The two data sets for which a linear regression model is reasonable include the following: a) Aaliyah’s and Julio’s data sets.
What is a positive correlation?In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.
This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. This ultimately implies that, when one variable increases, the other increases, as well.
In order to determine if a data set has a good linear relationship, we would have to interpret the correlation coefficient (r), which typically ranges between -1 to 1 as depicted by both Aaliyah’s and Julio’s data sets.
Read more on positive correlation here: brainly.com/question/3753830
#SPJ1
Complete Question:
Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of –0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of –0.2. For which two data sets is a linear regression model reasonable?
a)Aaliyah’s and Julio’s data sets
b)Julio’s and Miriam’s data sets
c)Dan’s and Miriam’s data sets
d)Miriam’s and Aaliyah’s data sets
2. When Madison got her kitten, Fluffy, he weighed
787.37 grams. He now weighs 2,085.8 grams more than
he did when Madison first brought him home. How much
does Fluffy weigh now?
Using subtraction, weight put on by kitten is 1,298.43.
When we subtract from the group, the total number of items falls or gets less. The minuend, subtrahend, and difference are the elements of a subtraction problem.
It involves calculating the difference between two numbers. The icon looks like this: (minus). In this operation, we take a number and divide it by a smaller number. In other words, we divide one integer by another.
Weight of kitten when Madison brought her = 787.37 grams
Current weight of Madison = 2085.8 grams
Using subtraction,
Total weight Kitten put on = (2085.8 - 787.37)grams
= 1,298.43
To learn more about Subtraction from given link
https://brainly.com/question/28467694
#SPJ1
What is the graph of the function? y=2x2^x
Answer:
use symbolab it will give you the answer
Step-by-step explanation:
The price of gas today is 200% of the price last year.
Does that mean the price has doubled?
Answer: Yes, it does.
Step-by-step explanation: Let x represent the price of gas today. 200% of x=200/100*x, which can be written as 2x because 200/100=2. 2x is x doubled, and therefore, it does mean the price has doubled.
Answer:
yes, the price has doubled
PLS HELP!!!
SNOWBOARDING Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 miles north of his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel's house. How far away are the two boys from the resort?
The two boys are far away from the resort and distance measured about 35.81m.
The Pythagoras Theorem's fundamental formula is what?The Pythagoras theorem equation is written as c² = a² + b², with c denoting the hypotenuse of the right triangle and a and b denoting the other two legs. So, any triangle that has a 90° angle creates a Pythagoras triangle, which can then be solved using the Pythagoras equation.
We must first use the Pythagoras theorem to determine how far the resort is from Manuel's home.
S₁ = √50²+20²
S₁ = √2500+400
S₁ = √2900
S₁ = 53.85m.
The distance between Manuel's house and his friend's house must then be calculated.
S₂ = √15²+10²
S₂ = √225+100
S₂ = √325
S₂ = 18.03m.
The displacement of the two boys will be,
∆S = S₁-S₂
∆S = 53.84-18.03
∆S = 35.81m.
To know more about Pythagoras theorem visit:
https://brainly.com/question/30325001
#SPJ1
The two boys are far away from the resort and the distance measured about 35.81 m.
The Pythagoras Theorem's fundamental formula is what?The Pythagoras theorem equation is written as c² = a² + b², with c denoting the hypotenuse of the right triangle and a and b denoting the other two legs. So, any triangle that has a 90° angle creates a Pythagoras triangle, which can then be solved using the Pythagoras equation.
We must first use the Pythagoras theorem to determine how far the resort is from Manuel's home.
S₁ = √50²+20²
S₁ = √2500+400
S₁ = √2900
S₁ = 53.85m.
The distance between Manuel's house and his friend's house must then be calculated.
S₂ = √15²+10²
S₂ = √225+100
S₂ = √325
S₂ = 18.03m.
The displacement of the two boys will be,
∆S = S₁-S₂
∆S = 53.84-18.03
∆S = 35.81m.
To know more about Pythagoras' theorem visit:
https://brainly.com/question/21926466
#SPJ1
The volume of this cylinder is 2880π cm3.
Find the length of the radius, r.
Give your answer as a surd in its simplest form.
Step-by-step explanation:
[tex]volume \: of \: cyinder = \pi{r}^{2}h \\ \pi {r}^{2} \times 120cm = 2880\pi {cm}^{3} \\ {r}^{2} = 24 \: {cm}^{2} \\ r = \sqrt{24} \: = 4.899 \: cm[/tex]
Select the correct answer. Solve the exponential equation for x. 625 = 5 ( 7 x − 3 ) A. x = 2 B. x = - 2 C. x = 1 D. x = - 1
What are the 2 real solutions?.
The 2 real solutions are rational and irrational solutions.
Quadratic Formula is the simplest method to find the roots of a quadratic equation. There are particular quadratic equations that cannot be easily factorized, and here we use this quadratic formula to find the roots in the quickest possible way.
Quadratic Formula: The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
The value b² - 4ac is called the discriminant of a quadratic equation and is represented as 'D'. The nature of the roots of the quadratic equation can be predicted based on the discriminant value.
If D > 0, the roots are real and distinct (two real solutions).
If D = 0, the roots are real and equal (one real solution).
If D < 0, the roots do not exist, or they are imaginary (two imaginary solutions).
To know more about real solutions, here
https://brainly.com/question/4526506
#SPJ4
hi guys can you guys see if question a and b is correct or not
Answer:
a = 97° , b = 19°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(a)
a is an exterior angle of the triangle , then
a = 40° + 57° = 97°
(b)
57° is an exterior angle of the triangle , then
b + 38° = 57° ( subtract 38° from both sides )
b = 19°
An automated car wah can wah 30 car in 5 hour. How long would it take to wah 120 car?
Repone
A 15 h B 20 h
C 25 h D 30 h
pleae help
It would take the automated car wash 20 hours to wash 120 cars.
What is rate ?
In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.
In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.
The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:
Time = (Number of cars / Rate)
Time = (120 cars / 30 cars per 5 hours)
Time = (120/30) * 5 hours
Time = 20 hours
So it would take the automated car wash 20 hours to wash 120 cars.
To learn more about rate visit : brainly.com/question/14731228
#SPJ4
The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:
Time = (Number of cars / Rate)
Time = (120 cars / 30 cars per 5 hours)
Time = (120/30) * 5 hours
Time = 20 hours
So it would take the automated car wash 20 hours to wash 120 cars.
What is the value of log?.
Value of log 1 is 0 for base 10.
In mathematics, logarithmic functions, also referred to as log functions, are the inverse function of exponentiation. A logarithm, by definition, is a measurement that shows how much a base (fixed number) is raised to get a given number.
The two different kinds of logarithmic functions, in general. The base of the logarithmic function in common logarithmic functions is 10. The base of the logarithmic function in a natural logarithmic function is e.
Hence, the value of log 1 is 0 for base 10.
Correct question :
What is the value of log 1 for base 10?
To learn more about log here:
https://brainly.com/question/30085872
#SPJ4
please graph y≤ 2x-3
How do you plot a 3 4 graph?.
On a graph, indicate the coordinate plane point (3,4). It's contains of two coordinate are x , y coordinate
Identify the first four positive units and draw the y-axis.
The x-axis is then drawn, and the first four positive units are labeled.
The x-coordinate is 3, thus.
The y-coordinate is 4, thus.
Plotting (3,4) requires us to start at the beginning.
The x-coordinate being positive 3, we shift 3 units to the right.
The y-coordinate being positive 4, we shift 4 units to the right .
The point's x-value indicates how it travels to the right or left along the x-axis. The rectangular axis, often known as the Cartesian plane, has this axis as its major horizontal line.
The point's y-value indicates how it goes up or down along the y-axis. The rectangular axis, often known as the Cartesian plane, is centered on this axis.
To know more about plot on
https://brainly.com/question/28143919
#SPJ4
What do you divide by 260 to get a 100
Answer:
2.6
Step-by-step explanation:
260÷x=100
260/x=100
260=100x
x=2.6
Nicole bought ix concert ticket for a total of $332. Thi included a ervice charge of $8. How much did each ticket cot?
Each ticket cost 54$.
$332 (the total cost of the tickets) less $5 (the service charge) equals the cost of 9 tickets.
Round your estimate to the nearest even number: If you want it to be an even $100, deduct $4 rather than $5. Then multiply by a whole number to get 9 + 2 = 10. You now have simple numbers. $10 is equivalent to $100 divided by 10 tickets.
3. $104 (the total cost of the tickets) less $5 (the service charge) equals the cost of 8 tickets.
STEP 1: $5 off of $104 equals $99
$99.00 is equal to the cost of 9 tickets.
Step 2: Divide $99 by 9 to get $11.
Consequently: The Price/Ticket is $54.
Know more about Cost
https://brainly.com/question/29199155
#SPJ4
A number has exactly 8 factors, two of which are 4 and 20. List all the factors of the number.
The number in question is 4*20 = 80.
The factors of 80 are:
1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
A factor of a number is an integer that divides the number completely without leaving a remainder. To find the factors of 80, we can start with 1 and divide 80 by each number up to 80. Any number that divides 80 without leaving a remainder is a factor of 80.
1, 2, 4, 5, 8, 10, 16, 20, 40 and 80 are the factors of 80.
What is the sum rule in integration?.
∫(f(x) + g(x)) dx = ∫f(x) dx + ∫g(x) dx is the sum rule in integration.
The sum rule in integration states that if f(x) and g(x) are two functions that are both integrable over a given interval, then the integral of the sum of these functions over that interval is equal to the sum of the integrals of the individual functions over that interval. Mathematically, this can be expressed as:
∫(f(x) + g(x)) dx = ∫f(x) dx + ∫g(x) dx
The sum rule of integration is: Integral of the sum of two functions is equal to the sum of integration of individual functions.
To learn more about integration visit: brainly.com/question/18125359
#SPJ4
find the volume of a cube with the side length of 1/5cm
A toy american eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?.
95% of toy eskimo dogs have weight between 6.04 and 9.96 pounds assuming normal distribution.
What is weight ?
Weight is a measure of the force exerted on an object due to gravity. It is typically measured in units of mass such as kilograms (kg) or pounds (lbs). The weight of an object can be determined by multiplying its mass by the acceleration due to gravity.
Assuming the weights of toy eskimo dogs are normally distributed, we can use the standard normal distribution table to find the range of weights that would include 95% of the dogs.
The standard normal distribution table gives the proportion of data within a given number of standard deviations from the mean. Since the standard deviation of the toy eskimo dog's weight is 1 pound, we can use this table to find the range of weights that are within 1.96 standard deviations from the mean.
Using this method, we can find that 95% of the toy eskimo dogs will have a weight that is between 6.04 pounds (8 - 1.96) and 9.96 pounds (8 + 1.96).
95% of toy eskimo dogs have weight between 6.04 and 9.96 pounds assuming normal distribution.
To learn more about weight visit : brainly.com/question/10069252
#SPJ4
When you solve an equation for one variable and then substitute the resulting expression in for that variable in the other equation This is known as the?.
When you solve an equation for one variable and then substitute the resulting expression in for that variable in the other equation its is known as Substitution method.
I will demonstrate how the substitution method works. Suppose we have the following systems of linear equations with two variables:
Equation 1: 3x + 2y = 11
Equation 2: -x + y = 3
By solving these two equations we get x=1 and y=4.
Equation 2: -x + y = 3
-x + x + y = x + 3
y = x + 3
Next, substitute the value of y in Equation 2 (from the previous step), and substitute its value into Equation 1 to solve for x:
Equation 1: 3x + 2y = 11
Substitute y = x + 3 into Equation 1:
3x + 2(x + 3) = 11
3x + 2x + 6 = 11
Combine like terms:
5x + 6 = 11
5x + 6 - 6 = 11 - 6
5x = 5
Divide both sides by 5 to solve for x:
[tex]\frac{5x}{5} = \frac{5}{5}[/tex]
x = 1
Substitute the value of x into Equation 2 to solve for y:
Equation 2: -x + y = 3
-1 + y = 3
y = 3 + 1
y = 4
Learn more about Substitution:
https://brainly.com/question/22340165
#SPJ4
A tiling pattern i defined by the pattern rule equation n=53pn=53p, where pp i the poition number and nn i the number of tile. How many tile would there be in poition 26?
Thus, position 26 would have 1378 tiles.
Pattern rule equation:
A pattern rule equation is a mathematical formula that describes how a pattern is created. It defines the relationship between the position number (p) and the number of tiles (n) in the pattern.
The pattern rule equation is a useful tool to predict the number of tiles in a certain position, for example, position 26 as I mentioned in my previous answer.
It's also useful to predict the total number of tiles in a pattern or to identify the position number of a specific number of tiles.
In the pattern rule equation n = 53p, n is the number of tiles and p is the position number. To find the number of tiles in position 26, we can substitute 26 for p in the equation:
n = 53p
n = 53(26)
n = 1378
So there would be 1378 tiles in position 26.
To learn more about pattern rule equations, refer to the link:brainly.com/question/21591998
#SPJ4
Write an algebraic expreion that repecent the um of y to the fifth power and eleven
The given expression is expressed in an algebraic expression as: y^5 + 11
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
In mathematics, when we express “sum” we mean an addition. So the expression "the sum of y... and eleven" is represented by:
y + 11
When we refer "fifth power" we mean an exponent equal to five. So the expression “y to the fifth power” is represented by:
y^5
The complete expression "the sum of y to the fifth power and eleven" in an algebraic expression represented by: y^5 + 11
Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607
#SPJ4
Correctly written question:
Write an algebraic expression that represent the sum of y to the fifth power and eleven
How many solutions does the following pair of linear equations have 3x 5y 20 6x 10y 40?.
The pair of linear equations 3x + 5y = 20 and 6x + 10y = 40 have infinitely many solutions.
The given pair of linear equations can be represented in the form of Ax + By = C and Dx + Ey = F, where A = 3, B = 5, C = 20, D = 6, E = 10, and F = 40.
To find the number of solutions for the given pair of linear equations, we can use the following method:
Form the determinant of the coefficients of the variables (x and y) by taking the product of A and E and subtracting the product of B and D.Calculate the value of the determinant, in this case (3 * 10) - (5 * 6) = 30 - 30 = 0. If the determinant is zero, the system has either no solution or infinitely many solutions. In this case, the system of equations has infinitely many solutions, since the determinant is zero.So, the pair of linear equations 3x + 5y = 20 and 6x + 10y = 40 have infinitely many solutions.
To learn more about linear equations visit:
brainly.com/question/11897796
#SPJ4
What are the coordinates of the vertex of the graph of the function y 3x² 12x 3?.
The coordinates of the vertex of the function y = -3x² -12x + 3 is (-2,15) and the graph of the function is attached below.
Vertex in math is known as a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet.
Here we have given that the function y = -3x² - 12x + 3 and we have to find the coordinates of the vertex.
As we all know that for any equation of the type y = ax² + bx + c the vertex is given by (h, k)
And the value of the vertex is calculated by using the formula h = -b/2a and k = (4ac - b2)/4a.
From the given question we have identified the value of a = -3, b = -12 and c = 3
Then the value of h is calculated as,
=> h = -(-12)/2(-3)
When we simplify this one then we get the value of h as -2
Similarly the value of k is calculated as,
=> 4ac = 4(-3)(3) = -36
Then the equation is written as,
=> k = [-36 - (-12)2]/4(-3)
When we simplify this one then we get
=> k = -180/-12
Therefore, the value of k is 15
Hence the coordinates of the vertex is (h, k) = (-2, 15).
Complete Question:
What are the coordinates of the vertex of the graph of the function y = -3x² -12x + 3?
To know more about Vertex here.
https://brainly.com/question/29030495
#SPJ4
A scoop from a bin of assorted jelly beans contained a mix of flavors. root beer 5 licorice 22 cinnamon 6 What is the experimental probability that the next jelly bean scooped from the bin will be a cinnamon jelly bean? Write your answer as a fraction or whole number.
The experimental probability of getting a cinnamon jelly bean is P = 2/11
How to get the experimental probability?Suppose that we have an experiment with some given number of outputs, and we perform that experiment N times.
The experimental probability of a given outcome is equal to the quotient between the number of times that we got that outcome and the total number of times we performed the experiment.
Here we have the data:
root beer = 5
licorice = 22
cinnamon = 6
For a total of 5 + 22 + 6 = 33 tries.
Then the probability of getting a cinnamon jelly bean is:
P = 6/33 = 2/11
Learn more about probability at:
https://brainly.com/question/25870256
#SPJ1
I GOT A B+!!!!!!
thanks to the nice gentlemen who gave me the answer to the last question I was stuck on!!!
congrats man!!
good job!! you did great on it
What is the ratio of tan θ?.
The tan function is referred to as the ratio of a right-angled triangle's opposite side to its neighbouring side.
The length of the neighbouring side to the angle and the opposite side to the angle are compared using the Tan formula. If we know the angle and either side of the triangle.
The six inverse trigonometric ratios are as follows: sin-1 (opposite)/(hypotenuse) = cos-1 (base)/(hypotenuse) = tan-1 (opposite)/(hypotenuse)=θ
we can also use the tan formula to determine the lengths of the triangle's sides. Tan Formula is formally defined as
tanФ = Opposite SideAdjacent Side
To learn more about tan function:
https://brainly.in/question/37844990
#SPJ4
Find the magnitude and direction of the vector <4, 2>. Round angles to the nearest degree and other values to the nearest tenth.
The magnitude and direction of vector <4, 2> are 2√5 and 26.6°, respectively.
How to calculate the magnitude and direction of a vector
In this problem we find the representation of a two-dimension vector, that is, a vector of the form <x, y>. Vectors are described both by magnitude and direction:
Magnitude - This can be found by Pythagorean theorem:
r = √(x² + y²)
Direction - This can be determined by following inverse trigonometric function:
θ = tan⁻¹ (y / x)
Where θ is expressed in degrees.
If we know that x = 4 and y = 2, then the magnitude and direction of the vector <4, 2> are, respectively:
r = √(4² + 2²)
r = √20
r = 2√5
θ = tan⁻¹ (2 / 4)
θ = tan⁻¹ (1 / 2)
θ ≈ 26.565°
To learn more on vectors: https://brainly.com/question/29740341
#SPJ1
Simplify: 2 \left( 5 + 3 \mathrm{x} \right) + \left( \mathrm{x} + 10 \right)2(5+3x)+(x+10)
The simplified expression of 2(5+3x)+(x+10) is 7x + 20
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
2(5+3x)+(x+10)
Open the brackets
so, we have
10 + 6x + x + 10
Evaluate the like terms
7x + 20
Hence, the expression is 7x + 20
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Find each unknown number.
12 is 150% of what number?
5 is 50% of what number?
10% of what number is 300?
5% of what number is 72?
20 is 80% of what number?
All the required values are given below.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
To find the percentages:
12 is 150% of,
= 12 x 100/ 150
= 8.
5 is 50% of,
= 5 x 100/50
= 10
10% of m number is 300,
m = 300 x 100/ 10
m = 3000
5% of k number is 72,
k = 72 x 100/5
k = 1440
20 is 80% of,
= 20 x 100/80
= 25
Therefore, all the required values are given above.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
What substitution should be used to rewrite x8 3x4 2 0 as a quadratic equation?.
The substitution that should be used to rewrite x⁸ + 3x⁴ + 2 = 0, as a quadratic equation is U = x⁴ .
The equation is called as quadratic if the equation has the highest degree as 2 , it can also be called as an algebraic equation that is second degree in x .
The equation to make a quadratic is x⁸ + 3x⁴ + 2 = 0 ;
we have to make this given equation a quadratic equation ,
So , we substitute U = x⁴ , in equation ,
we get ;
⇒ (x⁴)² + 3x⁴ + 2 = 0 ;
⇒ (U)² + 3U + 2 = 0;
the equation becomes ⇒ U₂ + 3U + 2 = 0 , which is an quadratic equation,
Therefore , the substitution that should be used is U = x⁴ .
The given question is incomplete , the complete question is
What substitution should be used to rewrite x⁸ + 3x⁴ + 2 = 0 as a quadratic equation ?
Learn more about Quadratic Equations here
https://brainly.com/question/16712208
#SPJ4
