It is in the picture Thanks :D

Answer:

3/4

Step-by-step explanation:

2/3=8/12

3/4=9/12

Common denominator: 12

larger fraction: 3/4

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eighteen fahrwnheit    

goodluck :)

Answer:

22 degrees celsius turns to 71.6 into fahrenheit.

hello

to solve this problem, let's represent the first consecutive number with x and the second with x + 2

from the information on the question, we can set out an equation here

let's solve this equation

step 1

collect like terms

step two

divide both sides by the coefficient of x

Answer:

y = 1/2x - 1

(fraction form)

or

y = 0.5x - 1

(decimal form)

Step-by-step explanation:

To graph:

Another suggestion, is to use Desmos Graphing Calculator (website) and just plug in the points to see where to graph.

Hope this helps! :)

The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

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The average speed of the student for his entire walk is equal to 1.5 m/s. Therefore, option (b) is correct.

What is the average speed?

The average speed of a body is calculated as the total distance traveled in a fixed interval of time. The average speed can be determined by dividing the total distance traveled by a body by the total time.

The average velocity is a single value if the object moves uniformly. Speed is a scalar quantity, it has no specified direction. The average speed has the S.I. unit the same as velocity i.e. m/s.

Given the distance covered by a student in first 80 sec = 100m

After stooping for 30sec again cover a distance of 200m in 90sec.

The total distance traveled by the student = 100 + 200 = 300m

The time taken by student to cover distance =  80 + 30 +90 = 200 sec

The average speed of the student = total distance/ total time taken

                                                          = 300/200 = 1.5 m/s

Therefore, the average speed of the student is equal to 1.5m/s.

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The required sample (with at least two different values in the set) of 3 measurements whose mode is 6 is {2, 6, 6}.

Mode refers to the most frequent observation. To calculate the mode of a sample, we have to look for the most commonly occurring value in the dataset. Therefore, to construct a sample of three measurements whose mode is 6, we have to include the number 6 in the sample at least two times.

Let's assume the following sample values:

2, 6, 6

Since we have two occurrences of the number 6 in the sample, the mode is 6.

Therefore, we can construct a sample of three measurements whose mode is 6 by including the values 2, 6, and 6.

Hence, the required sample (with at least two different values in the set) of 3 measurements whose mode is 6 is {2, 6, 6}.

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Answer:

Step-by-step explanation:

Straights line distance is 3.6 mile

Distance travel toward west = 3 mile

Distance travel toward north = 2 mile

Straights line distance

Straights line distance is hypotenuse distance

So,

Straights line distance is hypotenuse distance = √3² + 2²

Straights line distance is hypotenuse distance = √9 + 4

Straights line distance is hypotenuse distance = √13

Straights line distance is hypotenuse distance = 3.6 mile (Approx.)

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Answer: she made 77 dollars

Step-by-step explanation:

121 divided by 22 is 5.5

5.5 will be her pay rate per hour

5.5 times 14 is 77

Answer:

77 dollars

Step-by-step explanation:

We can use ratios to solve

121 dollars      x dollars

--------------- = --------------------

22 hours         14 hours

Using cross products

121 * 14 = 22x

Divide each side by 22

121 * 14/22 = x

77 =x

Answer:2*2*3*3

Step-by-step explanation:

Construct a 95% confidence interval for the expected difference in average test scores between the small class (Classroom A) and the regular class (Classroom B),

a. You can follow these steps:
1. Refer to column (4) of Table 13.2 and find the results for the regressors.
2. Calculate the standard error of the difference in average test scores using the formula:
  SE(difference) = sqrt[SE(Classroom A)^2 + SE(Classroom B)^2]
  where SE(Classroom A) and SE(Classroom B) are the standard errors for each class.
3. Calculate the margin of error (ME) by multiplying the critical value (z*) corresponding to a 95% confidence level by the standard error (SE).
4. Finally, construct the confidence interval by subtracting the margin of error from the difference in average test scores and adding it to the difference in average test scores.

b. To construct a 95% confidence interval for the expected difference in average test scores between the small class with a teacher with 5 years of experience (Classroom A) and the regular class with a teacher with 10 years of experience (Classroom B), you can follow similar steps as in part a. However, this time you need to account for the difference in teacher experience as a regressor.

c. To construct a 95% confidence interval for the expected difference in average test scores between the small class with a teacher with 5 years of experience (Classroom A) and the regular class with a teacher with 10 years of experience (Classroom B), you can follow similar steps as in part a. However, this time you need to consider both the class type and teacher experience as regressors.

d. The intercept is missing from column (4) because it represents the expected average test score when all the regressor variables are equal to zero. In this case, the intercept is not relevant to the question being asked, so it is not included in the table.

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Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5

Answer:

four and six one hundredths

406/100

4.06 = (4 x 1) + (0/10) + (6/100)

Answer:

2/7

Altogether there're 7 marbles. Let,probability of getting blue and red marbles be 'B' and 'R' respectively.

In 1st pick

Probability of getting red marble is 4/7

So, there's the probability that the ball in 1st pick may be either blue or red.

So,if the marble is red then we've to eliminate that red marble ( cause,question says so)

Then,in 2nd pick

Probability of getting red ball will be 3/6(if we eliminate that red ball then the total number of marbles will also be 6)

Now,

Probability of getting two red will be

(4/7)×(3/6)

=2/7

It would be more easier to do by tree diagram. Since,I didn't find it convenient here,it may be not so much helpful.But, I tried my best. Hope you are clarified.

DenClue is founded on a solid mathematical model for finding density attractors in the dataset under analysis.

DenClue (Density-based Clustering) is a clustering algorithm that aims to identify dense regions in a dataset, known as density attractors. The algorithm is based on a solid mathematical model that enables the detection of these density attractors.

The mathematical model used in DenClue is rooted in the concept of density estimation. It employs a kernel density estimation technique, where each data point contributes to the estimation of the underlying density function. The density function describes the distribution of data points in the dataset.

By analyzing the density function, DenClue identifies regions with high density as density attractors. These attractors represent clusters or groups of data points that are tightly packed together, indicating significant patterns or structures within the dataset.

The mathematical model utilized in DenClue ensures that the algorithm is based on rigorous mathematical principles and statistical analysis. This foundation allows for accurate and reliable identification of density attractors, leading to effective clustering of the dataset.

Overall, the solid mathematical model underlying DenClue provides a robust framework for density-based clustering, facilitating the exploration and understanding of complex datasets by revealing meaningful patterns and structures through the identification of density attractors.

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Answer:

-51

Step-by-step explanation:

4xy + 2y^2-z

4(5)(-4) +2(-4)^2 -3

(20)(-4) + 2(-4)^2 -3

-80 +(2)(16) - 3

-80 + 32 - 3

-48-3

-51

Answer:

y =-1/4x - 10

Step-by-step explanation:

just got this question correct on my test

Answer:

Its B

Step-by-step explanation:

We can estimate the sample size needed for a certain confidence level, admisible error and population proportion using the Cochran's formula:

We don't have an estimation for p, the population proportion, but we will take the worst case scenario (therefore, the sample size will cover if the proportion is different), that is p=0.5.

This value of p will give us the maximum value for p(1-p) and therefore a sample size that will cover all the possible values of p.

The value of Z depends on the level of confidence, that is 99.9%. Then, the value of Z can be looked up in the standard normal distribution:

As the true proportion has to be within +/- 2.5% of the estimated proportion. the error e is 2.5%, so its value is:

Then, we can calculate the sample size using Z=3.291, p=0.5 and e=0.025:

Answer: n=4,333.

The sample size has to be at least 4,333 to have a 99.9% confidence that the estimation will be within +/- 2.5% of the true population.

Answer:

a =b = \(\frac{5\sqrt{5} }{5}\)

Step-by-step explanation:

\(a^{2} +b^{2} = 5 ^{2}\)

a = b

\(2a^{2} = 5 ^{2}\)

\(2a^{2} = 25\\\)

\(a^{2} = \frac{25}{5}\)

a = \(\frac{5}{\sqrt{5} }\)

must rationalize...

a =b = \(\frac{5\sqrt{5} }{5}\)

To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.

Constructing a matrix D such that AD=I2

Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:

D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

To verify that AD=I2, we can compute the matrix product:

AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

= [0 0 -1 0; 0 0 0 -1]

= -I2

Note that D only uses 1 and 0 as entries.

Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:

C = [c11 c12; c21 c22; c31 c32; c41 c42]

Then, we can compute CA as:

CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]

= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]

Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.

Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.

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The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

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Answer:

p/m^8

Step-by-step explanation: because the 0 in p^0 would be erelivant so you would divide those to letters together getting that awser

The length of each side of the octagon is 6 cm

It is a polygon with eight sides and eight angles. There are a total of 20 diagonals in it. All its interior angles sum up to 1080°.

Given that, a regular octagon has an area of 288 square centimeters and an apothem of 12 cm.

We need to find the side of the octagon,

We know that area of the octagon = 8/2 × side × apothem

Therefore,

288 = 8/2 × side × 12

side = 288 / 48

side = 6

Hence, the length of each side of the octagon is 6 cm

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The mean is higher than the median because the data is skewed to the right. The median is more resistant to the skew in the data.

To calculate the standard deviation of the number of lines in use that this support center expects to have at noon, we would need to have a dataset of the number of lines in use at different times.

If we have this dataset, we can use the following formula to calculate the standard deviation:

Standard deviation = √(sum((x - mean)²) / n)

Where:

x is the number of lines in use at a given time

mean is the mean of the number of lines in use across all times

n is the total number of times in the dataset

We can calculate the mean of the number of lines in use by adding up all the values and dividing by the total number of times. Once we have the mean, we can calculate the standard deviation using the formula above. However, without access to the dataset, it is not possible to provide a specific answer.

Therefore, The mean is higher than the median because the data is skewed to the right. The median is more resistant to the skew in the data.

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Complete question:

Let the random variable X represent the number of telephone lines in use by the technical support center of a software manufacturer at noon each day. The probability distribution of X is shown in the table below.

In a sentence of two, comment on the relationship between the mean and the median relative to the shape of this distribution.

The average angle that the hill makes with the horizontal is approximately 6.3 degrees, rounded to the nearest tenth of a degree.

To find the average angle that the hill makes with the horizontal, we need to use trigonometry. Specifically, we will use the tangent function, which relates the opposite (in this case, the vertical drop) to the adjacent (in this case, the horizontal distance) of a right triangle.

First, we need to find the length of the hypotenuse, which represents the length of the slope. We can use the Pythagorean theorem:

c^2 = a^2 + b^2

where c is the hypotenuse, a is the vertical drop, and b is the horizontal distance.

In this case, a = 60 ft and b = 550 ft. So:

c^2 = 60^2 + 550^2
c^2 = 304,600
c = √304,600
c ≈ 552.2 ft

Now that we know the length of the hypotenuse, we can use the tangent function:

tan(θ) = opposite/adjacent

where θ is the angle we want to find. In this case, the opposite is the vertical drop (60 ft) and the adjacent is the horizontal distance (550 ft).

tan(θ) = 60/550
tan(θ) ≈ 0.109

To find θ, we need to take the inverse tangent (also known as the arctangent) of 0.109.

θ ≈ arctan(0.109)
θ ≈ 6.3 degrees

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