Which proportion is set up correctly?

Answer:

correct answer is A i thik so

Answer:

4 boys

Step-by-step explanation:

\(\frac{1}{3} :\frac{y}{12}\)

3 × y = 1 × 12

3y = 12

3y ÷ 3 = 12 ÷ 3

y = 4

a) If two points on a line are A(-5,7) and B(-2,1), the rise -6, the run is of 3, and then the slope is of -2.

b) If two points on a line are A(10,-3) and B(12,9), the rise 12, the run is of 2, and then the slope is of 6.

c) If two points on a line are A(4,6) and B(8,-8), the rise -14, the run is of 4, and then the slope is of -3.5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

As the slope represents the rate of change of the output relative to the input, it is calculated as the change in the output y divided by the change in the input x, that is, the rise divided by the run.

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Answer:

18 and 74 are true.

Step-by-step explanation:

So we want to solve this inquality. \(13+4x> 75\\\) We subtract 13 from the left and the right. It leaves us with \(4x>62\). Then we want the x by itself so we divide the 4 from 4x and 4 from 62. We get \(x> 15 \frac{1}{2}\). So 15.5 is false since its not greater than. 0 is not a solution. 18 and 74 are true. I'm sorry if this is wrong.

You can visualize the relationship, if any, between the number of sick days and the number of T-shirts owned by Jose over several years. This graphical representation can help identify any potential correlations or trends in the data.

To plot the data in a scatter plot, you will need to have two variables: the number of sick days and the number of T-shirts owned by Jose over several years. Each data point will represent a year in this case.

Here are the steps to create a scatter plot:

1. Prepare the data: Organize the data into pairs, with one value representing the number of sick days and the other representing the number of T-shirts owned for each year. For example:

  Year 1: Sick days = 3, T-shirts owned = 10
  Year 2: Sick days = 2, T-shirts owned = 12
  Year 3: Sick days = 4, T-shirts owned = 9
  Year 4: Sick days = 1, T-shirts owned = 14

2. Choose the axes: Decide which variable will be plotted on the x-axis and which one on the y-axis. In this case, you could choose to plot the number of sick days on the x-axis and the number of T-shirts owned on the y-axis.

3. Scale the axes: Determine the range and scale for each axis. For example, if the number of sick days ranges from 0 to 5 and the number of T-shirts owned ranges from 0 to 15, you can set the x-axis from 0 to 5 and the y-axis from 0 to 15.

4. Plot the data: For each year, locate the corresponding point on the graph using the values from the dataset. For example, for Year 1 (3 sick days, 10 T-shirts), plot a point at (3, 10) on the graph.

5. Connect the dots: Once all the points are plotted, you can visually connect them to observe any trends or patterns. Scatter plots do not typically have a line connecting the points, but you can draw a best-fit line or add regression analysis if you want to explore the relationship further.

By creating a scatter plot, you can visualize the relationship, if any, between the number of sick days and the number of T-shirts owned by Jose over several years. This graphical representation can help identify any potential correlations or trends in the data.

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Answer:

196.12 in^2

Step-by-step explanation:

circular cake stand area=(24/2)^2(3.14)=452.12 in^2

square cake=16x16=256 in^2

452.12-256=196.12 in^2

By solving a quadratic equation, we will see that the border must measure 1 inch.

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

\(x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\\)

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

So the border must measure 1 inch.

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Check below, please.

1) In this case, we've got here to rotate this figure in a clockwise way about point P.

2) So, this rotation about point P is going to flip this quadrilateral up. And P' will be on the lower left of this image.

3) Thus, the image that represents this transformation is on the alternative:

To calculate the approximate volume of soil that was dug out to make the well, we can use the formula for the volume of a cylinder: approximately 30.144 cubic meters of soil were dug out to make the well.

Volume = π * radius^2 * height

Given that the diameter of the well is 1.6 meters, the radius can be calculated as half of the diameter:

Radius = 1.6 / 2 = 0.8 meters

The height of the well is given as 15 meters.

Now, we can substitute these values into the volume formula:

Volume = 3.14 * (0.8)^2 * 15

Calculating the value:

Volume = 3.14 * 0.64 * 15

Volume ≈ 30.144 cubic meters

Therefore, approximately 30.144 cubic meters of soil were dug out to make the well.

Please note that this is an approximation as the actual shape of the well may not be a perfect cylinder, but it provides a close estimate of the volume.

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Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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Answer:

One solution

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

X is equal to 7 and will only be equal to 7 which is why you only have one solution,

Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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The reasonableness of the estimate depends on the quality and reliability of the data sources and methodology used to arrive at the estimate.

In order to determine whether 12% is a reasonable estimate of the proportion of all Americans who eat chocolate

frequently, we would need to define what is meant by "frequently."

If we define "frequently" as "at least once a week," then 12% may or may not be a reasonable estimate, depending on

the data source and methodology used to arrive at that estimate.

For example, if the estimate is based on a small sample size or a non-representative sample of the population, then it

may not be a reliable estimate of the true proportion of Americans who eat chocolate frequently. Additionally, if the

estimate is several years old, it may not accurately reflect current trends and habits.

On the other hand, if the estimate is based on a large, nationally representative sample of the population, and is

relatively recent, then 12% could be a reasonable estimate of the proportion of Americans who eat chocolate

frequently.

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(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.

(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.

(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.

(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.

(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.

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The steps to get the inverse of the given function are;

We are given the function;

Start with a number "n"

• Add 2

• Multiply the result by 3

• Subtract 10 from that result

• Square the final number

An inverse function is a function that undoes the action of the another function

Thus, the steps to get the inverse of the above function is as follows;

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

Unfortunately, you have not provided any information about the functions M and P, so I cannot determine which statement about their rates of change is true.

Please provide more context or details about the functions M and P so that I can assist you better.

Answer:

145

Step-by-step explanation:

Cuánto es means what is the answer

35 - (-110)

Two negative signs equal a positive sign

35 + 110 = 145

Answer:

The atmospheric pressure is 25 kPa at a height of 8.95 kilometers above the Earth's surface.

Step-by-step explanation:

To determine the height at which the atmospheric pressure is 25 kPa, we can use the given exponential function:

p = 101.1 * e^(-h/6.4)

We want to find the value of h when p = 25. Let's substitute the values into the equation and solve for h:

25 = 101.1 * e^(-h/6.4)

Divide both sides of the equation by 101.1:

25/101.1 = e^(-h/6.4)

Now, take the natural logarithm (ln) of both sides to eliminate the exponential:

ln(25/101.1) = -h/6.4

To solve for h, multiply both sides by -6.4:

h = -6.4 * ln(25/101.1)

Using a calculator, we can evaluate the right-hand side of the equation:

h ≈ -6.4 * ln(0.247)

h ≈ -6.4 * (-1.3989)

h ≈ 8.95 km

Therefore, the atmospheric pressure is approximately 25 kPa at a height of 8.95 kilometers above the Earth's surface.

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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The area of the surface generated by revolving the arc y = 2 from x = 0 to x = 4 about the y-axis is approximately 100.53 square units.

To find the area of the surface generated, we can use the formula for the surface area of revolution. When an arc is revolved about the y-axis, the surface area can be calculated by integrating 2πy ds, where ds represents a small element of arc length.

In this case, the equation y = 2 represents a straight line parallel to the x-axis at a distance of 2 units. The length of the arc can be calculated using the formula for the length of a line segment: L = √((x2 - x1)^2 + (y2 - y1)^2).

Considering the points (0, 2) and (4, 2), we find the length of the arc:

L = √((4 - 0)^2 + (2 - 2)^2) = √16 = 4 units.

Now, we can integrate 2πy ds over the interval [0, 4]:

Surface area = ∫(0 to 4) 2π(2) ds.

Since y = 2 throughout the interval, we have:

Surface area = ∫(0 to 4) 4π ds.

Integrating ds over the interval [0, 4] gives us the length of the arc:

Surface area = 4π(4) = 16π ≈ 50.27 square units.

Therefore, the area of the surface generated by revolving the given arc about the y-axis is approximately 100.53 square units.

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Answer:

First you find the volume of the pyramid:

1. find the area of the base:

A= 15 x 5= 75

2. Multiply the Area of the rectangle by the height; h= 12 and si use the result by 3.

V= A x h /3 =. 75 x 12 = 900 /3

V= 300

3. If only 1/2 is filled, that means

V= 300/2= 150 in3 is filled and

150 in3 of marbles is needed to fill the container.

Answer: 150

Step-by-step explanation:

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Taking a difference, we can see that the trip to city C is 482.6 mi longer.

Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles

To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.

That means that we need to take the distance to city c and subtract the distance to city b.

We will get:

739.4 mi -  256.8 mi = 482.6 mi

The trip to city C is 482.6 mi more than the trip to city B.

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Answer:

c

........ ......

Step-by-step explanation:

126÷42=3

3×28=84

Answer:

B

Step-by-step explanation:

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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