What are the first, second, and third quartiles from the set of
data: (3,4,5,6,7,37,100)?

There are 85,860 ways the runners can finish first, second, and third in the race.

The number of ways the runners can finish first, second, and third can be calculated using the concept of permutations.

For the first position, there are 45 runners who can finish first.

For the second position, there are 44 runners left who can finish second (since one runner has already finished first).

For the third position, there are 43 runners remaining who can finish third (since two runners have already finished).

The total number of ways the runners can finish first, second, and third is given by the product of these individual possibilities:

Number of ways = 45 * 44 * 43 = 85,860

Therefore, there are 85,860 ways the runners can finish first, second, and third in the race.

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Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

Answer:

34 degrees

Step-by-step explanation:

anglePRS is 17 degrees

angle QRT is also 17 degrees

angle qrt +prs =34 degrees

Answer:

5/12

Step-by-step explanation:

Answer:7/12

Step-by-step explanation: 5+3+4=12 12-5= 7/12

Answer:

45 m^2

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

Since it's y = 2,

there's no slope

So y = 4 is parallel to y = 2

y = 4 goes through the point (3, 4) since it's just one horizontal line hitting the y-axis

Answer:  x = √105

Step-by-step explanation:

a² + b² = c²

8² + x² = 13²

64 + x² = 169

x² = 105

x = √105

Answer:

no but choose b if u don't know it it usually works for me sorry if I don't help :(

Answer:

y=-3x is the bottom right one

y=4x is the top middle

y=x-3 is the top right one

Step-by-step explanation:

Answer:

Log Linear Model : log y = a + bx. Slope 'b' represent % change in ice cream sale, due to unit change in temperature.

Step-by-step explanation:

Assuming a log linear regression model, with dependent variable 'y' ie Ice cream sale & independent variable 'x' ie temperature sale.

In form of regression, log y = a + bx  {a = intercept}. Here, slope b represents response of one unit change (Increase) in temperature leading to b% change (ie rise) in ice cream consumption. Slope coefficient 'b' is likely to be positive, as temperature & ice cream sale are likely to be directly related, higher temperature (hot weather) imply high ice cream sale, & vice versa less sales for lower temperature (cool weather)

The closest measurement in square inches to the overall surface area of the candle is 87.92 square inches.

To find the total surface area of the candle, we need to calculate the lateral surface area (excluding the top and bottom) and then add the areas of the two circular bases.

1. Lateral Surface Area:

The formula for the lateral surface area of a cylinder is given by A = 2πrh, where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the candle is 4 inches, we can calculate the radius by dividing the diameter by 2:

Radius (r) = 4 inches / 2 = 2 inches

Height (h) = 5 inches

Using the formula, we can calculate the lateral surface area:

Lateral Surface Area = 2π(2 inches)(5 inches) = 20π square inches

2. Base Area:

The formula for the area of a circle is given by A = πr^2, where r is the radius of the circle.

Using the radius calculated earlier (r = 2 inches), we can calculate the area of each circular base:

Base Area = π(2 inches)^2 = 4π square inches

3. Total Surface Area:

To find the total surface area, we add the lateral surface area and the areas of the two circular bases:

Total Surface Area = Lateral Surface Area + 2(Base Area)

Total Surface Area = 20π + 2(4π) = 20π + 8π = 28π square inches

Approximating the value of π to 3.14, we can calculate the approximate total surface area:

Total Surface Area ≈ 28(3.14) = 87.92 square inches

Therefore, the closest measurement to the total surface area of the candle in square inches is 87.92 square inches.

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Answer:

Step-by-step explanation:

The formula to approach this shall be:

( Final price - Initial price )/ Final price × 100/1 ............. 1

Hence for the snow shovels

Initial price = $241.50 for 7

Each will cost = $241.50/7

= $34.5

Final price for snow shovels

= $105.57 for 3 shovels

Each will cost = $105.57/3

= $35.19

Now considering the bags of salt

Initial price = $6.20 each

Final price = $39.06 for 6 bags

Each bag cost = $39.06/6

= $6.51

Now apply the formula in equation (1)

For snow shovels

($35.19- $34.5)/$34.5 × 100/1

= 0.69/34.5 × 100/1

= 0.02×100/1

= 2%

For bags of salt

($6.51-$6.20)/$6.20 ×100/1

0.31/6.20×100/1

0.05×100/1

= 5%

Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.

Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

Using Simpson's Rule, the cardiac output can be estimated by approximating the area under the curve formed by the dye concentration readings at two-second intervals.

Simpson's Rule is a numerical method used to approximate definite integrals by dividing the interval into subinterval and applying a weighted average of function values. In this case, we have the time (t) and dye concentration (c(t)) readings at two-second intervals.

To estimate the cardiac output, we need to find the integral of the concentration function over the given time interval. Simpson's Rule can be applied by dividing the interval into subintervals (in this case, 0-12 seconds) and using the given function values to calculate the approximate integral.

By applying Simpson's Rule to the given data, the cardiac output can be estimated by calculating the weighted average of the function values and multiplying it by the width of the subintervals.

Please note that since the table is incomplete, providing the exact calculation and result of the cardiac output is not possible without additional data.

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Answer:

(1,3) is the answer.

Step-by-step explanation:

hope you get it right!!

1. Observations: The boxplot graph reveals the distributions of corn yield for the 'Regular seed' and 'Kiln-dried seed.'

Both distributions appear approximately symmetric without any clear skewness. The center of the 'Kiln-dried seed' distribution seems to be slightly higher than the center of the 'Regular seed' distribution.

2. 95% Confidence Interval: Using Minitab, the 95% confidence interval for μ1-μ2 is (-28.88, -9.66) pounds per acre.

3. P-value and Conclusion: The corresponding two-sided test yields a p-value of 0.003.

Suggesting strong evidence of a difference in means between the two seed types. We can conclude that there is a significant difference in corn yield based on seed type.

4. Dotplots: By comparing the dotplots of 'Regular_seed,' 'Kiln_dried_seed,' and the 'Differences,'

It can be observed that the sample of differences has less variation compared to the two individual samples. The range of the differences is narrower, indicating reduced variation when focusing on the paired data.

5. Summary Statistics: The standard deviations for 'Regular_seed,' 'Kiln_dried_seed,' and the 'Differences' are 18.37, 14.71, and 8.21 pounds per acre, respectively.

Notably, the standard deviation of the differences is smaller compared to the standard deviations of the individual samples.

6. 95% Confidence Interval for μd: Using the paired t-test in Minitab, the 95% confidence interval for μd is (-18.16, -7.38) pounds per acre.

7. Comparison of Confidence Intervals: The confidence interval for μd (paired design) is narrower than the confidence interval for μ1-μ2 (unpaired design) from part 2.

This indicates that considering the pairing reduces the variability and provides a more precise estimate.

8. P-value and Conclusion for μd: The two-sided hypothesis test for μd yields a p-value of 0.001.

Indicating strong evidence of a significant difference in means between the two seed types.

9. Comparison of P-values: The p-value from the paired design (μd) is smaller than the p-value from the unpaired design (μ1-μ2).

This suggests that the paired design is more sensitive and able to detect smaller differences. The advantage of using a paired design becomes evident as it reduces unwanted variation, increases precision, and enhances the ability to detect significant differences.

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Answer:

this is the answer for 4th question

and it is a collinear

Answer:

C=20

Step-by-step explanation:

This is for question 3

For perpendicular lines , the product of their gradient should give -1 for the answer and thus,

3×x=-1

x=-⅓, the gradient for the line.

Therefore c =

-2-3/c- 5 =-⅓

-1(c-5)=3(-2-3)

-c+5=-6-9

-c=-6-9-5

-c=-20

The negatives cancel each other leaving c as 20

Answer:

it is x=4÷2

Step-by-step explanation:

I just known the answer who cares about the steps

Step-by-step explanation:

What is the measure of angle B in the triangle?

Enter your answer in the box.

m∠B=

°

A triangle labeled ABC with angle A as one hundred twenty degrees, angle B as X degrees and angle C as parenthesis X plus sixteen parenthesis degrees

the answer in the photo

Answer:

D. x + 24 ≥ 49

Step-by-step explanation:

He has already sold 24 rolls, and will sell more x.

So, the total number of rolls that he will sell is:

[tex]T = 24 + x[/tex]

Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser.

This means that:

[tex]T \geq 49[/tex]

[tex]24 + x \geq 49[/tex]

The correct answer is given by option D.

Answer:

v = 9x9x0.5x5 = 202.5 ft^3

Step-by-step explanation:

x^2 - x - 6= 0

(x - 3) ( x + 2) = 0

Equating

x - 3 = 0

x = 3

x+ 2= 0

x = -2

Answer: x - 6

Step-by-step explanation:

The term that describes variables that represent the characteristics or attributes of participants and cannot be manipulated is called "non-manipulated variables" or "non-experimental variables".

These variables are typically measured or observed as they naturally exist and are not intentionally changed or controlled by the researcher. Non-manipulated variables are often used in observational studies or correlational research designs where the focus is on examining relationships or associations between variables rather than establishing cause-and-effect relationships through experimental manipulation.

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Answer:

205

Step-by-step explanation:

5^2 = 25

8.2 * 25 = 205

wth ..

Answer:

205 hope this helps

Step-by-step explanation:

5^2= 25

8.2×25= 205 hope

The set of ordered pairs that represents a function from A to B is {(1, -1), (3, 2), (4, 0), (2, 1)}. A function from A to B is a relation that assigns a unique element from B to each element in A.

In order for a set of ordered pairs to represent a function, each element in A must have exactly one corresponding element in B.

Let's analyze each set of ordered pairs:

1. {(1, -1), (3, 2), (2, -2), (4, 0), (2, 1)}: This set is not a function because the element 2 in A is assigned two different elements (-2 and 1) in B. Each element in A should have a unique corresponding element in B.

2. {(1, 2), (4, 0), (2, 1)}: This set is a function because each element in A is assigned a unique element in B.

3. {(1, 1), (2, -2), (3, 0), (4, 2)}: This set is a function because each element in A is assigned a unique element in B.

4. {(1, 0), (2, 0), (3, 0), (4, 0)}: This set is a function because each elementin A is assigned a unique element (0) in B.

Based on the analysis, the set of ordered pairs that represents a function from A to B is {(1, -1), (3, 2), (4, 0), (2, 1)}.

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Using area under normal curve and z-score, approximately 21.32% of shafts have a diameter between 19.987 mm and 20.000 mm.

To find the proportion of shafts with a diameter between 19.987 mm and 20.000 mm, we need to calculate the probability that a randomly selected shaft falls within this range.

Given that the diameters of the shafts are normally distributed with a mean of 20.003 mm and a standard deviation of 0.005 mm, we can use the properties of the normal distribution to determine the desired proportion.

To calculate this proportion, we need to find the area under the normal curve between the values of 19.987 mm and 20.000 mm.

Let's denote the random variable X as the diameter of the shafts. We want to find P(19.987 ≤ X ≤ 20.000).

To do this, we can standardize the values by converting them to z-scores using the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For 19.987 mm:

z₁ = (19.987 - 20.003) / 0.005

For 20.000 mm:

z₂ = (20.000 - 20.003) / 0.005

We can then use a standard normal distribution table or calculator to find the corresponding probabilities associated with these z-scores.

Using a standard normal distribution table, we find that P(Z ≤ z₁) ≈ 0.2119 and P(Z ≤ z₂) ≈ 0.4251.

To find the proportion of shafts between 19.987 mm and 20.000 mm, we subtract the probabilities:

P(19.987 ≤ X ≤ 20.000) = P(Z ≤ z₂) - P(Z ≤ z₁) ≈ 0.4251 - 0.2119

P(19.987 ≤ X ≤ 20.000) ≈ 0.2132

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The only solution of the initial-value problem y" + x^2y = 0, y(0) = 0, y'(0) = 0 is y(x) = 0, where y(x) represents the unknown function and x represents the independent variable.

To determine the solution of the initial-value problem, we consider the given second-order linear homogeneous differential equation y" + x^2y = 0 along with the initial conditions y(0) = 0 and y'(0) = 0.

First, we solve the differential equation by assuming a solution of the form y(x) = Ax^n, where A is a constant and n is an exponent to be determined. Substituting this into the differential equation, we obtain the characteristic equation n(n-1) + x^2 = 0.

Solving the characteristic equation, we find that the roots are n = 0, which corresponds to the solution y(x) = A, and n = 1, which corresponds to the solution y(x) = Bx. However, when we apply the initial conditions y(0) = 0 and y'(0) = 0, we find that both solutions are equal to zero.

Therefore, the only solution that satisfies both the differential equation and the initial conditions is y(x) = 0, indicating that the function y(x) is identically zero for all values of x.

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The minimum of Brown's badly scaled function, f(x) = (x₁ - 10^6)² + (x₂ − 2 × 10^-6)² + (x₁x₂ - 2)², can be found using Powell's method.

Powell's method is an optimization algorithm used to find the minimum of a function. It is an iterative method that searches for the minimum by successively approximating the direction of the minimum along each coordinate axis.

To apply Powell's method to find the minimum of Brown's badly scaled function, we start with an initial guess for the minimum point. Then, we iteratively update the guess by evaluating the function at different points and adjusting the guess based on the obtained results.

The iterative process continues until a convergence criterion is met, indicating that the minimum has been sufficiently approximated. The final guess represents the minimum point of the function.

By applying Powell's method to Brown's badly scaled function, we can determine the coordinates of the minimum point, which correspond to the values of x₁ and x₂ that minimize the function. The specific values of x₁ and x₂ will depend on the initial guess and the convergence criteria used in the optimization process.

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Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'