a variable way to practice variables… variables are basically something that changes in the experiment. follow along in this activity and we will practice identifying variables….both ones that we do know about and ones that we might not see at first… a quick recap… use your notes to quickly define these three terms… hypothesis: independent variable: dependent variable: first, let’s make sure you know how to write a hypothesis: take a look at these questions one might ask and create a hypothesis. remember your formula! i wonder if the number of books i read will help me get smarter? hypothesis: i wonder what will happen to my plant if i leave it in the closet with no light? hypothesis: i wonder if exercising will help me get stronger? hypothesis: now, read the following hypotheses and identify the different variables. if you increase the number of hours of daylight a plant receives, then the plant will grow taller. independent : dependent: if you increase the amount of fish in the water, then you will increase the number of sharks in the area. independent : dependent: if you increase the amount of milk you drink, then you will increase the strength of your bones. independent : dependent: if you increase the number of hours you spend in practice, then you will increase the number of free throw shots you will make. independent : dependent: final practice in this section, you will read about two experiments. please write a hypothesis and identify the different variables. – independent and dependent. i am doing a test to see if there is a connection between how long you run and how fast your heart beats. i will be performing an experiment where a person will run for a 1 minute and i will check their heartbeat. then they will run for 2 minutes and i will check their heart rate. i will do this up to 6 minutes and see if there is a connection. what do you think my hypothesis should be? what are my variables? hypothesis: independent variable: dependent variable: the oc fair is right around the corner and your pig is on the plump side, tipping the scale at almost 300 pounds. you think, mrs. piggy needs to go on a diet to maintain a market ready weight of 280. to have her lose weight, you decide to place her on an all banana diet because you read on the internet it can take off 20 pounds in a week. you want to test this idea and see if it actually works. you plan to feed her a normal diet for the next week and keep track of her weight every morning. then, you plan to feed her nothing but bananas for a week and track her weight each morning. what do you think your hypothesis should be? what will the variables of your experiment be? hypothesis: independent variable: dependent variable:

Answer:

20.7 and 500.200

Step-by-step explanation:

Answer:

20/7 = 2.8571

500/22000 = 0.0227

Step-by-step explanation:

Answer:(

(-4,-3)

Step-by-step explanation:

You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!

Answer:

10779

i think some error in this question

Answer:

3 x 10(to the 3rd power)

Step-by-step explanation:

Answer:

37/45

Step-by-step explanation:

Find the least common denominator, in this case, it would be 45

2/9 (multiply both the numerator and denominator by 5) = 10/45

3/5 (multiply both the numerator and denominator by 9) = 27/45

10/45 + 27/45 = 37/45

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

5.8 Nickels

Step-by-step explanation:

Let x rep no of Nickels in Mike's cup

Then x - 0.2 = Number of quarters in Mike's cup

0.2x = Amount of money that mike has from the nickels

1 ( x - 0.2) = Amount of money that Mike has from the quarter

Then,

0.2x + 1 (x - 0.2) = 6

Expand the bracket

0.2x + x - 0.2x = 6

x = 6

Recall

x - 0.2 = 0

6 - 0.2 = 5.8

Therefore, Mike has 5.8 nickels for the quarter

Answer:

\(t=-5\)

Step-by-step explanation:

\(\frac{2t}{5} = \frac{t^{2} -5t}{5t}\), \(t\neq 0\)

\(\frac{2t}{5} = \frac{t(t-5)}{5t}\)

\(\frac{2t}{5} = \frac{t-5}{5}\)

\(2t = t-5\)

\(t=-5\)

This means that we can be 95% confident that the true population means examination score falls within this range based on the sample data.

The confidence interval estimate of the population means examination score can be calculated using the sample mean and the margin of error. The margin of error depends on the level of confidence and the sample size.

For example, if a sample of 100 applications provided a sample mean score of 80, and a 95% confidence level is used, the confidence interval estimate of the population mean examination score would be:

Margin of error = (critical value) x (standard error)

The critical value for a 95% confidence level with 99 degrees of freedom is 1.984. The standard error can be calculated using the formula:

Standard error = (standard deviation) / sqrt(sample size)

If the standard deviation of the examination scores is known, it can be used in the formula. If not, the sample standard deviation can be used as an estimate.

Assuming a sample standard deviation of 10, the standard error would be:

\(Standard\  error = \frac{10} { \sqrt{(100)}} = 1\)

Therefore, the margin of error would be:

Margin of error = 1.984 x 1 = 1.984

The confidence interval estimate of the population means examination score would be:

80 ± 1.984, or between 78.016 and 81.984.

This means that we can be 95% confident that the true population means examination score falls within this range based on the sample data.

learn more about confidence intervals,

https://brainly.com/question/24131141

#SPJ11

The 95% confidence interval for the population mean examination score would be between 72.23 and 77.77, to the

nearest whole number.

To determine the confidence interval estimate of the population mean examination score based on a sample mean

provided to the nearest whole number, we need to know the sample size and the level of confidence.

Assuming a normal distribution and a level of confidence of 95%, we can use the following formula to calculate the

confidence interval estimate:

Confidence interval = sample mean +/- (critical value) x (standard error)

The critical value can be found using a t-distribution table or a calculator, based on the sample size and degrees of

freedom (n-1). For a sample size of 30 or more, we can use the z-score instead of the t-score.

The standard error is the standard deviation of the sample divided by the square root of the sample size.

For example, if a sample of 50 applications provided a sample mean of 75, and the standard deviation was 10, the

standard error would be 10/sqrt(50) = 1.41.

Assuming a level of confidence of 95%, the critical value for a sample size of 50 and degrees of freedom of 49 would be 1.96.

Therefore, the confidence interval estimate would be:

75 +/- 1.96 x 1.41 = 75 +/- 2.77

for such more question on confidence interval

https://brainly.com/question/20309162

#SPJ11

Answer:

  x = 192

Step-by-step explanation:

The three right triangles in the figure are all similar, so their sides are proportional.

The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...

  400 -144 = 256

We now have enough information to write the proportion ...

  long side/short side = x/144 = 256/x

Multiplying by 144x gives ...

  x² = (144)(256)

  x = √(144×256) = 12×16 = 192

The length x is 192 units.

Answer:

B. y = -6

Step-by-step explanation:

You can graph each line to see which one is horizontal since the y-axis is vertical. This would make the lines perpendicular since when a vertical and horizontal line meet, they form a 90-degree angle, which is by definition what perpendicular means.

Answer:

i think that the answer is b. y=-6

The correct statements are:

A. P(TTTT, FBFB) = 0.027

B. P(HHHH, FBFB) = 0.081

C. P(TTTT, BFBF) = 0

D. P(HTHT, FBBF) > 0

To calculate the probabilities, let's break down each case step by step.

A. P(TTTT, FBFB)

The dealer starts with the fair coin (F) and switches coins after each flip with probability 0.3. Therefore, the sequence TTTT can be achieved with the following coin sequence: FBBF.

P(TTTT, FBFB) = P(T, F) * P(T, B) * P(T, B) * P(T, F)

= (0.5 * 0.3) * (0.4 * 0.3) * (0.4 * 0.3) * (0.5 * 0.3)

= 0.027

B. P(HHHH, FBFB)

Similarly, the sequence HHHH can be achieved with the coin sequence: FBBF.

P(HHHH, FBFB) = P(H, F) * P(H, B) * P(H, B) * P(H, F)

= (0.5 * 0.3) * (0.6 * 0.3) * (0.6 * 0.3) * (0.5 * 0.3)

= 0.081

C. P(TTTT, BFBF) = 0

To have the sequence TTTT with the coin sequence BFBF, the first coin must be biased (B). However, the dealer starts with the fair coin (F), so the probability is 0.

D. P(HTHT, FBBF) > 0

The sequence HTHT can be achieved with the coin sequence FBBF.

P(HTHT, FBBF) = P(H, F) * P(T, B) * P(H, B) * P(T, F)

= (0.5 * 0.3) * (0.4 * 0.3) * (0.6 * 0.3) * (0.5 * 0.3)

= 0.027

To know more about probabilities refer here:

https://brainly.com/question/29381779#

#SPJ11

Answer:

7.62

Step-by-step explanation:

Using Phythagoras' theorem...

Hyp^2 = a^2 + b^2

that is:

8^2 = 11^2 + r^2

64 = 121 + r^2

64-121 = r^2

58 = r^2

therefore r = sqrt of 58

NB: Not sure but there you go.

Answer:

r ≈ 3.6

Step-by-step explanation:

∠ OAB is right ( angle between tangent and radius at point of contact )

then Δ OAB is a right triangleΔ

using Pythagoras' identity in the right triangle

with hypotenuse OB = r + 8 , then

OB² = OA² + AB² , that is

(r + 8)² = r² + 11²

r² + 16r + 64 = r² + 121 ( subtract r² from both sides )

16r + 64 = 121 ( subtract 64 from both sides )

16r = 57 ( divide both sides by 16 )

r = \(\frac{57}{16}\) ≈ 3.6 ( to the nearest tenth )

The false principle of Agile Development is D - Complexity is essential to development processes.

What is Agile Development?

Teams use the iterative agile development methodology for software development. Cross-functional, self-organized teams frequently adapt projects by analyzing the environment and user requirements.

The principle of Agile Development that is NOT correct is - "Complexity is essential to development processes".

In fact, Agile Development principles emphasize simplicity and minimizing complexity wherever possible.

This is because complexity can lead to a slower development process, difficulty in making changes, and increased risk of errors or bugs.

The other three principles listed are accurate principles of Agile Development.

Therefore, the incorrect option is D.

To learn more about Agile Development from the given link

https://brainly.com/question/29545046

#SPJ1

The simplified form of the given expression is 21/18.

Given that, 35 - 14 divided by 2 + 8².

We need to simplify the given expression.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

Now, 35 - 14 divided by 2 + 8²= (35 - 14)/(2 + 8²)

=21/(2+16)

=21/18

Therefore, the simplified form of the given expression is 21/18.

To learn more about simplifying an expression visit:

https://brainly.com/question/403991.

#SPJ2

The given linear regression model wages = β0~ + β1~ Education + u~ aims to explain the relationship between wages and education level.

To determine if this model accurately measures the returns to education, we need to consider a few factors.
1. Assumptions: Linear regression models rely on several assumptions, such as linearity, independence, homoscedasticity, and normality of residuals. Violation of these assumptions can affect the accuracy of the model's estimates. It is important to check if these assumptions hold in the context of the wages and education relationship.

2. Significance of β1: The coefficient β1 represents the estimated effect of education on wages. A statistically significant and positive β1 indicates that an increase in education level is associated with higher wages. However, if β1 is not statistically significant, it suggests that education may not have a significant impact on wages.

3. Magnitude of β1: Even if β1 is statistically significant, the magnitude of the coefficient is essential in measuring the returns to education accurately. A larger β1 implies a higher increase in wages for each additional unit of education. Conversely, a smaller β1 suggests a lower return to education.

4. Control Variables: The model may need to consider other factors that could influence wages, such as experience, gender, or industry. By including relevant control variables, the model can better isolate the effect of education on wages and provide a more accurate measure of returns.

5. Data Quality: The accuracy of the model's estimates relies on the quality and representativeness of the data used. The dataset should encompass a wide range of education levels, wages, and relevant variables to obtain robust and reliable estimates.

To know more about linear regression refer to:

https://brainly.com/question/25987747

#SPJ11

Given that the study was conducted using a sample of 513 bolts produced at a single facility when there is no bias resulting from data gathering procedures, broad inferences may then be drawn.

All bolts manufactured by that factory would be covered by the conclusion?

Due to the fact that bolts made in the same factory will follow the results of an analysis of a sample made up of bolts from the same factory. The finding or conclusion would therefore be applicable to all bolts produced in the same factory because the environment for experimentation and production is the same there while it may differ in other factories. Conclusions from the study may not apply to the bolts made by other companies as a result of this bias.

To learn more about Random Sample, visit:

https://brainly.com/question/13219833

#SPJ4

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

Find out more on job element's normal time at https://brainly.com/question/19952926

#SPJ4

Answer:4.25

Step-by-step explanation: because it is daddy

Answer:

a, 6.63324958....

Step-by-step explanation:

The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

To learn more about probability visit

https://brainly.com/question/9793303

#SPJ4

Answer:

They are all ready rounded to the nearest Hundred ??

Step-by-step explanation:

They are already

Answer:

first one is 5000 and second one is 2000

Step-by-step explanation

I learned this already

The indefinite integral \($\int x^2e^{3x^2} dx\) evaluated as an infinite series is \(\frac{x^3}{3} + \frac{3x^5}{2! \cdot 5} + \frac{3^2 x^7}{3! \cdot 7} + \dots$\) and the indefinite integral \($\int x \sin(4x^5) , dx\)evaluated as an infinite series is \(\left(\frac{2}{7}x^7\right) - \left(\frac{4^3}{3! \cdot 13}x^{13}\right) + \left(\frac{4^5}{5! \cdot 19}x^{19}\right) - \left(\frac{4^7}{7! \cdot 25}x^{25}\right) + \ldots$\)

To evaluate the indefinite integral \($\int x^2 e^{3x^2} dx$\) as an infinite series, we can use the power series expansion of the exponential function.

The power series expansion of \(e^u\) is given by \($e^u = 1 + u + \frac{u^2}{2!} + \frac{u^3}{3!} + \dots$\)

Using this expansion, we can rewrite the integrand as \($x^2e^{3x^2} = x^2\left(1 + \left(3x^2\right) + \frac{\left(3x^2\right)^2}{2!} + \frac{\left(3x^2\right)^3}{3!} + \dots\right)$\)

Now, we can integrate each term of the series individually. The integral of \(x^2\) is \((x^3 / 3)\), and the integral of \(x^{2n}\) is \((x^{(2n+1)} / (2n+1)(n!))\) for n > 0.

Therefore, the integral becomes \($\int x^2e^{3x^2} dx = \frac{x^3}{3} + \frac{3x^5}{2! \cdot 5} + \frac{3^2 x^7}{3! \cdot 7} + \dots$\)

To evaluate the indefinite integral \($\int x \sin(4x^5) dx$\) as an infinite series, we can use the power series expansion of the sine function.

The power series expansion of sin(u) is given by \($\int x \sin(4x^5) dx = \int x \left(4x^5 - \frac{(4x^5)^3}{3!} + \frac{(4x^5)^5}{5!} - \frac{(4x^5)^7}{7!} + \ldots \right) dx$\)

Using this expansion, we can rewrite the integrand as \($x \sin(4x^5) = x \left(4x^5 - \frac{(4x^5)^3}{3!} + \frac{(4x^5)^5}{5!} - \frac{(4x^5)^7}{7!} + \ldots\right)$\)

Now, we can integrate each term of the series individually. The integral of \(x(4x^5)\) is \((2x^7)\), and the integral of \(x^(2n+1)\) is \((2x^{(2n+2)} / (2n+2))\) for n > 0.

Therefore, the integral becomes \($\int x \sin(4x^5) , dx = \left(\frac{2}{7}x^7\right) - \left(\frac{4^3}{3! \cdot 13}x^{13}\right) + \left(\frac{4^5}{5! \cdot 19}x^{19}\right) - \left(\frac{4^7}{7! \cdot 25}x^{25}\right) + \ldots$\)

Learn more about power series expansion here:

https://brainly.com/question/16774911

#SPJ11

The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.

This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.

To know more about the arithmetic mean, visit:

https://brainly.com/question/29445117

#SPJ11

If two figures have the same shape and their respective sides are equal, they are said to be congruent.

A collection of size n coordinates is used to describe a point's location in relation to another point or system of coordinates. The Cartesian coordinates system, where it employs vertical planes lines (axes) to describe a plane and determines a point's location by its distance from each axis, is the most widely used guidelines. The x and y coordinates of an object in an a double Cartesian coordinate system confident and assertive its horizontal and vertical positions. For instance, the point (2, 3) depicts a point that is 3 spaces above the x-axis and 2 units to the right of the center (the place where the axes intersect). This point has an x-coordinate of 2 and just a y-coordinate of 3.

given

Congruent figures such as translation, reflection, and rotation are produced by rigid transformations, which maintain structure and size.

If two figures have the same shape and their respective sides are equal, they are said to be congruent.

Triangle ABC is rotated into triangle DEF according to the formula (x, y) (-x, y)

ABC= (-3,1), (-5,2). (-4, 5)

A'B'C= (3,1), (4,4), (2,5) (2,5)

If two figures have the same shape and their respective sides are equal, they are said to be congruent.

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ4

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

Let us know more about problem-solving : https://brainly.com/question/31606357.

#SPJ11

  The option D is the correct answer.

a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.

b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.

c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.

d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.

To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.

To know more about angles here::

brainly.com/question/10451301

#SPJ11