Consider the following data set:

0, 10, 12, 3, 13, 7, 2, 5

Find the upper quartile.

The answer is that regression analysis is the most appropriate method.

The most appropriate statistical method to justify building a new elementary school in the district would be regression analysis. This method can be used to examine the relationship between the expected number of students and the capacity of the schools in the district.



Regression analysis is a statistical method that helps to determine the relationship between two or more variables. In this case, the expected number of students would be the independent variable, while the capacity of the schools in the district would be the dependent variable. By analyzing the relationship between these variables, the school district can make predictions about how many students will need to be accommodated in the future and whether a new elementary school is necessary.

In contrast, binomial distribution is a statistical method that is used to calculate the probability of a specific number of successes in a set of trials, which would not be suitable for this situation. Confidence intervals and hypothesis tests are statistical methods used to draw conclusions about populations based on sample data, but may not be the most appropriate method for this situation.

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Answer:

2

Step-by-step explanation:

Rise is 10 run is 5 Rate of Change is rise over run.

Answer:

No its not

4km =4000m < 5000m

Step-by-step explanation:

hope it helps

Answer:

5000 meter>4km

Step-by-step explanation:

4km is= 4000meter so 5000 meters i greater than 4km

The 90% confidence interval for the mean amount of syrup mixed with each drink is (1.10, 1.20) fluid ounces.

The 90% confidence interval for the mean amount of syrup mixed with each drink is calculated using the sample mean, sample standard deviation and the t-distribution. The lower bound of the confidence interval is calculated by subtracting the t-statistic multiplied by the standard error of the mean from the sample mean. The upper bound is calculated by adding the t-statistic multiplied by the standard error of the mean to the sample mean. The t-statistic is determined using the degrees of freedom, which is equal to the sample size minus 1. In this case, the confidence interval is (1.10, 1.20) fluid ounces. This means that we are 90% confident that the true mean amount of syrup mixed with each drink is between 1.10 and 1.20 fluid ounces.

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Answer:

12 cups of sugar

Step-by-step explanation:

12 cups of sugar for 6 dozen cookies.

Answer: €25.50

Step-by-step explanation:

 €69.50

- €44.00   €22 from each brother (€22+€22)

€25.50

The sister will have to give €25.50.

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False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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0.8 is the quotient when 2.4 is divided by 3.

In the end, the quotient is what we obtain when we divide a number. A mathematical procedure called division involves separating objects into equal groups. The letter (÷) is used to symbolize it.

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction and this can be obtained by reversing its numerator and denominator—is and then dividing the  fractions. Multiply the two numerators after that. Multiply the two denominators after that, After that we need to simplify the fraction to its lowest form.

Mathematically quotient is defined by:

 = 2.4 ÷ 3

=> 2.4/ 3

=>0.8

so 0.8 is the quotient when 2.4 is divided by 3

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If angle B is 90, then using Pythagoras' theorem AC² = AB² + BC²(option B)

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. Pythagoras' theorem, states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

In Triangle ABC , if B is 90, it shows that the triangle is a right-angled triangle, therefore Pythagoras' theorem can be applied. line AC is the longest side ( hypotenuse) and line AB and BC are the two adjacent sides thereforeAC² = AB² + BC²

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Answer:

Step-by-step explanation:

1) Let quarters be x and nickels be y.

Equations based on given, 48 coins, total of $6 = 600c:

Substitute y in the second equation, y = 48 - x

Then value of y is:

2) Similarly to problem 1.

Substitution: y= 20 - x

Then finding y:

When the shape being rotated has a hole or an empty region, we use slicing of washers to find the volume. If the shape is solid and without any holes, we use slicing of disks.

The volume of a cylindrical disk =

The term "cylindrical disk" is not commonly used in mathematics. Instead, we usually refer to a disk as a two-dimensional shape, while a cylinder refers to a three-dimensional shape.

Volume of a Cylinder:

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

To find the volume of a cylinder, we use the formula:

V = πr²h,

where V represents the volume, r is the radius of the circular base, and h is the height of the cylinder.

Volume of a Disk:

A disk, on the other hand, is a two-dimensional shape that represents a perfect circle.

Since a disk does not have height or thickness, it does not have a volume. Instead, we can find the area of a disk using the formula:

A = πr²,

where A represents the area and r is the radius of the disk.

The volume of a solid of revolution =

When finding the volume of a solid of revolution, we typically rotate a two-dimensional shape around an axis, creating a three-dimensional object. Slicing is a method used to calculate the volume of such solids.

To find the volume of a solid of revolution using slicing, we divide the shape into thin slices or disks perpendicular to the axis of revolution. These disks can be visualized as infinitely thin cylinders.

By summing the volumes of these disks, we approximate the total volume of the solid.

The volume of each individual disk can be calculated using the formula mentioned earlier: V = πr²h.

Here, the radius (r) of each disk is determined by the distance of the slice from the axis of revolution, and the height (h) is the thickness of the slice.

By summing the volumes of all the thin disks or slices, we can obtain an approximation of the total volume of the solid of revolution.

As we make the slices thinner and increase their number, the approximation becomes more accurate.

Now, let's address the question of why we might need to use the slicing of washers versus disks.

When calculating the volume of a solid of revolution, we use either disks or washers depending on the shape being rotated. If the shape has a hole or empty region within it, we use washers instead of disks.

Washers are obtained by slicing a shape with a hole, such as a washer or a donut, into thin slices that are perpendicular to the axis of revolution. Each slice resembles a cylindrical ring or annulus. The volume of a washer can be calculated using the formula:

V = π(R² - r²)h,

where R and r represent the outer and inner radii of the washer, respectively, and h is the thickness of the slice.

By summing the volumes of these washers, we can calculate the total volume of the solid of revolution.

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Item b.)

To solve that item we must remember the general formula for exponential decay, it's

Then, let's modify it to fit our parameters

A is the initial value, in our case, the initial value is the dosage, 500mg, then A = 500

r is the rate, we have 5.2%, then the value of r will be 0.052

And f(t) will transform into D, changing the name.

Hence

We can also simplify the subtraction, we get

Item c.)

To solve that we will use our equation, we will input t = 6 hours and find the value of D.

The answer is 363 mg

Answer:

The new price of sneakers is the sum of the increase in the purchase price and the initial price. Hence, the new price is $138

The initial price of sneakers = $120

Percentage increase in price of sneakers = 15%

The new price of the sneakers can be calculated thus :

Initial price + price increase

Price increase = 15% × initial price

Price increase = 0.15 × $120 = $18

The new price of sneakers = $120 + $18 = $138

Therefore, the new price of sneakers is $138.

The rate of petrol in this case is R9 per liter.

What is rate?

In mathematics, rate is a measure of how one quantity changes in relation to another quantity. It is often expressed as a ratio or fraction, where the numerator represents the amount of change in the first quantity and the denominator represents the amount of change in the second quantity.

The rate of petrol can be expressed as the cost per liter. To find the cost per liter of petrol in this case, we can divide the total cost by the total amount of petrol:

Cost per liter = Total cost / Total amount

For the given scenario, we have 20 litres of petrol for R180. So the rate can be calculated as:

Rate = Total cost / Total amount = R180 / 20 litres

Simplifying the expression, we get:

Rate = R9 per litre

Therefore, the rate of petrol in this case is R9 per liter.

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Answer:

$34.65

Step-by-step explanation:

Answer:

135=

3=5−10

Step-by-step explanation:

im not good at this but my mom said to try so i its not right

After the raise, the salary of woman becomes $2700.

The answer was determined through simple arithmetic calculations.

This method of calculation can be applied to any similar scenario where an initial salary is reduced by a certain percentage and then increased by another percentage. The formula used can be generalized as:

Final Salary = (Initial Salary - Initial Salary * Reduction Percentage) * (1 + Raise Percentage)

It's a simple and straightforward method that can be easily applied to find the final salary in similar cases.

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Answer: Yeah and ?

Step-by-step explanation:

Answer:

(15,-5)

Step-by-step explanation:

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

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something you should keep in mind is that all three angles in a triangle always add up to 180 degrees.

so, here, since you know the two other angles, you can find the third.

180 - 106 - 42 will give you the measure of that third angle.

your answer will be 32.

hope i helped, good luck!

Answer:

32

Step-by-step explanation:

as you triangle angle add up to 180 so you add 106 by 42 which gives you 148 then

you take 180 -148 which it will give you =32

Answer:

Angel Fall is 3091 ft taller.

Step-by-step explanation:

Height of Angel fall = 3281 ft

Height of Niagara falls in the United States = 190 ft

Angel fall is taller than Niagara Fall by

==> 3281 - 190 = 3091 ft

(a)  the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

(a) To change from rectangular to cylindrical coordinates, we use the formulas:

r = sqrt(x^2 + y^2)
θ = atan2(y, x)
z = z

Using these formulas with the point (-1, 1, 1), we get:

r = sqrt((-1)^2 + 1^2) = sqrt(2)
θ = atan2(1, -1) = 3π/4 (since the point is in the second quadrant)
z = 1

So the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) Using the same formulas with the point (-6, 6sqrt(3), 4), we get:

r = sqrt((-6)^2 + (6sqrt(3))^2) = 12
θ = atan2(6sqrt(3), -6) = 5π/6 (since the point is in the third quadrant)
z = 4

So the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

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Answer:

13

Step-by-step explanation:

I counted the X's of 1-3 and got 13 in total.

(Let me know if that was correct) :)

Answer:

13 students

Step-by-step explanation:

To solve this you count the x's above 1, 2, and three.

I hope this helps!!

The cash received by Shamar from bank deposit ticket is (c) $908.11

When making a deposit into a bank account, a bank customer typically includes a little paper document called a deposit slip.

A deposit slip includes the date, the depositor's name, their account number, the sums being deposited, and a breakdown of the type of deposit (cash, checks, or a particular amount of cash the depositor wants back from a check deposit).

The deposit slip is evidence that the bank confirmed receiving the customer's funds.

In this problem, the total amount deposit through check or other mode is $1108.11 and $ 200 deducted by bank as processing fee.

So the final amount or cash Shamar received is

= $1108.11 - $ 200.00

= $ 908.11

The cash received by Shamar from bank deposit ticket is (c) $908.11

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Answer:

6x10^5 is bigger

Step-by-step explanation:

6x10^5 = 6 X 100,000 = 600,000

20x10^4 = 20 X 10,000 = 2 X 10 X 10,000 = 2 X 100,000 = 200,000

600,000 - 200,000 = 400, 000

Answer:

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

Step-by-step explanation:

Given

\(y=c_1e^x +c_2e^{-x\)

\(y(1) = 0\)

\(y'(1) =e\)

Required

The solution

Differentiate \(y=c_1e^x +c_2e^{-x\)

\(y' = c_1e^x - c_2e^{-x}\)

Next, we solve for c1 and c2

\(y(1) = 0\) implies that; x = 1 and y = 0

So, we have:

\(y=c_1e^x +c_2e^{-x\)

\(0 = c_1 * e^1 + c_2 * e^{-1}\)

\(0 = c_1 e + \frac{1}{e}c_2\) --- (1)

\(y'(1) =e\) implies that: x = 1 and y' = e

So, we have:

\(y' = c_1e^x - c_2e^{-x}\)

\(e = c_1 * e^1 - c_2 * e^{-1}\)

\(e = c_1 e - \frac{1}{e}c_2\) --- (2)

Add (1) and (2)

\(0 + e = c_1e + c_1e + \frac{1}{e}c_2 - \frac{1}{e}c_2\)

\(e = 2c_1e\)

Divide both sided by e

\(1 = 2c_1\)

Divide both sides by 2

\(c_1 = \frac{1}{2}\)

Substitute \(c_1 = \frac{1}{2}\) in \(0 = c_1 e + \frac{1}{e}c_2\)

\(0 = \frac{1}{2} e+ \frac{1}{e}c_2\)

Rewrite as:

\(\frac{1}{e}c_2 = -\frac{1}{2} e\)

Multiply both sides by e

\(c_2 = -\frac{1}{2} e^2\)

So, we have:

\(y=c_1e^x +c_2e^{-x\)

\(y = \frac{1}{2}e^x -\frac{1}{2} e^2 * e^{-x}\)

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