This is the UML diagram for the development of the program, in which Shapes 2D is the superclass and Circle, Square, Triangle, Rectangle, Rhombus, and Parallelogram are subclasses.
This is the program in C++ demonstrating the above classes.
#include<iostream>
using namespace std;
class shapes
{
public:
string name;
string color;
virtual void getAttributes()=0;
};
class Circle: public shapes
{
public:
float radius;
Circle(string n,string c, float r)
{
name=n;
color=c;
radius=r;
}
float getPerimeter()
{
return(2*(3.142)*radius);
}
float getArea()
{
return((3.142)*(radius*radius));
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Square:public shapes
{
public:
float side;
Square(string n,string c, float s)
{
name=n;
color=c;
side=s;
}
float getPerimeter()
{
return(4*side);
}
float getArea()
{
return(side*side);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Triangle:public shapes
{
public:
float base;
float height;
float side1;
float side2;
float side3;
Triangle(string n,string c)
{
name=n;
color=c;
}
float getPerimeter()
{
cout<<"Enter side1\n";
cin>>side1;
cout<<"Enter side2\n";
cin>>side2;
cout<<"Enter side3\n";
cin>>side3;
return(side1+side2+side3);
}
float getArea()
{
cout<<"Enter base\n";
cin>>base;
cout<<"Enter height\n";
cin>>height;
return((0.5)*base*height);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Rectangle:public shapes
{
public:
float length;
float breadth;
Rectangle(string n,string c, float l,float b)
{
name=n;
color=c;
length=l;
breadth=b;
}
float getPerimeter()
{
return(2*(length+breadth));
}
float getArea()
{
return(length*breadth);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Rhombus:public shapes
{
public:
float diagonal1;
float diagonal2;
float side;
Rhombus(string n,string c)
{
name=n;
color=c;
}
float getPerimeter()
{
cout<<"Enter Side\n";
cin>>side;
return(4*side);
}
float getArea()
{
cout<<"Enter diagonal 1\n";
cin>>diagonal1;
cout<<"Enter diagonal 2\n";
cin>>diagonal2;
return((0.5)*diagonal1*diagonal2);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Parallelogram:public shapes
{
public:
float base;
float height;
Parallelogram(string n,string c, float b,float h)
{
name=n;
color=c;
base=b;
height=h;
}
float getPerimeter()
{
return(2*(base+height));
}
float getArea()
{
return(base*height);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
int main()
{
int choice;
while(1)
{
cout<<"\n\nEnter your choice :";
cout<<"\n1 for Circle\n";
cout<<"2 for Square\n";
cout<<"3 for Triangle\n";
cout<<"4 for Rectangle\n";
cout<<"5 for Rhombus\n";
cout<<"6 for Parallelogram\n";
cin>>choice;
system("cls");
switch(choice)
{
case 1:
{
float r;
cout<<"Enter radius\n";
cin>>r;
Circle c("Circle","Yellow",r);
c.getAttributes();
cout<<"Perimeter : "<<c.getPerimeter()<<endl;
cout<<"Area : "<<c.getArea()<<endl;
}break;
case 2:
{
float side;
cout<<"Enter side\n";
cin>>side;
Square s("Square","Red",side);
s.getAttributes();
cout<<"Perimeter : "<<s.getPerimeter()<<endl;
cout<<"Area : "<<s.getArea()<<endl;
}break;
case 3:
{
Triangle t("Triangle","Green");
t.getAttributes();
cout<<"Perimeter : "<<t.getPerimeter()<<endl;
cout<<"Area : "<<t.getArea()<<endl;
}break;
case 4:
{
float l,b;
cout<<"Enter Length and breadth\n";
cin>>l>>b;
Rectangle r("Rectangle","Blue",l,b);
r.getAttributes();
cout<<"Perimeter : "<<r.getPerimeter()<<endl;
cout<<"Area : "<<r.getArea()<<endl;
}break;
case 5:
{
Rhombus r("Rhombus","Purple");
r.getAttributes();
cout<<"Perimeter : "<<r.getPerimeter()<<endl;
cout<<"Area : "<<r.getArea()<<endl;
}break;
case 6:
{
float b,h;
cout<<"Enter base\n";
cin>>b;
cout<<"Enter height\n";
cin>>h;
Parallelogram p("Parallelogram","Pink",b,h);
p.getAttributes();
cout<<"Perimeter : "<<p.getPerimeter()<<endl;
cout<<"Area : "<<p.getArea()<<endl;
}break;
}
}
}
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Can you show this answer to me
Selena got 5 out of 6 answers correct on her science quiz her friends Ana got 4 answers out of 6 correct on her quiz her which friend answered a greater fraction of the questions correctly
Selena got the greater fraction of the questions correctly as 5/6 > 4/6.
Explain the term fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as denominator of a complex fraction. The numerator of a proper fraction is smaller than the denominator.For the stated data in the question.
Correctly answered by Selena in science quiz = 5/6
In decimal form.
5/6 = 0.833
Correctly answered by Ana in science quiz = 4/6 .
In decimal form;
4/6 = 0.666
Now,
0.666 > 0.8333
Thus,
5/6 > 4/6
Therefore, Selena got the greater fraction of the questions correctly as 5/6 > 4/6.
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. in a city, a house can only belong to one of three counties, with 20% of the houses in the first county, 30% in the second and 50% in the third. a garage is attached to 70% of the houses in the first county, 80% of those in the second county and 90% of those in the third one. what is the probability that a house belongs to the second county, knowing that it has a garage attached to it? assume event a: a house belongs to the first county; event b: a house belongs to the second; event c: a house belongs to the third; event g: a house has an attached garage.
For given situation, the probability that a house belongs to the second county, knowing that it has a garage attached to it = 0.8
Assume event a: a house belongs to the first county;
event b: a house belongs to the second;
event c: a house belongs to the third;
event g: a house has an attached garage.
20% of the houses in the first county,
⇒ P(a) = 20%
30% of the houses in the second county
⇒ P(b) = 30%
50% of the houses in the first county.
⇒ P(c) = 50%
a garage is attached to 70% of the houses in the first county,
⇒ P(a ∩ g) = 70%
a garage is attached to 80% of the houses in the second county
⇒ P(b ∩ g) = 80%
and a garage is attached to 90% of the houses in the third county.
⇒ P(c ∩ g) = 90%
We need to find the probability that a house belongs to the second county, knowing that it has a garage attached to it.
i.e., P(b ∩ g) which is 80% = 0.8
Therefore, the probability that a house belongs to the second county, knowing that it has a garage attached to it is 0.8
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n this scenario, what is the test statistic? a business loan broker would like to test the claim that the average small business loan is different than 20 thousand dollars. sample size
The test statistic results for that scenario is -1.5.
How to calculate test statistic?Simplified the calculation by eliminating thousands of dollars.
[tex]\bar x[/tex] = sample mean = 18.5
s = sample standard deviation = 5
n = sample size = 25
[tex]\mu_{0}[/tex] = population mean for the null hypothesis = 20
Since the question provide us a test statistic formula. So,
[tex]t_{0}[/tex] = [tex]\frac{\bar x - \mu_0}{\frac{s}{\sqrt{n}}}[/tex]
= [tex]\frac{18.5 - 20}{\frac{5}{\sqrt{25}}}[/tex]
= [tex]\frac{-1.5}{\frac{5}{5}}[/tex]
= -1.5 / 1
= -1.5
Thus, the result for test statistic in that scenario is -1.5.
Your question is incomplete, but most probably your full question was (image attached)
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Explain how you use the table to find f(-2) and f(3).
Answer:
f(-2)=-12
f(3)= -2
Step-by-step explanation:
f(x) is original form
So for f(-2) we find where x is -2 and in this case f(x) is -12
And for f(3) we do similar but since x=3 isn’t on the table we see a pattern that whne x goes up one f(x) adds 2 so 3 is -2
Hopes this helps
The product of two consecutive odd
integers is 21 more than twice the larger
integer. Find the two integers.
A: Translate the problem into an equation.
B: Solve.
C: Show all of your work for bonus credit.
A: Translate the problem into an equation.
The integers when product of two consecutive odd integers is 21 more than twice the larger
integer are 5 and 7.
How to calculate the integer?Let the integers be x and x + 2. Since the product of two consecutive odd integers is 21 more than twice the larger integer. This will be:
x(x + 2) = 2(x + 2) + 21
x² + 2x = 2x + 4 + 21
x² + 2x = 2x + 25
Collect like terms.
x² + 2x - 2x - 25
x² - 25
x² - 5²
= (x - 5)(x + 5)
x - 5 = 0
x = 0 + 5
x = 5
The higher number will be:
= x + 2
= 5 + 2
= 7
The numbers are 5 and 7
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on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?
The statement which is true about the two equilateral triangles is b)The two triangles are the same shape but not the same size. So, correct option is b.
In calculation, a symmetrical triangle is a triangle where every one of the three sides have a similar length. In the natural Euclidean calculation, a symmetrical triangle is likewise equiangular; that is, every one of the three inward points are additionally compatible to one another and are each 60°. It is likewise an ordinary polygon, so it is additionally alluded to as a normal triangle.
Some of hypotheses which are made sense of utilizing symmetrical triangle:
Morley's trisector hypothesis expresses that, in any triangle, the three marks of convergence of the contiguous point trisectors structure a symmetrical triangle.Napoleon's hypothesis expresses that, in the event that symmetrical triangles are built on the sides of any triangle, either all outward, or all internal, the focuses of those symmetrical triangles themselves structure a symmetrical triangle.The side length of the primary symmetrical triangle is 3 inches.The side-length of the second symmetrical triangle is 4 inches.Since both the triangles are symmetrical triangles, in this way they have same shape.
Be that as it may, the two triangles have different side lengths in this way they have different size.
Hence, option b is correct.
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(Complete question) is:
on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?
a. The two triangles are the same size but not the same shape.
b. The two triangles are the same shape but not the same size.
c. The two triangles are the same size and same shape.
d. It is impossible to construct equilateral triangles with these side lengths.
a rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). what dimensions should be used so that the enclosed area will be a maximum?
The dimensions that need to be used so that the enclosed area of the two adjacent rectangular corrals will be maximum is 90 by 120 feet.
What do you mean by adjacent?
Adjacent refers to something that is close to or nearby. Your next-door neighbor is the person who lives in the home or apartment that is next to yours, even though you may consider the individuals who live up and down your street to be your neighbor.
Two things can be considered adjacent if they contact each other or share a wall or border. If two angles in geometry share a side and a vertex, they are said to be adjacent. In other words, neighbor angles do not overlap and are adjacent to each other immediately.
Solution Explained:
So according to the question, we get the equation
Perimeter is 4x + 3y = 720
⇒ x = 180 - [tex]\frac{3}{4}y[/tex]
Taking Area = 2xy
= 2(180 - [tex]\frac{3}{4} y[/tex])y
= 360y - [tex]\frac{3}{2} y^{2}[/tex]
Differentiating the function w.r.t y
A'(y) = 360-3y
Setting to 0
0 = 360 - 3y
⇒ y = 360 / 3 ⇒ 120
Now putting the value of y in
x = [tex]180- \frac{3}{4} X 120[/tex]
x = 180 - 90 = 90
So, the dimensions are 90 by 120 feet.
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The credit remaining on a phone card (in dollar) i a linear function of the total calling time made with the card (in minute). The remaining credit after 29 minute of call i $26. 23, and the remaining credit after 55 minute of call i $22. 85. What i the remaining credit after 59 minute of call?
Following 60 minutes of calls, the credit balance is $22.33 on a phone card.
Explain the term linear function?The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). 1 independent variable but one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.For the stated equation-
It's necessary to use the credit that remains after 60 minutes of calls.
Credit balance is $26. 23 - 29 minutes later.
Credit balance is $22. 85 - 59 minutes later.
Take the minutes as 'x' they are and the remaining credit as 'y' it is;
(29, 26. 23)
(59, 22. 85)
The equation will be because it is a linear function:
Y - y1 = m(x - x1)
Slope m = (y2 - y1)/(x2 - x1)
m = (22.85 - 26.23)/(55 - 29)
m = -3.38/30
m = - 0.13
Put the values in equation of the line.
y - 26. 23 = -0.13 (x - 29)
y = -0.13x + 30
For x = 59 minutes, remaining credit;;
y = -0.13(59) + 30
y = 22.33
Thus, following 60 minutes of calls, the credit balance is $22.33 on a phone card.
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Hi I need some help! This is algebra work btw
The solution to the system of equation y = - 2x - 7 and 9x - 10y = 12 is,
x = - 2 and y = - 3.
What are the types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.
Given, Are two linear equations y = - 2x - 7 and 9x - 10y = 12.
Therefore,
9x - 10y = 12.
9x - 10(- 2x - 7) = 12.
9x + 20x + 70 = 12.
29x = - 58.
x = - 2 and hence y = - 2(-2) - 7 ⇒ y = - 3.
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answer quickly please!!!!!!!!
Answer:
56 in^2
Step-by-step explanation:
The formula for calculating area of a triangle is:
h × b ÷ 2 (h: height, b: base)The height is 7t and base is 4t:
4t × 7t ÷ 2 = 14tthe value of t = 4 so replace x with 4:
4*14 = 56 in^2in how many ways can we arrange the face cards in a 52-card deck? (face cards are jack, king, queen) show your work.
By using the principle of counting, it can be calculated that
Total number of ways to arrange the four face cards in a 52-card deck = 11880
What is principle of counting?
Principle of counting states that if there are m ways to do one job and m ways to do another job after that job, there are m [tex]\times[/tex] n ways to do both the jobs together.
There are three face cards of hearts, three face cards of diamonds, three face card of clubs and three face cards of spade
Total number of face cards = 3 + 3 + 3 + 3 = 12
We can arrange the four face card in [tex]{12 \choose 4}[/tex] ways = 495 ways
The four cards should be arranged in a row.
Number of choices for the first card = 4
Number of choices for the second card = 3
Number of choices for the third card = 2
Number of choices for the fourth card = 1
Total number of ways to arrange the four cards in a row = 4 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 1 = 24
Total number of ways to arrange the four face cards in a 52-card deck =
495 [tex]\times[/tex] 24 = 11880
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help guys can you help me
Answer:
Help guys can you help me
a.write an equation to model the relationship
b.explain how you know if an equation or a graph represents a proportional relationship
Answer:
a) 12 · y = x
b) If the points show equivalent fractions and the line goes through (0,0)
Step-by-step explanation:
a1) divide any numbers from the x and y line (for example, 2 ÷ 24 would give us 12)
a2) This equation makes sense because any number from the x line (for example, 2) multiplied by 12 would give us the number from the y line (in this example, 24).
If a scatterplot of standardized, bivariate data displays data that are mostly lying in the upper left and lower right-hand quadrants, then the Pearson correlation is typically going to be negative. True
False
If a scatterplot of standardized, bivariate data displays data that are mostly lying in the upper left and lower right-hand quadrants, then the Pearson correlation is typically going to be negative. The above statement is false.
Bivariate data:Bivariate data involves studying and comparing two separate variables. For example, a researcher may record how long it takes people to complete a crossword puzzle while measuring the stress levels of the participants. In this example, the two variables that the researcher is examining are time and stress.
Scatterplots:Scatterplots display these bivariate data sets and provide a visual representation of the relationship between variables. In a scatterplot, each point represents a paired measurement of two variables for a specific subject, and each subject is represented by one point on the scatterplot.
When the points on a scatterplot graph produce a lower-left-to-upper-right pattern, we say that there is a positive correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be high as well, and vice versa.
When the points on a scatterplot graph produce a upper-left-to-lower-right pattern, we say that there is a negative correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be low, and vice versa.
In statistics, the Pearson correlation coefficient ― also known as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation or colloquially simply as the correlation coefficient ― is a measure of linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such that the result always has a value between −1 and 1. As with covariance itself, the measure can only reflect a linear correlation of variables, and ignores many other types of relationships or correlations. As a simple example, one would expect the age and height of a sample of teenagers from a high school to have a Pearson correlation coefficient significantly greater than 0, but less than 1 (as 1 would represent an unrealistically perfect correlation).
The Pearson correlation method is the most common method to use for numerical variables; it assigns a value between − 1 and 1, where 0 is no correlation, 1 is total positive correlation, and − 1 is total negative correlation. This is interpreted as follows: a correlation value of 0.7 between two variables would indicate that a significant and positive relationship exists between the two. A positive correlation signifies that if variable A goes up, then B will also go up, whereas if the value of the correlation is negative, then if A increases, B decreases.
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a rectangle is 6 feet longer than it is wide. find the dimensions of the rectangle if its area is 253 sq-feet.
The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.
What is area?The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Here,
length of rectangle=l
width=w
l=w+6
area=l*w
253=(w+6)*w
w²+6w-253=0
w=13.2 feet
l=19.2 feet
The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.
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In Wednesday 36%of the customer who bought at a gas station ñ.made additional purchase.there was 225 customers who bought doughnuts
There were a total of 625 customers who bought at a gas station on Wednesday
How to determine the total number of customers?From the question, we have the following parameters that can be used in our computation:
Number of customers that purchase doughnuts = 225
Proportion of customers who made additional purchase = 36%
The above parameters mean that:
Proportion of customers who made additional purchase = 36% of The total number of customers
Using the above as a guide, we have the following equation
36% * The total number of customers = 225
Divide both sides by 36%
The total number of customers = 625
Hence, the total number of customers is 625
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HELP
If
m = 1 68
and
m = 6 35 ,
then find the measures for each of the remaining numbered angles. Justify your
answers with definitions and/or theorems
Using the triangle sum theorem and other definitions, the measures of the other numbered angles are:
m∠5 = 68°
m∠3 = 35°
m∠4 = 112°
m∠7 = 145°
m∠2 = 77°
What is the Triangle Sum Theorem?In a triangle, all the three interior angles will add up to give a sum of 180 degrees according to the triangle sum theorem.
What is the Alternate Interior Angles Theorem?The alternate interior angles theorem states that any two angles that lie alternate to each other, they will have the same angle measure
Given the angle measures:
m∠1 = 68°
m∠6 = 35°
Therefore:
m∠5 = m∠1 [alternate interior angles theorem]
m∠5 = 68°
m∠3 = m∠6 [alternate interior angles theorem]
m∠3 = 35°
m∠4 = 180 - m∠5 [definition of linear pair]
m∠4 = 180 - 68
m∠4 = 112°
m∠7 = 180 - m∠6 [definition of linear pair]
m∠7 = 180 - 35
m∠7 = 145°
m∠2 = 180 - m∠5 - m∠6 [triangle sum theorem]
m∠2 = 180 - 68 - 35
m∠2 = 77°
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B) Find the measure of the indicated angle in each rhombus.
Answer:
4) ∠J = ∠L = 88°; ∠K = 92°
5) ∠P = ∠R = 34°; ∠S = 146°
6) ∠T = 54°; ∠U = ∠W = 126°
Step-by-step explanation:
You want the remaining angles in each rhombus where one angle is specified.
Angle relationsIn a rhombus, as in any parallelogram, opposite angles are congruent, and adjacent angles are supplementary.
ApplicationIn each of the rhombi, the adjacent angle is supplementary:
4) 180° -92° = 88°
5) 180° -146° = 34°
6) 180° -54° = 126°
Then the angle measures of interest are ...
4) ∠J = ∠L = 88°; ∠K = 92°
5) ∠P = ∠R = 34°; ∠S = 146°
6) ∠T = 54°; ∠U = ∠W = 126°
you intend to estimate a population mean with a confidence interval. you believe the population to have a normal distribution. your sample size is 15. find the critical value that corresponds to a confidence level of 90%. (report answer accurate to three decimal places with appropriate rounding.)
The critical value that corresponds to a confidence level of 90 % [1.34503037 , ∞ ).
Given:
you intend to estimate a population mean with a confidence interval. you believe the population to have a normal distribution. your sample size is 15. find the critical value that corresponds to a confidence level of 90%.
sample size n = 15
confidence interval ci = 90
we know that,
Degrees of freedom df = n - 1
here n = 15
df = n - 1
= 15 - 1
= 14
Using the graphical t value calculator:
with df = 14 significance level = 1 - 0.90 = 0.10
so t = [1.34503037 , ∞ )
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x-1/3+6-9=7 ples plss ples helpppp
Hope this helps!
using the lengths (in.), chest sizes (in.), and weights (lb) of bears from a data set, the resulting regression equation is weight 2740.426 length 12.1 chest size. the p-value is 0.000 and the adjusted r value is 0.925. if an additional predictor variable of neck size (in.) is included, the p-value becomes 0.000 and the adjusted r becomes 0.933. why is it better to use values of adjusted r instead of simply using values of r?
It's better to use adjusted R-squared than simple R because the adjusted R-squared is adjusted for the number of variables and sample size whereas simple R has different values for each size.
Adjusted R-squared considers and tests different independent variables against the model and R-squared does not.
Many investors prefer adjusted R-squared because adjusted R-squared can provide a more precise view of the correlation by also taking into account how many independent variables are added to a particular model against which the stock index is measured.
The unadjusted R-squared increases or stays the same as more variables are included, whereas the adjusted R-squared is adjusted for the number of variables and large sample size.
Adjusted R-squared is calculated for multiple explanatory variables and R-squared value is calculated for only one explanatory variable.
That's why It is better to use values of adjusted R instead of simply values of R
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Slope of line that passes through (2,7) and (-4,19)
To calculate the slope of the line, we have that its points are A(x₁, y₁) and B(x₂,y₂), we apply the following formula:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{\Delta y}{\Delta x} \iff m=\frac{y_2-y_1}{x_2-x_1} } \end{gathered}$}}[/tex]
To solve, we have that the points are:
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{A(x_1=\underbrace{2} \ \ , \ \ y_1=\overbrace{7} \ ) \ and \ B(x_2=\underbrace{-4} \ \ , \ \ y_2=\overbrace{19} } \end{gathered}$}}[/tex]
What we do to solve is that we substitute this data in the formula provided above.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\dfrac{y_2-y_1}{x_2-x_1} } \end{gathered}$}}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{19-7}{-4-2} } \end{gathered}$}}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{m=\frac{12}{-6}=-2 } \end{gathered}$}}[/tex]
The slope of the line that passes through (2,7) and (-4,19) is -2.how much time should be allowed for a 605 mile card ship if the car will be traveling at an average speed of 55 mph
The time that the car will travel when the average speed is 55mph is 11 hours.
How to calculate the time?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
From the information, the car has an average speed of 55 mph and it's travelling at 605 miles.
It should be noted that time will be calculated as the distance divided by the speed that given and this will be:
Time = Distance / Speed
Time = 605 / 55
Time = 11
The time is 11 hours.
This simply illustrates the time.
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Is 3x 1/2 = 3 true or false?
Answer:
Step-by-step explanation:
true
A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer
The p-value when the test statistic is equal to 2.30 is 0.033.
What is the p-value?A statistical measurement known as a p-value is employed to check a hypothesis' validity against actual data.
A p-value calculates the likelihood of getting the outcomes that were observed, presuming that the null hypothesis is correct.
The statistical significance of the difference that was found increases with decreasing p-value.
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.
So, the p-value will be:
The t-value for (n-1 = 20-1 = 19) degrees of freedom serves as the test statistic in this experiment.
Using the formula: T.DIST.2T(2.3,19)
The p-value will be 0.033.
Therefore, the p-value when the test statistic is equal to 2.30 is 0.033.
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Complete question:
A restaurant decides to test their oven's thermostat to see if it is working properly, that is if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set to 350 degrees and then the temperature was measured with a thermometer.
H o: μ=350 and Ha: μ≠350
The test statistic is equal to 2.30. What is the p-value _____?
Victoria deposited $5000 into a savings account that earns an annual simple interest rate of 0.3%. To the nearest tenth of a year, how long will it take for the account to reach $5500?
The account, will reach $5500 in 33.33 years. if Victoria deposits $5000 into a savings account.
What exactly is simple interest?The direct crediting of cash flows associated to an investment or deposit is referred to as simple interest. Simple interest is a quick and straightforward way to calculate the interest amount on a loan. Simple interest is calculated by multiplying the daily interest rate by the principle by the number of days between payments.
The written formula is "Simple Interest = Principal x Interest Rate x Time." This is the most fundamental method of calculating interest.
Victoria deposited $5000 into a savings account with an annual basic interest rate of 0.3%.
Simple Interest Formula
A = P(1 + rt)
5500 = 5000(1 + 0.003t)
5500 = 5000 + 15t
15t = 500
The account will reach $5500 in 33.33 years.
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use a binomial model to calculate the probability that, in a random sample of 100 people, at least 6% of those in the sample believe the thing about reptilian people controlling our world.
The probability that at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567
What is binomial probability distribution?
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
According to the given question:
n = 100 random sample
p = 0.6 probability of success
P(X = x) = n to x pˣ(1-p)ⁿ⁻ˣ
P(X = 30) = 100 to 30 (0.6)³⁰(0.4)⁷⁰
= 0.0567
Hence the probability that at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567
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the area of a rectangle is 17.6 square centimeters. find the value of x when the length of the rectangle is x 2.3 and the width is x.
The width of the rectangle, x is 2.76 cm
Given,
The area of a rectangle = 17.6 square centimeters
Length of the rectangle = 2.3x
Width of the rectangle = x
We have to find the value of x.
Here,
Area of rectangle = length × width
Then,
17.6 = 2.3x × x
17.6 = 2.3x²
x² = 17.6/2.3
x² = 7.65
x = √7.65
x = 2.76
Now,
Width of the rectangle = 2.76 cm
Length of the rectangle = 2.76 × 2.3 = 6.35 cm
Therefore,
The value of x, that is the width of the rectangle is 2.76 cm
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a student began his part ii titration with an air bubble in the buret tip. the bubble was released, unnoticed, at some point during the titration. briefly describe the error that the bubble would have caused in his titration results if: (a) the bubble had been released prior to the equivalence point of the titration. (b) the bubble had been released after the equivalence point.
Part a: The volume of such base would appear to be larger than it was if the bubble was already let go before the titration's equivalence point.
Part b: There would be no impact if the bubble had already been let go after the equivalent point.
Explain the term titration?A titration is a method for figuring out the concentration of an unidentified solution by using a solution with known concentration. Until the reaction is finished, the titrant (the known solution) is typically added from just a buret to a known volume of the analyte (this same unknown solution).For the stated condition-
An air bubble was present in the buret tip as the student started his part II titration. Unnoticed bubble release occurred at some point in the titration.
The inaccuracy in his titration findings that the bubble would've have made if:
Part a: If the bubble had burst before the titration's equivalence point, the base's volume would have appeared larger than it originally was, having the base seem stronger than it is, and changing calculations.
Part b: There would be no impact if the bubble had already been let go after the equivalent point.
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Math
Omar opened a savings account and deposited $800.00. The account earns 6% interest,
compounded annually. If he wants to use the money to buy a new bicycle in 2 years, how
much will he be able to spend on the bike?
A
Round your answer to the nearest cent.
$
Recommendations
Answer:
898.88
Step-by-step explanation:
if you multiply 800 by 1.06, then multiply that answer by 1.06, you get 898.88