The intercept of the linear regression model rounded to three decimal places is -29.678.
First, open the RData file in RStudio. Then, load the 1000movies data frame into the environment. Now, we can build the multiple linear regression model. We can do this using the lm() function in R. The lm() function takes a formula as the first argument.
The formula for our model will look like this:
revenue-m ~ budget-m + genre2 + budget-m:genre2.
This formula specifies that we want to use budget-m, genre2, and the interaction between budget-m and genre2 as predictor variables to predict revenue-m.
Next, we can fit the model using the lm() function. We can use the summary() function to view the results of the model. The intercept of the linear regression model is the value of revenue-m when budget-m and genre2 are both equal to 0.
In our model, the intercept is -29.678. Rounded to three decimal places, the intercept is -29.678.
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What, in degrees, is the measure of the largest angle in $\triangle PQR?$
Answer:
108 degrees
Step-by-step explanation:
3x+x+6x=10x, 180/10=18 and 18x6 is 108
Write an equation to match this graph.
Answer:
y - 5 = 5(x - 1)
Step-by-step explanation:
Two points on the graph are (1, 5) and (7, 35). Going from the first to the second, we see x (the 'run') increasing by 6 and y (the 'rise') increasing by 30. Hence the slope of this line is m = rise / run = 30/6, or 5.
Using the point-slope equation, we get
y - 5 = 5(x - 1)
Simplify the expression.
3x + 4(7x+2)
I don't know............. Lol
Answer: 31x + 8
Step-by-step explanation:
The shortest distance from a line to the center of a circle of a radius 4 units is 12 units. The circle is reflected across the line. What is the radius of the resulting image?
Answer: The radius will still be 4 units.
Step-by-step explanation:
Since it is a rigid transformation, nothing of the shape will change excepts it location meaning that the radius of the shape will still stay the same.
The radius is 4 and after a reflection , the radius will still be 4.
How many solutions does the quadratic system shown below have ?
What are four consecutive even integers if the first integer is −4?
Responses
−4, −3, −2, −1
negative 4 , negative 3 , negative 2 , negative 1,
−4, −5, −6, −7
negative 4 , negative 5 , negative 6 , negative 7,
−4, −2, 0, 2
negative 4 , negative 2 , 0, 2,
−4, −6, −8, −10
Negative 4 , negative 6 , negative 8 , negative 10.
What is integer?An integer is a whole number that can be either positive, negative, or zero. It is not a fraction, decimal, or a percentage. Integers are the basic building blocks of mathematics and are used to represent whole numbers in equations. They are also used in computer programming languages to represent whole numbers.
negative 4 , negative 3 , negative 2 , negative 1,
−4, −5, −6, −7
negative 4 , negative 5 , negative 6 , negative 7,
−4, −2, 0, 2
negative 4 , negative 2 , 0, 2,
−4, −6, −8, −10
negative 4 , negative 6 , negative 8 , negative 10.
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a pentagon with 5 sides of equal length and 5 interior angles of equal measure is inscribed in a circle. is the perimeter of the pentagon greater than 26 centimeters?
the perimeter of the pentagon greater than 26 centimeters is given by
23.51
Given that a pentagon with 5 sides of equal length and 5 interior angles of equal measure is inscribed in a circle
The circle has area of 16 pi sq cm.
Hence radius of circle = 4 cm
The pengagon each side would be a chord of equal length subtending angle 72 at the centre.
visualize the triangle made by one side of pentagon with centre. This is isosceles with angles 72, 54 and 54
Use sine angle for this triangle.
, where R = radius =4 and s = side of pentagon.
s= 4.702
Perimeter = 5s = 23.5114 cm
Perimeter not greater than 26 cm.
If origin is at the centre then two vertices would be (4,0) (4cos 72, 4sin72),(4cos 144, 4 sin 144) and so on.
Longest diagonal = distance between (4,0) and (4cos 144, 4 sin 144)
= (-3.236, 2.351) and (4,0)
=7.608
Yes greater than 8 cm
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(federal income taxes and piecewise functions mc) determine f(−2) for a piecewise function f of x in three pieces. the function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4. −1 −6 8 9
Answer:
9
Step-by-step explanation:
Kelly drank of the water in her bottle. She drank 3 cups of water. How many total
cups of water were in her bottle?
What is the value of the following expression if x = 3 and y = 7.
y[x2−2(1+2)]÷y+52
Answer:
1+2=3
2*3=6
3*2=6
6-6=0
7*0=0
0/7=0
0+52=52
Answer: I believe it's 55.
Step-by-step explanation:
I replaced the letters with the numbers in the key, so it looked like this "7[3^(2)-2(1+2)]-:7+52" I really hope this helps but I'm not amazing. Goo luck! ^^
PLEASE HELP!!
What value of x makes this equation true?
5-2(x + 8) = 6x + 7
Answer:
Step-by-step explanation:
5-2x+16=6x+7
-2x-6x=7-5-16
-8x=-28
x=28/8=14/4=7/2=3.5
will be nice if you give me brainlies.Good luck!
I WILL MARK BRAINLIEST, work out the value of.. 1+2/3+4/5+6
Answer:
Step-by-step explanation:
\(\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\\)
Answer
\(59/37\)
Explanation
\(1+\frac{2}{3+\frac{4}{5+6} }\)
\(1+\frac{2}{3+\frac{4}{11} }\)
\(1+\frac{2}{\frac{3}{1} +\frac{4}{11} }\)
\(1+\frac{2}{\frac{33}{11} +\frac{4}{11} }\)
\(1+\frac{2}{\frac{37}{11} } }\)
\(1+2 \times \frac {11}{37}\)
\(1+\frac{22}{37}\)
\(1\frac{22}{37}\)
\(\approx 1.594594594594594594594594594594595\)
URGENTTT...A survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose. This table shows the results:
The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.
The probability of a person that is a student:
P(student) = (75+15)/110 = 0.83
The probability:
P(student|pirate) = 75/80 = 0.93
The probability of both events is different.
Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.
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help me asap pls
find the volume of the cone
The volume of the cone is 628 units³
With a flat base and a smooth curving tip or vertex, a cone is a three-dimensional geometric object. To find the volume of a cone, we apply the formula \(1/3\pi r^2h\).
Given that,
Height (h) = 6 units
Radius (r) = 10 units
The volume of the cone = \(1/3\pi r^2h\)
= 1/3 × \(\pi\) × 10²× 6
= 1/3 × \(\pi\) × 100 × 6
= 200 \(\pi\)
= 200 × 3.14
= 628 units³
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Answer: Your answer will be 628.
identify the corresponding please help
14 +3n = 8n - 3(n - 4)
Answer:
n=1
Step-by-step explanation:
Start by distributing the -3 to (n-4)
14+3n=8n-3n+12
Then combine like terms on the right
14+3n=5n+12
Subtract 12 from both sides
2+3n=5n
Subtract 3n from both sides
2=2n
Divide both sides by 2
1=n
7. Anna bought 7/10 of a pound of American cheese and 7/8 of a pound of roast beef. How much
more roast beef did she buy than American cheese?
I forgot how to do it so if you guys can help!?
Anna bought 7/10 of a pound of American cheese and 7/8 of a pound of roast beef. Therefore, Anna bought 7/40 pound more roast beef than American cheese.
To find out how much more roast beef Anna bought than American cheese, we need to subtract the weight of American cheese from the weight of roast beef.
Weight of American cheese = 7/10 pound
Weight of roast beef = 7/8 pound
To perform the subtraction, we need to have a common denominator. In this case, the common denominator is 40.
Weight of American cheese = (7/10) * 40/40
= 28/40 pound
Weight of roast beef = (7/8) * 5/5
= 35/40 pound
Now we can subtract the weight of American cheese from the weight of roast beef.
Roast beef - American cheese = (35/40) - (28/40)
= 7/40 pound
Therefore, Anna bought 7/40 pound more roast beef than American cheese.
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Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
For a project in statistics class, a pair of students decided to invest in two companies, one
that produces software and one that does biotechnology research. Joseph purchased 90
shares in the software company and 96 shares in the biotech firm, which cost a total of
$6,336. At the same time, Brendan invested a total of $6,416 in 95 shares in the software
company and 96 shares in the biotech firm. How much did each share cost?
Each share in the software company cost $
and each share in the biotech firm cost
$
Each share in the software company costs $13.12 and each share in the biotech firm costs $52.
System of equations to solve for stock prices.System of Equations:
Let x be the cost per share of the software company, and y be the cost per share of the biotech firm.
For Joseph:
90x + 96y = 6,336
For Brendan:
95x + 96y = 6,416
Solving using elimination method:
Multiply the first equation by 95, and the second equation by -90:
8550x + 9120y = 602,400
-8550x - 8640y = -577,440
Add the equations:
480y = 24,960
y = 52
Substitute y = 52 in one of the original equations, say the second one:
95x + 96(52) = 6,416
95x = 1,248
x = 13.12
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Each share in the software company cost $16 and each share in the biotech firm cost $52.
Let x be the cost of one share in the software company and y be the cost of one share in the biotech firm.
From the first statement, we can write:
90x + 96y = 6336
From the second statement, we can write:
95x + 96y = 6416
To solve for x and y, we can use any method of linear equation solving. For example, we can use substitution:
From the first equation, we can solve for y:
y = (6336 - 90x)/96
Substitute this expression for y into the second equation:
95x + 96((6336 - 90x)/96) = 6416
Simplify and solve for x:
95x + 6336 - 90x = 6416
5x = 80
x = 16
Substitute this value for x into the first equation and solve for y:
90(16) + 96y = 6336
96y = 4986
y = 52
Therefore, each share in the software company cost $16 and each share in the biotech firm cost $52.
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At the end of the year a math teacher decides to survey his students to determine what they liked best about his class he uses his first period class as his sample is the sample is biased or unbiased
Answer:
Biased
Step-by-step explanation:
He only asked the opinion of his first period, not any of his other class periods
factorise fully for X²+15X-54
Step-by-step explanation:
x^2+15x-54
x^2+18x-3x-54
Common factors
x(x+18)-3(x+18)
(x-3)(x+18)
China and Germany specialize in the production of silk and automobiles respectively. They are considered the best at their specializations. Assume that China chooses not to trade silk with Germany in exchange for automobiles. Which perspective is China using in regards to not trading to another country which provides a specialization they do not have? O absolute advantage O comparative advantage O new trade theory O porter's model
both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
Explain about comparative advantage.China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.
According to question;In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.
Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
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Halp.
What is the ratio of the sides from the big to the small rectangle?
Answer:
2:1
Step-by-step explanation:
We know
To get from F to G, we have to go from -2 to 2, for which the length is 4.
To get from F' to G', we have to go from -2 to 0, for which the length is 2.
What is the ratio of the sides from the big to the small rectangle?
The ratio is 4:2 = 2:1
1 point
What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4
Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis.
Answer: dang that's tough but like look it up
Step-by-step explanation: give brainlyiest
Write an equation in slope-intercept form for a line parallel to y=-3 / 4x+3 containing (-3,6) .
The equation in slope-intercept form for a line parallel to y = (-3/4)x + 3 and containing the point (-3, 6) is y = (-3/4)x + (15/4).
To find the equation of a line parallel to y = (-3/4)x + 3 and passing through the point (-3, 6), we can use the fact that parallel lines have the same slope. The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
In the given equation, y = (-3/4)x + 3, the slope is -3/4. Since we want to find a line parallel to this, the new line will also have a slope of -3/4.
Using the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) represents a point on the line and m is the slope, we can substitute the values into the equation:
y - 6 = (-3/4)(x - (-3))
Simplifying further:
y - 6 = (-3/4)(x + 3)
Expanding the right side:
y - 6 = (-3/4)x - (9/4)
To isolate y, we can add 6 to both sides:
y = (-3/4)x - (9/4) + 6
Combining like terms:
y = (-3/4)x + (15/4)
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Consider a fractal line with fractal dimension D. The mean-square distance between monomers u and v along this line is ⟨(R(u)−R(v))2⟩=b2(v−u)2/D. Calculate the mean-square end-to-end distance R2 and radius of gyration Rg2 for this fractal line. Determine the ratio R2/Rg2 symbolically and then calculate this ratio for fractal dimensions D=1,1.7 and 2 .
The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).
Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The radius of gyration Rg is defined as follows.
Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.
R(mean) is the mean position vector of all monomers.
Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).
Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).
The ratio R²/Rg² is given by R²/Rg² = L^(D-2).
When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.
This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.
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Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of three students are possible? 7 C 3 = StartFraction 7 factorial Over (7 minus 3) factorial 3 factorial 7 35 70 210
Answer:
The number of different combinations of three students that are possible is 35.
Step-by-step explanation:
Given that three out of seven students in the cafeteria line are chosen to answer a survey question.
The number of different combinations of three students that are possible is given as:
7C3 (read as 7 Combination 3)
xCy (x Combination y) is defines as
x!/(x-y)!y!
Where x! is read as x - factorial or factorial-x, and is defined as
x(x-1)(x-2)(x-3)...2×1.
Now,
7C3 = 7!/(7 - 3)!3!
= 7!/4!3!
= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)
= (7×6×5)/(3×2×1)
= 7×5
= 35
Therefore, the number of different combinations of three students that are possible is 35.
There are 35 different combinations to chose 3 students from the 7 students
How to determine the number of combinations?The given parameters are:
Students, n = 7
Selected , r = 3
The number of different combinations is calculated using:
Combination = nCr
This gives
Combination = 7C3
Using the combination formula, we have:
Combination = 35
Hence, there are 35 different combinations to chose 3 students from the 7 students
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Which graph represents a linear function?
Can give brainliest!!
PLZ ANSWER THIS WUICK! THANKS!
Answer:
132+180+ 168=480
Step-by-step explanation:
3/8 of 480= 180 (tuna)
35% of 480=168 (beef)
ratio is 132 (ham)
and adds up to 480
T = 3x + 4y
x = 5
y=-3
(a) Work out the value of T.
(b) Expand 3g(8 + 3)
A.) let's solve for T :
T = 3x + 4yplugging in the values of x and y,
T = (3 × 5) + (4 × -3)T = 15 - 12 T = 3value of T = 3
B.) Expansion of 3g(8 + 3)
3g (8 + 3)3g (11)33gthat's all...