​ equation?

Answers

Answer:

\(2*2\)  ← equals 4

\(-4\)  ← equals 0

\(+14\)  ← equals 14  

↑ This equation means multiply 2 by itself one time, subtract 4, and add 14. Let's find the value.

Therefore,

the value is 14. Result may vary with x. There are ways to factorize this, but I did not want to confuse you. \(:)\)

please helpp!! Christina wants to paint her garage. She buys 1 1/2 gallons of paint. She uses 2/5 of a gallon of paint for one wall and then she buys 2 more gallons. How many gallons of paint does she have left?

Answers

1 1/2 = 1 5/10

2/5 = 4/10

1 5/10 - 4/10 = 1 1/10

1 1/10 + 2 = 3 1/10

3 1/10 gallons of paint left

Answer: 31/10 gallons of paint.

Step-by-step explanation:

Find common denominators.

3/2 = 15/10

2/5 = 4/10

15/10 - 4/10 = 11/10

2 + 11/10 = 31/10

the diameter of a pipe is normally distributed, with a mean of 0.3 inch and a variance of 0.0009. what is the probability that the diameter of a randomly selected pipe will exceed 0.36 inch? (you may need to use the standard normal distribution table. round your answer to three decimal places.) . hint: take the square root of the variance to find the standard deviation.

Answers

Probability that the diameter of a randomly selected pipe will exceed 0.36 inch = 0.023

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here, Normal distribution of probability is used

Mean of the distribution = 0.3 inch

Standard Deviation of the distribution = \(\sqrt{0.009} = 0.03\)

Probability that the diameter of a randomly selected pipe will exceed 0.36 inch = P(X > 0.36)

       = 1 - P(X \(\leq\) 0.36)

          1 - P(z \(\leq\) \(\frac{0.36 - 0.3}{0.03}\))

          1 - P(z \(\leq\) 2)

          1 - 0.9772

           0.023

Probability that the diameter of a randomly selected pipe will exceed 0.36 inch = 0.023

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These two maps show the same area at two different scales.



​​Columbus is not on Map A
​Map B does not have a scale written on it.
​Riverside and Gladville are 6.8 cm apart on Map A.
​Riverside and Gladville are 3.4 cm apart on Map B.
​Gladville and Columbus are 1.8 cm apart on Map B.
​Determine the straight line distance, in miles, from Gladville to Columbus. ​

Answers

The distance from Gladville to Columbus is 144 miles.

How to calculate the distance

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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You are given 100 cups of water, each labeled from 1 to 100. Unfortunately, one of those cups is actually really salty water! You will be given cups to drink in the order they are labeled. Afterwards, the cup is discarded and the process repeats. Once you drink the really salty water, this "game" stops.

a. What is the probability that the įth cup you are given has really salty water?
b. Suppose you are to be given 47 cups. On average, will you end up drinking the really salty water?

Answers

The probability that the įth cup you are given has really salty water is 1/100.

We are given that;

Number of cups = 100

Now,

The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes1. In this case, the event is that the įth cup has really salty water, and there is only one favorable outcome out of 100 possible outcomes. Therefore, the probability is:

P(įth cup has really salty water) = 1/100

This probability is the same for any value of į from 1 to 100.

b. we need to find the expected value of the number of cups you drink before you encounter the really salty water. The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of each outcome2. In this case, the possible outcomes are that you drink 1 cup, 2 cups, …, or 100 cups before you stop. The probability of each outcome depends on where the really salty water is located among the 100 cups.

Therefore, by probability the answer will be 1/100.

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Ronnie can buy invitations in packages of 12 and envelopes in packages of 10. Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over. How many packages of invitations and how many packages of envelopes did Ronnie buy? Enter your answers in the boxes. packages of invitations packages of envelopes

Answers

Answer:

5---6

Step-by-step explanation:

Given, the package of invitations contain \(12\) invitations and package of envelopes contain \(10\) envelopes.

Let \(x\) and \(y\) denote the number of invitation packages bought by Ronnie respectively.

It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.

That is,\(12x-10y=0\).

When, \(x=1\) the value of \(y\) becomes \(1.2\).

It is not possible, since the number package cannot be in decimals.

When, \(x=2\) the value of \(y\) becomes \(2.4\).

This is not possible, since the number package cannot be in decimals.

When, \(x=3\) the value of \(y\) becomes \(3.6\).

This is not possible, since the number package cannot be in decimals.

When, \(x=4\) the value of \(y\) becomes \(4.8\).

This is not possible, since the number package cannot be in decimals.

When, \(x=5\) the value of \(y\) becomes \(6\).

This is not possible, since the number package cannot be in decimals.

Thus, Ronnie bought \(5\) packages invitations and \(6\) packages envelopes so that there is exactly one envelope per invitation with none left over.

7.
Find the measurements (CVU
u
630
(3x) (x + 13)
су
T

Answers

Answer:

12.43

Step-by-step explanation:

Use the figure for Exercises 1-4. Identify all pairs of each type of angle.

1. corresponding angles

2. Same side, interior angles.

3. Alternate interior angles.

4. Alternate exterior angles.

Use the figure for Exercises 5 and 6.

5. Which angles are supplementary to the given angle?

6. Which angles are congruent to the given angle?

7. Use the diagrams to fill in the blanks. Determine whether the pair of angles congruent or supplementary and find the measure of the angle.

8. A student said that m<1 = 80°. What error did the student likely make? What is m<1

9. In the figure, EH II A/ and AI II CJ.

a. What is the m
b. What is the m<3? Explain.

Use the figure for Exercises 1-4. Identify all pairs of each type of angle.1. corresponding angles2.

Answers

Based on the types of angle pairs we have:

1. Angles 1 and 5, 2 and 6, 3 and 7, 4 and 8

2. Angles 3 and 5, 4 and 6

3. Angles 3 and 6, 4 and 5

4. Angles 1 and 8, 2 and 7

5. Angles that are supplementary to 120°

6. Angles 3, 5, and 7

7. a. Angles 1 and 2; m<2 = 180 - 100 = 80°

b. Angles 1 and 2; m<2 = 75°

c. Angles 1 and 2; m<2 = 82°

d. Angles 1 and 2; m<2 = 77°

8. m<1 = 100°

9. a. m<1 = 127°; b. m<3 = 53°

How to Identify Pair of Types of Angles?

Some types of pairs of angles include:

Supplementary angles which have a sum of 180 degreesCongruent angles which are equal such as alternate interior angles, corresponding angles, alternate exterior angles.

From the given figure, we have:

1. Angles 1 and 5, 2 and 6, 3 and 7, 4 and 8 are pairs of corresponding angles.

2. Angles 3 and 5, 4 and 6 are pairs of same side, interior angles.

3. Angles 3 and 6, 4 and 5 are alternate interior angles.

4. Angles 1 and 8, 2 and 7, are alternate exterior angles.

Using the figure given, we can determine the following:

5. Angles that are supplementary to 120 degrees are: angles 1, 2, 7, and 6.

6. Angles that are congruent to 120 degrees are: angles 3, 5, and 7

7. a. Angles 1 and 2 are Same side interior angles

m<2 = 180 - 100 = 80°

b. Angles 1 and 2 are alternate interior angles.

m<2 = 75°

c. Angles 1 and 2 are corresponding angles.

m<2 = 82°

d. Angles 1 and 2 are alternate exterior angles.

m<2 = 77°

8. The student made an error by thinking angle 1 is supplementary to the given angle.

Both angles are alternate interior angles, therefore:

m<1 = 100°

9. a. m<1 = 180 - 53 = 127°

b. m<3 = 53°

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let [a, b] be a non-degenerate closed interval in r, and let f : [a,b] →r be twice differentiable with f(a) < 0, f(b) > 0, f'(x)≥ c > 0, and 0 ≤f ''(x)≤ m for all x ∈(a,b)

Answers

The function f is twice differentiable on the interval [a, b], conditions provide some information about the behavior of the function f on the given interval.

Based on the given conditions, we can conclude the following:
1. The function f is defined on a non-degenerate closed interval [a, b] in the real numbers.
2. The function f is twice differentiable, meaning its derivative exists and is also differentiable.
3. The value of f(a) is negative, indicating that the function takes a negative value at the left endpoint of the interval.
4. The value of f(b) is positive, indicating that the function takes a positive value at the right endpoint of the interval.
5. The derivative of f, denoted as f'(x), is greater than or equal to a positive constant c for all x in the interval (a, b). This implies that the function is increasing or non-decreasing throughout the interval.
6. The second derivative of f, denoted as f''(x), is greater than or equal to 0 and less than or equal to a constant m for all x in the interval (a, b). This implies that the function is concave up or non-concave down throughout the interval.
These conditions provide information about the behavior of the function f within the interval [a, b].

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in the time series design, if a researcher notes that every time that sampled inviduals are observed on the DV that the average score increases. can the researcher attribute variation on the DV to treatment

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In a time series design, a researcher collects data on a dependent variable (DV) at multiple time points before and after the implementation of a treatment. If the researcher notes that every time sampled individuals are observed on the DV, the average score increases, it may be tempting to attribute this variation to the treatment.

However, caution should be exercised when making such conclusions. While the observed trend in the DV may be associated with the treatment, it's essential to consider alternative explanations, such as maturation, history, or regression to the mean. Maturation refers to the natural developmental processes that occur in participants over time, which might contribute to the observed changes. History refers to external events that could impact the DV, unrelated to the treatment. Regression to the mean occurs when extreme scores naturally become closer to the average over time, which might be mistaken as a treatment effect.

To confidently attribute variation in the DV to the treatment, the researcher should consider using a control group and a comparison group design. This allows for the comparison of changes in the DV between those who received the treatment and those who did not, reducing the likelihood of confounding variables.

In summary, although the increasing average scores in a time series design may suggest a relationship between the treatment and the DV, the researcher should be cautious when attributing this variation solely to the treatment. Other factors and potential confounding variables must be considered before making any definitive conclusions.

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emily bought 4 pounds of grapes for $20 .find the unit price A)$5 B)15 c)1 D)20​

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Answer:

(a)5

Step-by-step explanation:

$20 ÷4 pounds of grapes = $5

a spinner is divided into 4 equal-size sections. the 4 sections are colored red, green, orange, and blue. if you spin the spinner once, what is the theoretical probability that you will spin green?

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The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.

In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.

To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.

It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.

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The aquarium estimated that they would need 520 cubic feet of water for a new exhibit. They got more fish than expected and actually needed 620 cubic feet of water. What was the percent error between the actual amount needed and the estimate? (Round your answer to 2 decimal places)

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The percent error between the actual water quantity and the estimated water quantity for aquarium is 16.13%.

What is percent error?

The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error is multiplied by 100 to calculate the percent error.

Let x be percent error in the quantity of water for aquarium. The estimated quantity of water was 520 cubic feet and the actual quantity of water was needed 620 cubic feet. Then x can be determined  as:

\(x=\frac{Difference\;of\; water\; quantity}{Actual \;quantity\; of\; water} \times 100\)

   \(=\frac{ 620-520}{620} \times100\\\\=\frac{100}{620} \times 100\\\\=16.13 \%\)

Therefore, the percent error between the actual water quantity and the estimated water quantity for aquarium is 16.13%.

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joe is a wrestler and during his workouts he loses 2 pounds. how much water would he have to drink to replenish this water weight loss?

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Answer:

36 ounces or if over 150 lbs drink more water than 36 ounces

Step-by-step explanation:

For every pound of sweat you lose you need to drink 16 ounces of water!

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