a dataset on 91 roller coasters lists the duration of the ride in seconds in addition to the drop height in feet for some of the coasters. one​ coaster, the​ tower of​ terror, is unusual for having a large drop but a short ride. after setting it​ aside, a regression to predict duration from drop for the remaining 90 coasters has r​29.4%. complete parts a through c.

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

Step-by-step explanation:

16 arrangement can be done

The 24 arrangements could be made if the position of the last boy remains unchanged.

Arrangement is a plans or preparations for a future event.

The steps are as follow:

x! , where,! is factorial

x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))

∴ 4*3*2*1 = 24 arrangments

Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.

Learn more about arrangment here:

https://brainly.com/question/251701

#SPJ2

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

learn more about Chi-Square here: brainly.com/question/24976455

#SPJ11

In total, there are 37 animals going towards the river. This includes 1 rabbit, 9 elephants, 27 monkeys, and 108 parrots.

According to the given information, 1 rabbit saw 9 elephants while going to the river. So, we have 1 rabbit and 9 elephants.

Each elephant saw 3 monkeys going toward the river. Since there are 9 elephants, we can multiply 9 by 3 to find the total number of monkeys. That gives us 27 monkeys.

Finally, it is mentioned that each monkey had 1 parrot in each hand. If we have 27 monkeys, we can multiply that by 2 (since each monkey has 1 parrot in each hand) to get the total number of parrots. That gives us 54 parrots.

Therefore, the total number of animals going towards the river is the sum of the rabbit, elephants, monkeys, and parrots. Adding them up, we get 1 + 9 + 27 + 54 = 91 animals.

In conclusion, there are 37 animals going towards the river. This includes 1 rabbit, 9 elephants, 27 monkeys, and 108 parrots (since each monkey has 2 parrots).

Learn more about multiply here: https://brainly.com/question/30875464

#SPJ11

The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

To know more about differential equation refer here:

https://brainly.com/question/32524608#

#SPJ11

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ5

Answer:

Step-by-step explanation:

Area of a rectangle is given by the formula :

A = L × W

Substituting 90 with A , x with W and (x+3) with L, we get :

90 = (x+3)×x

Simplifying the right side by expanding the bracket :

x(x+3) =

x²+3x
90=x²+3x

Now we can make a quadratic by subtracting both sides by 90 :

x²+3x-90 =0

I'm not sure about the rest

\(40 \times 0.80 = 32\)

\(32 \times 12 = 384\)

He gains £384

\(40 - 32 = 8\)

\(8 \div 2 = 4\)

\(2(12) + 2(6) = 36\)

He gains £36

//

\( - 130 + 384 + 36 = 290\)

Ryan made £290

//

I'm not too sure about this...

Anyway if he sold 80% of the jumpers at a normal price, he would earn £384.

There are 8 left and he managed to sell half of those but there is a promo where you can buy one at full price and get one for half the price so only two of the four can be bought at full price while the other two gets bought at half price. He earns £36 from this.

If you take in account the starting cost and add the profits, he made a total of £290 selling jumpers.

But again, I'm not too sure.

Answer:

put angel sum property on it

Step-by-step explanation:

39 + 73 + x = 180

112 + x = 180

x = 180 - 112

x = 68

put degree sign over it

Hope its help you

There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

Learn more about "pairwise comparisons" : https://brainly.com/question/13012475

#SPJ11

Answer: All of the trianges in this problem set are congruent

-10 (put it in a calculator then boom your answers right there) :)

Answer:

-61 + 51 = -11

Step-by-step explanation:

You could do this multiple ways.

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

To know more about linear regression refer here

https://brainly.com/question/13328200#

#SPJ11

Answer:

\(2x+16y\)

Add  \(12y\) and \(4y\).

\(2x+16y\)

Answer:

2x + 16y

Step-by-step explanation:

The y terms can be added together. 12y + 4y is 16y. The 2x has to just stay the way it is because it could only be added to another x term and there aren't any. So you are left with 2x + 16y

Answer:

you could fence each side with 40 feet if fence if the side with the barn does not need fencing

Answer:

13/20

Step-by-step explanation:

Answer: It end in the hundredth place, so you have to write 65/100

65/100 simplifies to 13/20.

Step-by-step explanation: hope this helps

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

Answer:

divide both sides by 2

Step-by-step explanation:

becoz first step is move the numbers

pliz give a brainliest

The point on the parabola y=x^2 that is closest to the point (9, 1/2) is (2.56, 6.55), and the distance between the two points is 5.94

The distance formula between two points (x1, y1) and (x2, y2) is given as:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let (a, a^2) be the point on the parabola that is closest to (9, 1/2). Then, the distance between the two points is:

distance = √((9 - a)^2 + (1/2 - a^2)^2)

We  take the derivative of the distance formula with respect to and equate it to zero, and solve for a:

d(distance)/da = 0

==> -2(a^3 - 9a) - a(1/2 - a^2) = 0

==> a^4 - 9a^2 + 1/2a = 0

==> a(a^3 - 9a + 1/2) = 0

The only real solution to this equation is a = 2.56.

and distance =√ ((9 - 2.56)^2 + (1/2 - 6.55)^2) = 5.94

Hence , we can write that the point on the parabola y=x^2 that is closest to the point (9, 1/2) is (2.56, 6.55), and the distance between the two points is 5.94

Learn more about parabola at:

https://brainly.com/question/29635857

#SPJ1

Answer:

The five methods are physical description, action, inner thoughts, reactions, and speech.

Step-by-step explanation

Answer:

3/8

Step-by-step explanation:

The oil required for one cup of water is 3/8 cup.

How do you calculate the quantity of oil?

Given that a recipe requires 1/4 cup of oil for every 2/3 cup of water.

The quantities of oil and water are given in fractions. We can write as,

Hence we can conclude that the oil required for one cup of water is 3/8 cup.

Answer:

0,-1 , -2 ,-3 ,-4 ,-5

Step-by-step explanation:

i think this is the answer but i can't confirm because your theory and my theory can be different

let me know if this was helpful

A situation that involves testing a claim about a single population proportion occurs when you want to determine if a specific characteristic or attribute is present in a certain percentage of the population.

This statistical hypothesis testing typically involves the null hypothesis (H0) stating that the population proportion (p) equals a certain value (p0), and the alternative hypothesis (H1) suggesting a different value.
For example, you might test the claim that 60% of voters support a certain political candidate (p0 = 0.6). By collecting data from a random sample of voters, you can calculate the sample proportion and perform a hypothesis test to determine if the evidence supports or contradicts the claim.

To learn more about hypothesis  visit;

https://brainly.com/question/29519577

#SPJ11

Therefore, the value of the expenditure multiplier is approximately 9.2.

The expenditure multiplier can be calculated as the ratio of the change in real GDP to the initial change in government spending.

Expenditure multiplier = Change in Real GDP / Initial Change in Government Spending

Given:

Change in Real GDP = $1,150

Initial Change in Government Spending = $125

Expenditure multiplier = $1,150 / $125

Expenditure multiplier ≈ 9.2

To know more about expenditure multiplier,

https://brainly.com/question/31865062

#SPJ11

Answer:

2s-10

Step-by-step explanation:

Answer: S - 10

Step-by-step explanation:

The question states the 3rd side is 10cm less than the 2nd side. The keyword is less, less means subtract. Knowing we have to subtract we can eliminate the 3rd and 4th answer. Since the 2nd is equal to “s”, and the third side is 10cm less than the 2nd, the 3rd side must be equal to:

“s - 10”.

A test's standard deviation is 5 and its mean is 85. scores is within one standard deviation of the mean is 25/n^12.

The square root of the variance of a random variable, sample, mean ,statistical population, data set, or probability distribution is that variable's standard deviation. Although less robust in practice, it is algebraically simpler than the average absolute deviation.The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, is a useful characteristic of the statistic.

variance = 5^2 = 25

standard deviation of the mean = ( variance / n )^1/2

= (25/n)^1/2

Learn more about mean here

https://brainly.com/question/15323584

#SPJ4

Considering the given scale, it is found that:

1. The distance between the two cities is of 325 km.

2. 43.3 cm should be used to represent the distance.

3. The scale of the map is of 1:9000000.

A scale is how much each unit in the drawing represents in actual distance.

For item 1, the scale of 1:5000000 means that each unit on the graph represents 5,000,000 units of actual distance.

The distance on the map is of 6.5 cm, hence the actual distance is of:

6.5 x 5000000 = 32,500,000 cm = 325 km.

For item 2, the scale is of 1:1500000, meaning that each cm of drawing is equivalent to 1,500,000 cm of real distance = 15 km.

Hence, the number of centimeters to represent a distance of 650 km is given by:

650/15 = 43.3 cm.

For item 3, we have that 7 cm represent 630 km = 63,000,000 cm, hence:

63,000,000/7 = 9000000.

Meaning that the scale is given by:

1:9000000.

More can be learned about scales at https://brainly.com/question/13036238

#SPJ1

The sum of the perimeters of the squares with areas 252 cm², 175 cm², and 112 cm² is __ cm (in radical form).
We get the sum of perimeter in radical form is 158.72 cm.

To find the perimeters of the squares, we need to determine the length of their sides. Since the area of a square is equal to the square of its side length, we can find the side lengths of the squares by taking the square root of their respective areas.

For the square with an area of 252 cm², the side length is √252 cm. Similarly, the side lengths of the squares with areas 175 cm² and 112 cm² are √175 cm and √112 cm, respectively.

The perimeter of a square is four times its side length, so the perimeters of the squares are 4√252 cm, 4√175 cm, and 4√112 cm.

we multiply the side length by 4 for each square and add them up: (4 * 15.87) + (4 * 13.23) + (4 * 10.58) = 63.48 + 52.92 + 42.32 = 158.72 cm.



Learn more about Perimeter click here :brainly.com/question/345835

#SPJ11