a student makes a short elctro magnett by winding 380 turns of wire around cylender of simater 4.7 cm the coil is connected to a battery pr

The correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores. This suggests that as study times increase, there is a tendency for test scores to also increase. However, the relationship is not extremely strong.

The correlation coefficient, denoted by 'r', ranges from -1 to 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other tends to increase as well. In this case, the correlation coefficient of 0.49 indicates a moderate positive relationship between study times and test scores.

It's important to note that the correlation coefficient of 0.49 falls between 0 and 1, closer to 1. This suggests that there is a tendency for test scores to increase as study times increase, but the relationship is not extremely strong. Other factors may also influence test scores, and the correlation coefficient does not imply causation.

To learn more about correlation coefficient click here : brainly.com/question/29978658

#SPJ11

Answer:

53 pushes

Step-by-step explanation:

Total Volume of soap = 474 mL

Volume per push = 8mL

Mimimum volume required = 50mL

The equation which represents the number of push, x that can be made :

Total volume = minimum volume + (volume per push * number of pushes)

Total volume = 50 + (8 * x)

474 ≤ 50 + 8x

474 - 50 ≤ 8x

424 ≤ 8x

53 ≤ x

The number of pushes that can be made = 53

The fourth number is 35. To find the fourth number, we need to consider the given information.

The sum of the three initial numbers is 45, which means their average is 45 divided by 3, resulting in 15. Since the average of the four numbers is 20, the sum of all four numbers must be 20 multiplied by 4, which is 80. Therefore, the fourth number is 80 minus the sum of the three initial numbers (80 - 45), which equals 35. Therefore, the fourth number is 35, and when it is added to the three initial numbers (with a sum of 45), the average of the four numbers becomes 20.

Learn more about numbers here: brainly.com/question/17675434

#SPJ11

Only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

The second-order homogeneous linear differential equation is given as:y'' - 9y' + 18y = 0This differential equation is a linear homogeneous equation. We will have two roots of the characteristic equation: r1 = 3, r2 = 6So, the general solution to the differential equation is given as:y = c1e3x + c2e6xwhere c1 and c2 are arbitrary constants.a. y(x) = e6x is a solution because it is a part of the general solution of the differential equation.y(x) = e−x, y(x) = 0, y(x) = 6x, y(x) = 3x, y(x) = ex are not solutions because they don't satisfy the differential equation. Hence, the correct options are:a. y(x) = e6xTherefore, only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

Learn more about diffential equation here,

https://brainly.com/question/28099315

#SPJ11

Answer:

132 mg

Step-by-step explanation:

The area of the given diagram is 270sq.metre

The area of Rectangle is length times of width.

In the given figure there we can see three rectangles.

Let us divide each length to three parts.

The length 27m is divided into 3 we get

27/3=9m.

Hence each rectangle has 9m of length.

The width 30m is divided into 3 parts we get,

30/3=10m.

Hence area of each rectangle is 9×10=90 sq. m

Total area of diagram will be

3 times of 90.

270 sq.m.

Hence the area of the given diagram is 270sq.metre

To learn more on Area of rectangle click:

https://brainly.com/question/20693059

#SPJ1

We need to find the area of a rectangle. The area of a rectangle is given by:

The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:

Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:

First, we need to subtract the last payment from the last month's balance.

Then, apply the interest:

Answer:

Step-by-step explanation:

Plan A remains with $450 stable charge and Plan B is:

In order Plan B to be cheaper we set an inequality:

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

Answer:

d

Step-by-step explanation:

in c greatest common factor is 8

But in D

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 20 = 1, 2, 4, 5, 10, 20

Look only 4 is GCF

Answer:

An equation that represents the line is:

y = 3/4x - 9/2

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the attached graph of a line.

Taking two points from the line, such as

Determining the slope between (2, -3) and (0, 6)

\(\left(x_1,\:y_1\right)=\left(2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(6,\:0\right)\)

\(m=\frac{0-\left(-3\right)}{6-2}\)

refine

\(m=\frac{3}{4}\)

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation

y = mx + b

\(\left(-3\right)=\frac{3}{4}\left(2\right)+b\)

\(\frac{3}{2}+b=-3\)

subtract 3/2 from both sides

\(\frac{3}{2}+b-\frac{3}{2}=-3-\frac{3}{2}\)

\(b=-\frac{9}{2}\)

now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation

y = mx + b

y = 3/4x + (-9/2)

Therefore, an equation that represents the line is:

y = 3/4x - 9/2

The value of x is 24

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

2/10 = 3/(x-9)

Do cross multiplication

2(x-9) = 10*3 = 30

2x-18=30

2x=30+18=48

x=48/2=24

So, the value of x is 24

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

Answer:

2

Step-by-step explanation:

3.60+3.60=7.20 thats correct

Answer:

The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 .

Step-by-step explanation:

Given as :

The slope of a line = m = 2

The line is passing through point =  ,   = 3 , 10

Now, Equation of line in point- slope form

y -   = m × (x - )

Or, y - 10 = 2 × (x - 3)

Or, y - 10 = 2 × x - 2 × 3

Or, y - 10 = 2 x - 6

Or, y = 2 x - 6 + 10

Or, y = 2 x + 4

So, The equation of line  y = 2 x + 4

Hence, The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 . Answer

Answer:

Step-by-step explanation:

9.6×10^9=96/10 ×10^9=96×10^8=9,600,000,000

To prove the statement, we can consider the group homomorphism called the sign homomorphism from Sn to the group Z2, where Sn is the symmetric group on n elements and Z2 is the group of integers modulo 2.

Let's denote the sign homomorphism as ε: Sn → Z2. It maps a permutation in Sn to its parity, i.e., whether it is an even or odd permutation.

By definition, the kernel of the sign homomorphism ε is the set of even permutations in Sn. Let's denote this subgroup as K = ker(ε).

Now, consider a subgroup H of Sn. We know that the intersection of two subgroups is also a subgroup. Therefore, the intersection H ∩ K is a subgroup of both H and K.

Now, let's consider the cosets of H ∩ K in H. By the Lagrange's theorem, the index of H ∩ K in H, denoted [H:H ∩ K], divides the order of H, denoted |H|. Since |H| = |H ∩ K| * [H:H ∩ K], we can conclude that [H:H ∩ K] is either 1 or 2.

If [H:H ∩ K] = 1, then H = H ∩ K, which means every member of H is in K, i.e., every member of H is an even permutation.

If [H:H ∩ K] = 2, then there are exactly two cosets of H ∩ K in H. Since the index is 2, each coset has the same number of elements. One of the cosets corresponds to even permutations, as it contains K. The other coset corresponds to odd permutations. Therefore, exactly half of the members of H are even permutations.

Thus, we have shown that if H is a subgroup of Sn, then either every member of H is an even permutation or exactly half of the members are even permutations.

To learn more about permutation refer below:

https://brainly.com/question/30967955

#SPJ11

Answer:

The mean, median, and mode are all equal.

Step-by-step explanation:

For a distribution that is symmetric, the following statement is true:

The mean, median, and mode are all equal.

In a symmetric distribution, the data is evenly distributed around the center, resulting in a balanced shape. The mean, median, and mode represent different measures of central tendency. In a symmetric distribution, these three measures coincide, meaning they have the same value.

Given the above condition, the result may translate to "Sample size and effect size."

What is Effect Size in Research?

Increasing the sample size always increases the likelihood of finding a statistically significant impact, regardless of how tiny the effect is in the actual world. In contrast, effect sizes are not affected by sample size. To compute effect sizes, just the data is utilized.

In contrast to significance tests, the effect size is not affected by sample size. Statistical significance, on the other hand, is determined by both the sample size and the effect size.

The greater the impact size, the greater the difference between the typical person in each group. A d of 0.2 or less is regarded a minor impact size, a d of roughly 0.5 is considered a medium effect size, and a d of 0.8 or above is considered a high effect size.

Learn more about Effect Size here:

brainly.com/question/27960293

#SPJ4

Answer:

Step-by-step explanation:

dy/dt=-72/9=-8ft/s

The sample mean is 16.00 and the sample variance is 0.0167. The probability of obtaining a z-score of 0 is 0.5, so the probability of obtaining a sample mean of 16.00 when the true mean is 16.00 is 0.5.

The sample mean and sample variance can be calculated using the following formulas:

Sample mean = (sum of all values) / (number of values)

Sample variance = [(sum of (each value - sample mean)^2)] / (number of values - 1)

a. To calculate the sample mean, we add up all the values and divide by the number of values:

Sample mean = (16.13 + 16.02 + 15.90 + 15.83 + 16.00 + 15.79 + 16.01 + 16.04 + 15.96 + 16.20) / 10

Sample mean = 16.00

To calculate the sample variance, we subtract the sample mean from each value, square the result, add up all the squared values, and divide by the number of values minus 1:

Sample variance = [(16.13 - 16.00)^2 + (16.02 - 16.00)^2 + (15.90 - 16.00)^2 + (15.83 - 16.00)^2 + (16.00 - 16.00)^2 + (15.79 - 16.00)^2 + (16.01 - 16.00)^2 + (16.04 - 16.00)^2 + (15.96 - 16.00)^2 + (16.20 - 16.00)^2] / (10 - 1)

Sample variance = 0.0167

b. To calculate the probability of obtaining such a sample mean, we need to use the standard error of the mean (SEM), which is the standard deviation of the sample mean. The SEM is calculated using the following formula:

SEM = (sample standard deviation) / (square root of the number of values)

The sample standard deviation is the square root of the sample variance, so:

Sample standard deviation = sqrt(0.0167) = 0.1293

SEM = 0.1293 / sqrt(10) = 0.0409

The probability of obtaining a sample mean within a certain range of the true mean can be calculated using the z-score, which is the number of standard deviations a value is from the mean. The z-score is calculated using the following formula:

z-score = (sample mean - true mean) / SEM

For this question, the sample mean is 16.00, the true mean is 16.00, and the SEM is 0.0409, so:

z-score = (16.00 - 16.00) / 0.0409 = 0

The probability of obtaining a z-score of 0 is 0.5, so the probability of obtaining a sample mean of 16.00 when the true mean is 16.00 is 0.5.

Note: The question is incomplete. The complete question probably is: When a sample of 10 cereal boxes of a well-known brand was reweighed, it gave the following weights (in ounces): 16.13 16.02 15.90 15.83 16.00 15.79 16.01 16.04 15.96 16.20 a. What is the sample mean? And the sample variance? b. If the true mean weight per box was 16 ounces, what is the probability of obtaining such a (sample) mean?

Learn more about Sample mean:

https://brainly.com/question/18525350

#SPJ11

Answer:

Inscribed angle

Step-by-step explanation:

Central angles have the vertex as the center of the circle, and chords are not angles

The construction on page 734 involves a step-by-step process to solve a specific problem or demonstrate a mathematical concept.

The construction on page 734 is a methodical procedure used in mathematics to solve a particular problem or illustrate a concept. It typically involves a series of steps that are carefully chosen and executed to achieve the desired outcome.

The purpose of the construction can vary depending on the specific context, but it generally aims to provide a visual representation, demonstrate a theorem, or solve a given problem.

In the explanation provided on page 734, the construction steps are detailed and justified. Each step is crucial to the overall process and contributes to the final result.

The author likely presents the reasoning behind each step to help the reader understand the underlying principles and logic behind the construction.

It is important to note that without specific details about the construction mentioned on page 734, it is challenging to provide a more specific explanation. However, it is essential to carefully follow the given steps and their justifications, as they are likely designed to ensure accuracy and validity in the mathematical context.

Learn more about Construction

brainly.com/question/33434682

#SPJ11

Hayley will travel from Telford Central to Shrewsbury in 0 hours and 21 minutes if she takes the quickest route.

Based on the timetable provided, the fastest option for Hayley to get from Telford Central to Shrewsbury is by taking the 0915 train from Wellington to Shrewsbury, which arrives at 0920. Therefore, the total time it will take her is 21 minutes (from 0805 departure of Wellington to 0920 arrival in Shrewsbury).

To convert 21 minutes to hours and minutes, divide 21 by 60 to get the decimal value of 0.35 hours. Then convert the decimal value to minutes by multiplying it by 60, which gives:

0.35 hours × 60 = 21 minutes

So, it will take Hayley 0 hours and 21 minutes to get from Telford Central to Shrewsbury taking the fastest option.

Find out more on time here: https://brainly.com/question/2854969

#SPJ1

1,500

Step-by-step explanation:

You multiply 75 times 20

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, used to represent data or solve mathematical problems.

A matrix is an array of numbers, symbols, or expressions arranged in rows and columns. It is used to represent data or solve mathematical problems. To create a matrix, you can either write each element in the array on its own line or group them together into rows and columns. For example, to create a 2x2 matrix, you can have four elements, such as 1, 2, 3, and 4, arranged into two rows and two columns. The first row would contain 1 and 2, and the second row would contain 3 and 4. Matrices can also be used to solve equations. For example, if you want to solve the equation X+Y=5, you can create a matrix with two columns and one row. The first column would contain X and the second column would contain Y. The row would contain 5. Then, you can use row operations to solve the equation and find the values of X and Y.

Learn more about numbers here

https://brainly.com/question/28210925

#SPJ4

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

Answer:

\(y = -\frac{1}{2}x -7\)

Step-by-step explanation:

\((-2,-6) =(x_1,y_1)\\\\m = -\frac{1}{2}\)

Substitute values into point-slope form

\(y-y_1=m(x-x_1)\\\\y -(-6)=-\frac{1}{2} (x -(-2))\\\\y+6 = -\frac{1}{2} (x+2)\\\\y +6 =-\frac{1}{2}x -1\\\\y =-\frac{1}{2}x -1-6\\\\y = -\frac{1}{2}x -7\)

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

learn more x and y-intercepts here: https://brainly.com/question/14180189

#SPJ1