2) The dimension of the assembly area is 124m x 92m. Find the area that are not occupied
by children if each student occupies an area of 1mx1m.
a) 3739
b)3839 11408 d) 12408
3) If 69 students are removed from the existing number, what is the smallest number that must
be divided to get a perfect square.
4) If every year 5 rows and Scolumns are increased, derive a formula for number of students
in each row.

Answer:

Vertical angles

Step-by-step explanation:

I just think that's the answer

have a great rest of ur day though

The original cube has a side length of 1.95 inches on each side.

This is further explained below.

A cube is a solid object that has three dimensions and is characterized by having six square faces, facets, or sides, of which three meet at each vertex.

Generally, Because the sides are not all the same length, a cuboid is formed when additional sides are added to the existing ones.

450 cubic inches is the volume of the newly designed rectangular prism.

= (x+4)×(2x×x )

= 450

Where

2x cubed 8x squared

=450

Therefore

=16x5

=450

= 1.95 inch

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Answer:

5 inches

Step-by-step explanation:

there's a link to the quiz on Quizlet

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

The unit price in dollars per orange is $ 4. 2

A unit price is the price for a given commodity or service that includes all extra costs attached to the item.

It is described as the product's average price.

It is determined by dividing the product's total sales revenue by the total units sold for the product.

It is known as the price per unit of the product.

From the information given, we have that;

$3.84 for a bag of 16 oranges

The unit price;

= 16/3. 84

Divide the values

= $4. 166

=$ 4. 2

Hence, the value is $ 4. 2

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Answer:

6.5 miles per day

Step-by-step explanation:

Take the number of miles and divide by the number of days

39 miles/ 6 days

6.5 miles per day

Answer: 6.5 miles per day is correct

Step-by-step explanation:

You would just need to divide 39 by 6 to find the total miles per day. Therefore C: 6.5 is correct!

Answer:

result is $6432.00 | 221.43

Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

Answer:

1/3 divided by 3/8 is 8/9

Step-by-step explanation:

The answer is 8/9 because 1/3 multiplied by 8/3 is 8/9

P.S Can I have brainliest?

Answer:

\(\frac{8}{9}\)

Step-by-step explanation:

\(\frac{1}{3}\) ÷ \(\frac{3}{8}\) = \(\frac{1}{3}\) x \(\frac{8}{3}\) = \(\frac{8}{9}\)

Answer:

Explanation:

A number is said to be in standard form when it is written as a product of a number between 1 and 10 and a power of 10.

The given length is:

This number is already in standard form.

The maximum displacement of the tuning fork is 0.4 mm

A tuning fork is a acoustic resonator , It is used to tune musical Instruments.

It is given in the question that the

displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.4 sine (1760 pi t).

the maximum displacement of the tuning fork = ?

The equation for a sine function is given by

f(t) = A sin(Bt + C) + D

here A is the maximum Displacement

When this equation is compared with the given equation

d = 0.4 sine (1760 pi t).

A = 0.4

The maximum displacement of the tuning fork is 0.4 mm

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The probability that exactly 9 out of the 14 adults surveyed name professional football as their favorite sport is approximately 0.0963.

To determine whether the normal distribution can be used to approximate the binomial distribution in this case, we need to check if both np and nq are greater than or equal to 5, where n is the number of trials and p is the probability of success in each trial.

In this scenario, we have n = 14 (the number of adults surveyed) and p = 0.32 (the probability of naming professional football as their favorite sport). Therefore, np = 14 * 0.32 = 4.48 and nq = 14 * (1 - 0.32) = 9.52.

Since both np and nq are less than 5, we cannot use the normal distribution to approximate the binomial distribution. The conditions for using the normal approximation are not satisfied.

Now, let's move on to part (a) of the problem:

(a) Find the probability that exactly 9 out of the 14 adults surveyed name professional football as their favorite sport.

To calculate this probability, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k successes

C(n, k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials

p is the probability of success

n is the number of trials

In this case, k = 9, n = 14, and p = 0.32.

Using the formula, we can calculate the probability:

P(X = 9) = C(14, 9) * 0.32^9 * (1 - 0.32)^(14 - 9)

Calculating the values:

C(14, 9) = 2002

0.32^9 ≈ 0.001697

(1 - 0.32)^(14 - 9) ≈ 0.028248

Substituting the values:

P(X = 9) ≈ 2002 * 0.001697 * 0.028248

Calculating the result:

P(X = 9) ≈ 0.0963 (rounded to four decimal places)

Therefore, the probability that exactly 9 out of the 14 adults surveyed name professional football as their favorite sport is approximately 0.0963.

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The new dimensions of the garden are 8 feet and 7 feet.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

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Answer:

I believe the correct answer is d

Answer:

The answer is D

Step-by-step explanation:

I took the test :D

A hyperbola is the locus of focus in a plane with the end goal that the distinction of the distances to two fixed focuses called the foci is steady.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The equation of the hyperbola is given as,

x²/a² - y²/b² = 1

A hyperbola is homogeneous along its conjugate axis and resembles the ellipse in many ways. A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity. Examples of graphs of the function that are frequently seen include the path taken by the tip of a sundial's light, the dispersion route of elementary particles, etc.

A hyperbola is the locus of focus in a plane with the end goal that the distinction of the distances to two fixed focuses called the foci is steady.

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Answer:

the vertex form is -1(x+4)-11

Step-by-step explanation:

i attached my work

Equation and solution of equation :

17.25 + p(17.50) = 69.75

17.25 + 17.50p = 69.75

17.50x = 69.75 - 17.25

17.50p = 52.50

p = 52.50/17.50

p = 3

So three people can go to the amusement park (assuming that they are all travelling together in the same car).

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.

Let p be the number of people. Then the equation is given as,

17.50p + 17.25 = 69.75

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

When a correlation is computed while statistically controlling for a third variable, this is called a partial correlation.

Partial correlation is a statistical technique used to measure the strength and direction of the relationship between two variables while controlling for the influence of a third variable.

It allows us to examine the unique relationship between two variables, independent of the third variable's effects.

To compute a partial correlation, you need to use statistical software that offers this functionality.

The process involves calculating the correlation coefficient between the two variables of interest, while simultaneously controlling for the effects of the third variable.

This is typically done by including the third variable as a control variable in the analysis.

A partial correlation is the term used to describe the computation of a correlation while controlling for a third variable.

It helps researchers understand the relationship between two variables while accounting for the influence of additional factors.

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Answer: y=24

Step-by-step explanation:

y/3 - 12 = 4

3(y/3 - 12 = 4)

y-12+12=12+12

y=24

Answer:

9 scoops

Step-by-step explanation:

3 scoops = 45g

3/45 scoops = 1g

3/45*135 scoops = 135g = 9 scoops

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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IfIf a 4,800-pound wrecking ball is held in static equilibrium by two cables, one horizontal and one at an angle of 40° from vertical .the magnitudes of the tension vectors T  and H is: 6,266.32 lb,  3,085.44lb.

Let T h = H represent the horizontal

Let Tv  represent the vertical components of the vector T

Let W wball represent the weight of the wrecking ball

Hence,

T h =H

Tv = W wball

Where:

T h = T sin 40°

Tv =T cos 40°

Magnitude of the tension vector T:

Tv =4800lb

T=Tv/ cos 40°

T = 4800lb/ cos 40°

T = 4800lb/0.766

T= 6,266.318

T=6,266.32 lb (Approximately)

Magnitude of the tension vector H

W=T  h

T h =(4800lb) sin 40°

T h =(4800lb) 0.6428

H = 3,085.44lb

Therefore we can conclude that tension vector T magnitudes is 6,266.32lb and that of tension vector H magnitudes is 3,085.44lb.

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The ratio of adults to children that came into the restaurant is 5:2. This means that for every 5 adults, there were 2 children who came into the restaurant.

To find the ratio of adults to children that came into the restaurant, we need to divide the number of adults by the number of children.

According to the given information, 12 children and 30 adults came into the restaurant over an hour.

Ratio = Number of Adults / Number of Children

Ratio = 30 adults / 12 children

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 30 and 12 is 6.

Ratio = (30 / 6) adults / (12 / 6) children

Ratio = 5 adults / 2 children

So, the ratio of adults to children that came into the restaurant is 5:2.

This means that for every 5 adults, there were 2 children who came into the restaurant.

In conclusion, the ratio of adults to children that came into the restaurant is 5:2.

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Answer: 0.65 + 0.78s

Step-by-step explanation:

From the question, we are informed that Ray wants to buy a hat that costs $10 and some shirts that cost $12 each and that the sales tax rate is 6.5%.

We are further told that the expression 0.065(10+12s) can be used to calculate the amount of sales tax that Ray will pay on his entire purchase.

Therefore, expanding the expression will give:

= 0.065(10+12s)

= (0.065 × 10) + (0.065 × 12s)

= 0.65 + 0.78s

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

\(3x^2+16x+5\)

\(\frac{3x^2}{3}+16x+5(3)\)

\(x^2+16x+15\)

\((x+1)(x+15)\)

\((3*x+1)(x+\frac{15}{3})\)

\((3x+1)(x+5)\)

Answer:

\( {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you\)

Answer: $1,116.19

Step-by-step explanation:

If you invested $243 and this increased to $1,359.19 in two years, the difference between your investment and its current worth is the interest:

= Current principal - Initial principal

= 1,359.19 - 243

= $1,116.19

The expression √75x³y in radical form is 5x√(3xy).

The given expression is √75x³y

Square root of seventy five times of x cube times of y

We have to write in radical form

We can simplify √75x³y as follows:

√75x³y

= √(25×3×x²×x×y)

= 5x√(3xy)

Therefore, the expression √75x³y in radical form is 5x√(3xy).

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Answer:

The difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.

Step-by-step explanation:

To determine if the difference in the number of patients reporting reduced pain is statistically significant, we can use a hypothesis test.

The null hypothesis is that there is no difference between the two treatments in terms of the proportion of patients who report reduced pain after half an hour. The alternative hypothesis is that there is a difference between the two treatments.

We can use a two-sample proportion test to compare the proportions of patients reporting reduced pain in the two groups.

The test statistic is calculated as:

z = (p1 - p2) / sqrt(\(\sqrt{(p_hat * (1 - p_hat) / n1) + (p_hat * (1 - p_hat) / n2)}\))

where p1 and p2 are the proportions of patients in the two groups reporting reduced pain, p_ hat is the pooled proportion (calculated as the total number of patients reporting reduced pain divided by the total number of patients), and n1 and n2 are the sample sizes.

In this case, we have:

p1 = 50/65 = 0.769

p2 = 40/60 = 0.667

p_ hat = (50 + 40) / (65 + 60) = 0.672

n1 = 65

n2 = 60

Substituting these values into the formula, we get:

z = (0.769 - 0.667) / sqrt((0.672 * (1 - 0.672) / 65) + (0.672 * (1 - 0.672) / 60))

= 1.412

Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-value of 1.412 or greater, assuming the null hypothesis is true. This is the p-value of the test.

The p-value turns out to be approximately 0.078, which is greater than the commonly used significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis and we cannot conclude that the difference in the number of patients reporting reduced pain is statistically significant.

Therefore, the difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.

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The polynomial 25x² + 36y²  is the sum of the squares.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, 25x² + 36y² which can be written as,

= 5²x² + 6²y².

= (5x)² + (6y)² it is the sum of the squares, The difference of squares would be (5x)² - (6y)².

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