A company is moving large equipment in boxes in the shapes of cubes that hold 2000 cubic feet. The company needs to move these boxes by placing them on square platforms. The square base of the cube must entirely sit on the square platform. The square platforms have side lengths that only come in whole foot lengths. What is the smallest whole foot length that could be used for the square platforms? Justify.

Answer: x=3-4y

                 _____

                   5

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

Yes, Sara can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.

Given, that Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups.

One group is given a turkey to eat and the other group is not given anything to eat.

Sara asks the adults to start exercising at the same and to stop when they tire, measuring the time each adult stops exercising.

She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey.

We have to determine Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below.

Level of significance measures the unlikeliness of a hypothesis's against the measured reading.

0.05 is a common level of significance which depicts that there are 5% chances of a  type I error thereby rejecting a true null hypothesis in a one-way test.

In two way test, it depicts that there are 2.5% chances of a  type I error thereby rejecting a true null hypothesis.

It is the probability of rejecting a null hypothesis with a probability of test suffering an error of type based on the data, Sara can conclude that the difference is significant because when we are analyzing data and reach a statistically significant result then nothing or no event happens by chance.

Sara can conclude that the difference is significant because a two minutes difference is not likely to happen by chance.

In analyzing data, a statistically significant result is one that is not attributed to chance, that is, there is no way the event could have occurred by chance.

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Answer:

Para un paralelogramo, las diagonales forman un par de triángulos congruentes, y se dividen entre sí. El rombo tiene 4 lados de igual longitud y tiene ambos pares de lados paralelos entre sí. Los ángulos opuestos de un rombo son siempre iguales.

(Utilicé un traductor, así que lo siento si hay algún malentendido en mi respuesta)

Answer:

i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

To minimize the total travel time, she should land at the point on the shore that is equidistant from her starting point and her destination. This is because the time taken to walk and the time taken to row will be the same for this point.

Let's assume her starting point is A and her destination is B. The distance between A and B is the straight line distance.

1. Calculate the distance between A and B.
2. Divide the distance by 2 to find the halfway point.
3. This halfway point will be the optimal landing point on the shore for her to minimize the total travel time.

Let's assume she needs to travel a distance of "d" miles along the shore before reaching her destination. If she walks at a speed of 3 mi/hr, the time it takes for her to cover the distance "d" while walking is d/3 hours.

On the other hand, if she rows at a speed of 2 mi/hr, the time it takes for her to row a perpendicular distance from the shore to her destination is d/2 hours.

To minimize the total travel time, she should choose the point on the shore where the sum of the walking time and rowing time is minimized.

Total travel time = Walking time + Rowing time

T = d/3 + d/2

T = (2d + 3d) / 6

T = 5d / 6

To minimize the total travel time, she should aim to minimize the distance "d." However, since we don't have any specific constraints or additional information about the problem, it is not possible to determine the exact point on the shore where she should land without further details.

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This statement is True. The Systems Development Life Cycle (SDLC) is a structured approach that outlines the stages involved in developing information systems and applications.

It is considered the traditional and widely accepted process for managing and guiding the development process.

The SDLC typically includes several key phases: requirements gathering and analysis, system design, development, testing, implementation, and maintenance.

Each phase has its specific objectives and deliverables, ensuring a systematic and controlled progression from conceptualization to the final product.

The SDLC provides a framework for project management, risk assessment, resource allocation, and quality control.

It emphasizes a structured and disciplined approach to ensure that information systems and applications meet the desired requirements, are thoroughly tested, and are implemented successfully.

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A regular pentagon has side lengths of 7 inches. It is dilated by a scale factor of 2. What is the resulting perimeter of the pentagon?Main Answer:The resulting perimeter of the pentagon is

:Given, A regular pentagon has side lengths of 7 inches and it is dilated by a scale factor of 2.To find: The resulting perimeter of the pentagonSolution:The perimeter of the regular pentagon is given as:P = 5 × s where s is the length of the side of the pentagon.

So, the perimeter of the original pentagon is:P = 5 × 7P = 35 inchesThe scale factor of the dilation is 2.Therefore, the side of the new pentagon is 7 × 2 = 14 inches.So, the perimeter of the new pentagon is:P = 5 × 14P = 70 inchesTherefore, the resulting perimeter of the pentagon is 70 inches.

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Answer:

29.645

As a decimal

Step-by-step explanation:

EXPLANATION:

Given;

We are given a circle with center H. Also we are given the angle measure of arc IJ.

Required;

We are required to calculate the angle measure of IGJ from the information given.

Step-by-step solution;

First of all, take note that the angle at the center of a circle is twice the angle at the circumference.

Also, we should take note that the measure of the central angle is the same as the angle measure of the arc subtended by the radii of the central angle. This means

Therefore if the arc measure IJ is 68 degrees, then

We now have the angle at the center as 68 degrees. The angle at the circumference, which is angle IGJ will now be;

We now divide both sides by 2;

ANSWER:

For given direct variation with points (2,6) and (n,3), n will be 1.

What is direct variation?

The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For example, they are said to be in proportion when one variable influences the other. If b is directly proportional to a, the equation is b = ka (where k is a constant). When two variables are coupled in such a way that the ratio of their values always remains the same, they are said to be in direct variation. Direct variation can be stated mathematically in a variety of ways. Because the ratio of y to x never changes in equation form, y and x fluctuate directly.

Formula for direct variation is

                            y=kx, where k is a constant.

Now,

Given Coordinates are (2,6) and (n,3)

So putting point 1 in formula y=kx

6=2k

k=3

Using k=3 in pont 2

3=3n

n=1

Hence,

         For given direct variation with points (2,6) and (n,3), n will be 1.

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Answer: To create a linear model that represents the amount of fuel on the plane as a function of flight time, we need to use the given information to calculate the fuel burn rate of the airplane in gallons per hour.

Fuel burn rate = Fuel capacity ÷ Range

Fuel burn rate = 63,500 gallons ÷ 14,430 km = 4.4 gallons per km

We need to convert km to miles, as flight time is usually measured in hours and miles. We can use the conversion factor 1 km = 0.621371 miles to convert kilometers to miles.

Range in miles = Range in km ÷ 0.621371

Range in miles = 14,430 km ÷ 0.621371 = 23,594 miles

Fuel burn rate = Fuel capacity ÷ Range in miles

Fuel burn rate = 63,500 gallons ÷ 23,594 miles = 2.69 gallons per mile

Therefore, the linear model that represents the amount of fuel on the plane as a function of flight time, in hours, is:

Fuel on plane (in gallons) = Fuel capacity - Fuel burn rate x Flight time (in hours)

F(t) = 63,500 - 2.69t

where F(t) is the amount of fuel on the plane (in gallons) after flying for t hours.

Step-by-step explanation:

Answer:

simply add

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x - 14) = 51

expand

5x - 14 = 51

group liked terms

5x = 51 +14

5x = 65

divide through by 5

5x÷5 = 65÷5

x= 13

We are told that Sam spent 5/6 of an hour at the dentist office. He spent 1/10 of that time in the waiting room. Adn we are asked to find the time he actually spent in the office apart from the waiting time.

So we first try to understand in minutes what is the total time he spent at the dentist:

5/6 of an hour is in fact 5/6 of 60 minutes .And this becomes the product of 5/6 times 60: 50 minutes.

So 50 minutes was the total time at the dentist's office.

Now 1/10 of these 50 minutes was his waiting time. We calculate 1/10 of 50 minutes again via the product of 1/10 times 50. This is : 5 minutes .

So now we can figure out what was the time at the dentist discounting the waiting time:

50 minutes - 5 minutes = 45 minutes.

If they want you to answer in hours, we can convert back the 45 minutes into hours: 3/4 of an hour.

If your teacher wants all calculations in fraction of an hour (may be to practice fractions) you do:

1/10 of 5/6 = 1/10 * 5/6 = 5/60

now subtract this from 5/6:

5/6 - 5/60 = 50/60 - 5/60 = 45/60 = 3/4

Another fraction problem:

Three members of a relay team run a total of 3/8 of a mile. each runner run the same distance. find how far each runner went.

So we understand that the first runner run a distance "x" (unknown), then it met the second runner, how started and run another equal distance "x", and the third one did the same. So at the end, the addition of the three equal distances : x + x + x equals 3/8 of a mile

So we have the equation:

3 x = 3/8 of a mile.

to solve for x we divide both sides of the equal sign by 3 (to isolate the x on the left):

x = 3/8 divided by 3 = 1/8 of a mile.

Each runner run 1/8 of a mile.

The coordinates of the rectangle are (3,-3), (3, -7), (7, -7) and (7, -3).

We also know that the distance between the left and right sides of the rectangle is 4 (since the x-coordinate of the right side is 7 and the x-coordinate of the left side is 3). So we have the equation:

4x = 16

Solving for x, we get x = 4. This means that the length of the top and bottom sides of the rectangle is 4 units. The height of the rectangle is 16/4 = 4 units.

Now that we know the length and height of the rectangle, we can draw it on the coordinate plane.

The left side starts at (3, -3) and ends at (3, -7). The right side starts at (7, -3) and ends at (7, -7).

The top side starts at (3, -3) and ends at (7, -3). The bottom side starts at (3, -7) and ends at (7, -7).

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Answer:

8.3

Step-by-step explanation:

40-4=36

3x3=9

36-9=25

25/3 = 8.3

x=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

The probability of the random item chosen that it is less than 16.4 inches long is 2.7%

Probability means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the probability that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the probability that the event will not occur.

Variance of sample mean =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample mean be shorter than 16.4 inches.

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A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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Answer: 3

Step-by-step explanation:

15% of 20 can be written as 15% × 20 = 15/100 × 20 = 3

Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

To test whether a data model is biased, one can compute the average difference between a predicted result and an actual result using the bias() function.

Unreasonably supporting or opposing someone or something because you allowed your opinions to cloud your judgement: The senator accused the media of being biased. Journalists need to be objective and free of political prejudice. Cognitive biases are systematic thinking errors that are often learned from cultural and personal experiences.

They lead to perceptional distortions when people make decisions. Even though data may appear to be objective, it can still be biased because it is gathered and handled by humans. We are not objective in the way we perceive things. Biases can be deliberate or unintentional. If given the choice between three shirts, a person might choose the one in their preferred hue above the other two.

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Correct Question:

A data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

The distribution of the values obtained from a simple random sample of size n from the same population is incorrect.

The sampling distribution of a statistic of size n is the distribution of the values obtained from a simple random sample of size n from the same population.

The sampling distribution is the process of getting a sample through simple random techniques from the sample population.

So, it is incorrect that the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.

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If the incenter, circumcenter, centroid, and orthocenter are always inside the triangle, the correct answer is an acute triangle (option B).

In an acute triangle, all three angles are less than 90 degrees. The incenter, which is the center of the inscribed circle, lies inside the triangle. The circumcenter, which is the center of the circumscribed circle, also lies inside the triangle.

The centroid, which is the point of intersection of the medians, is located inside the triangle as well. Finally, the orthocenter, which is the point of intersection of the altitudes, is inside the triangle in an acute triangle.

In contrast, a right triangle has one angle measuring 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and an isosceles triangle has two equal side lengths. These types of triangles may have some of the points (incenter, circumcenter, centroid, orthocenter) located outside the triangle.

Therefore, the correct answer is option B, acute triangle.

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Answer:

The answer is B

Step-by-step explanation:

The answer would be B because the domain of a function is always all real numbers.

Answer:

if u need to write an equation for it, it would be |2x-11| =7

The addition of hydroiodic acid to a 1 liter solution containing hydrocyanic acid and sodium cyanide will result in a change in pH. To determine the exact change, we need to analyze the reaction that takes place.

Hydroiodic acid (HI) is a strong acid, while hydrocyanic acid (HCN) is a weak acid. When a strong acid is added to a solution containing a weak acid and its conjugate base, it will react with the weak acid to form the conjugate acid. In this case, HI will react with HCN to form H3O+ (the conjugate acid of HCN) and iodide ions (I-).

The reaction can be represented as follows:
HI + HCN -> H3O+ + I-

Since hydrocyanic acid is a weak acid, it does not completely ionize in water. The presence of iodide ions will react with water to form hydroiodic acid and hydroxide ions (OH-).

The reaction can be represented as follows:
I- + H2O -> HI + OH-

The formation of hydroxide ions will increase the concentration of OH- in the solution, leading to an increase in pH. Therefore, the addition of hydroiodic acid will raise the pH by several units.

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The expected value of the amount of coins that come up heads is 2 coins.

The expected value of the amount of coins that come up heads when a penny, nickel, dime, and quarter are flipped simultaneously is given by the formula: E(X) = 1/2p + 1/2n + 1/2d + 1/2q where p, n, d, and q are the probabilities of getting heads when the penny, nickel, dime, and quarter are flipped. The probability of getting heads when a fair coin is flipped is 1/2.

Therefore, the probability of getting heads for each coin is 1/2.The expected value of the amount of coins that come up heads is: E(X) = 1/2 + 1/2 + 1/2 + 1/2= 2 coins. Therefore, the expected value of the amount of coins that come up heads is 2 coins.

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