Movie data: We collected data from IMDb.com on 70 movies listed in the top 100 US box office sales of all time. These are the variable descriptions:

Metascore: Score out of 100, based on major critic reviews as provided by Metacritic.com

Total US box office sales: Total box office sales in millions of dollars

Rotten Tomatoes: Score out of 100, based on authors from writing guilds or film critic associations

We used Metascore ratings as an explanatory variable and Rotten Tomato ratings as the response variable in a linear regression. The se value is 11. With US box office sales as the explanatory variable and Rotten Tomato ratings as the response variable in a linear regression, the se value is 22. Using the se value, which is a better predictor of a movie’s Rotten Tomatoes score: Metascore or total US box office sales?

a. Total US box office sales
b. Metascore

Answer:

1 ÷ 6

Step-by-step explanation:

Let us assume the probability of the red marble for selecting it first time be x

And, it is to be done 3 times

that means

= 1 ÷ x × 1 ÷ x × 1 ÷ x

This equivalent to = 1 ÷ 216

And the 216 could be calculated by multiplied 6 3 times i.e.

= 6 × 6 × 6

= 216

So, the probability for selecting it for a first time is

= 1 ÷ 6

Answer:

4(10)^2 or 4(100)

hope this helps

Step-by-step explanation:

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

To know more about Matrix here.

https://brainly.com/question/28180105

#SPJ4

The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

For more such questions on centroid

https://brainly.com/question/7644338

#SPJ11

5 x 3 = 15

Your answer: 15

Answer: 15 out of the 18 blocks are shaded

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

A graph that represents the following ellipse (x + 1)²/16 + (y - 3)²/36 = 1 is: C. graph C.

Mathematically, the standard form of the equation of an ellipse is given by mathematical expression:

x²/a² + y²/b² = 1  

Where;

This ultimately implies that, the major axis of this ellipse is the x-axis. By critically observing the graph (see attachment), we can logically deduce the following values:

a = √16 = 4.

b = √36 = 6.

In conclusion, the standard form of the equation of this ellipse is given by (x + 1)²/16 + (y - 3)²/36 = 1.

Read more on ellipse here: https://brainly.com/question/14468579

#SPJ1

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

According to the solving the standard error of the given statement :

= 1.7172%.

The standard error of the mean, or just standard error, indicates how much the population means as well as the sample mean will likely differ from one another. It would be conceivable to figure out how much the sample mean would alter if a study were to be redone using new samples taken from a single population.

The standard error is calculated by taking the standard deviation and subtracting the square root of the sample size. It offers the accuracy of a sample mean by accounting for the variation of the sample means between samples.

For 99% confidence,

z = 2.5758

Standard error,

SE = sigma/sqrt

n = 10/sqrt 225

= 10/15

= 2/3

Maximum error of the estimated mean = z * SE

= 2.5758 * (2/3)

= 1.7172

According to the solving the Standard error of the given statement :

= 1.7172%.

To know more about standard error visit:

https://brainly.com/question/13179711

#SPJ4

The Math Club at Foothill College plans to sell apple pies as a fundraiser. The cost function to make x servings of apple pie is given by C(x) = 300 + 0.1x + 0.003x².

We are asked to determine the revenue function, profit function, and marginal profit function, and calculate the marginal profit when 150 pieces of pie are sold.

(A) The revenue function, R(x), can be calculated by multiplying the number of servings sold, x, by the price per serving, which is $4.00. Therefore, R(x) = 4x.

(B) The profit function, P(x), is the difference between the revenue and cost functions. Therefore, P(x) = R(x) - C(x). Substituting the given revenue and cost functions, we have P(x) = 4x - (300 + 0.1x + 0.003x²). Simplifying this expression, we get P(x) = -0.003x² + 3.9x - 300.

(C) The marginal profit function represents the rate of change of profit with respect to the number of servings sold. Taking the derivative of the profit function with respect to x, we get P'(x) = -0.006x + 3.9.

(D) To find the marginal profit when 150 pieces of pie are sold, we substitute x = 150 into the marginal profit function. P'(150) = -0.006(150) + 3.9 = 2.4. Therefore, the marginal profit is 2.4 dollars per serving.

(E) The interpretation of the marginal profit of 2.4 dollars per serving when 150 pieces of pie are sold is that for each additional serving sold beyond 150, the profit will increase by 2.4 dollars. This implies that selling more servings will result in a higher profit margin for the Math Club.

Learn more about cost function here:

https://brainly.com/question/29583181

#SPJ11

Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

If you can, please give me a Brainliest, I need 2 more to get to the highest rank,  thank you!

Answer:

I think it is B

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

you would get 6/8 but need to simplfiy to 3/4 since they both can divide by 2

Answer:

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

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (4, 4) ← 2 points on the line

m = \(\frac{4-(-2)}{4-(-4)}\) = \(\frac{4+2}{4+4}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)

Answer:

2x-3y<7

Step-by-step explanation:

Hope it helps (:

Answer:

x=6

Step-by-step explanation:

10-4=6

Answer:

2 x 3/5,  1 2/5 x 3/5,  6/6 x 3/5,  1/4 x 3/5

Hope this helps!

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

Learn more about deviation here:

https://brainly.com/question/31835352

#SPJ11

Answer:

y = 1/5x + 3

Step-by-step explanation:

start by finding the opposite-sign reciprocal of the slope, which is 1/5 in this case. then, find the y-intercept, which is 3 in this case because of the point it gave us.

The probability of ml1 is 0.890, or 89.0% the specificity or probability of ml2 is 0.993, or 99.3% to three significant digits

To find the sensitivity of ml1, we need to look at the true positive rate, which is the probability of the machine learner predicting an intrusion given that an intrusion actually occurred. This can be found from the table as:

sensitivity = P(ml1 predicts intrusion | intrusion) = 0.0129/(0.0129 + 0.0016) = 0.890

Therefore, the probability of ml1 is 0.890, or 89.0% (to three significant digits).

To find the probability of ml2, we need to look at the true negative rate, which is the probability of the machine learner predicting a valid user given that a valid user is actually using the system. This can be found from the table as:

specificity = P(ml2 predicts valid user | valid user) = 0.985/(0.985 + 0.007) = 0.993

Therefore, the specificity of ml2 is 0.993, or 99.3% (to three significant digits).

Learn more about Probability at:

https://brainly.com/question/14210034

#SPJ4

Answer:

See below

Step-by-step explanation:

There are two feasible ways to place the turtle eggs.

Answer:

a. 3/10

b. 7/10

Step-by-step explanation:

a. Total number of marbles = 10

Number of red marbles = 3

Probability = Number of outcomes/ Total number of outcomes

= 3/10

b. Total number of marbles = 10

Number of red marbles = 3

Number of marbles excluding the red marbles

= 10 - 3 = 7

Probability = Number of outcomes/ Total number of outcomes

= 7/10

Answer:

It is measuring the Buoyant Force.

Step-by-step explanation:

A spring scale shows the water-filled bottle to weigh approximately 6N in air, and nearly 0N (Zero N) when it is fully submerged in a large container of water. Since gravity is still acting on the bottle when it is submerged in the water, there must be a force of 6N pushing up on it. This is the buoyant force.

Answer:

\(9\)

Step-by-step explanation:

Recall the exponent property \(\frac{a^b}{a^c}=(a)^{b-c}\).

Therefore, simplify:

\(\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}\)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(9\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

??????

Step-by-step explanation:

Answer:

nice i like crackers but 30 crackers is a bit much an average serving size should be 7.

Step-by-step explanation:

Answer:

SEE BELOW

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is \( \boxed {105}\degree \)

2. The measure of arc ABC is \( \boxed {205}\degree \)

3. The measure of arc ADB is \( \boxed {190}\degree \)

4. The measure of arc BD is \( \boxed {85}\degree \)

Answer:

A. $1,504.17

Step-by-step explanation:

Total cost of producing 621 shares

= 621 × 30.60

= 19002.6

Also, cost of selling 621 shares at $48 each is

= 621 × 36.23

= 22498.83

Also, the charges paid as brokerage during purchase and selling of shares

= [19002/1000 + 22498.83/1000] × 48

= [19.0026 + 22.49883] × 48

= 1992.06864

Therefore,

Net profit = 22498.83 - 19002.6 - 1992.06864

Net profit = $1,504.17

Answer:

A

Step-by-step explanation:

Answer:

y = 1/3 x

Step-by-step explanation:

y = kx

13 = k 39

k = 13/39

k = 1/3

y = 1/3 x

The kinetic energy will the ball acquire from the bat is 2× 10² J

According to the question

Bat stays in contact for 5.0 X 10⁻³ and the ball travels at a speed of 2.0 X 10⁴.

An object's kinetic energy is the power it has as a result of motion. It is explained as the amount of effort required to move a mass-based body from rest to the indicated velocity.

The body keeps its kinetic energy, which it acquired during acceleration, unless its speed changes.

A mass m object moving at a speed v has kinetic energy 1/2 mv² according to classical mechanics.

Favg= -1/2 MV²

K= -1 2 ( 5.0 x 10⁻³)²

K = - 1/2 ×25 × 10⁻⁶

K = 2× 10² J

To know more about kinetic energy here

https://brainly.com/question/999862

#SPJ4