Not everyone pays the same price for the same model of a car.

Answer:

90 minutes or 1 hour 30 minutes

Step-by-step explanation:

Time taken to fill t is inversely proportional to number of pipes. We can express this as t ∝ \(\frac{1}{n}\) where n is the number of pipes

We can also write this as t = \(\frac{k}{n}\) where k is a constant

Using the data given 80 = \(\frac{k}{8}\)    (1)

For 6 pipes, if the time taken is T then  

\(T = \frac{k}{6}\)      (2)

Dividing (2) by (1) gives

\(\frac{T}{80} = \frac{k}{6}\) ÷ \(\frac{k}{8}\)

\(\frac{k}{6}\) ÷ \(\frac{k}{8} = \frac{k}{6} \frac{8}{k} = \frac{8}{6}\\\\\)

So  

\(\frac{T}{80} = \frac{8}{6}\\\\\)

T = \(80 \frac{8}{6}\)  (multiplying both sides by 80

And this computes to 90 minutes or 1 hour 30 minutes

The squares of 8/9, 5/7, 10/9, 1/2, 5/4, and 9/5 are 64/81, 25/49, 100/81, 1/4, 25/16, and 81/25 after solving the fractions.

Applying simple multiplication rule to each of the given fractions, we get:

(8/9) x (8/9) = 64/81

(5/7) x (5/7) = 25/49

(10/9) x (10/9) = 100/81

(1/2) x (1/2) = 1/4

(5/4) x (5/4) = 25/16

(9/5) x (9/5) = 81/25

The laws of exponents, also known as the rules of exponents, are a set of rules that govern the behavior of exponents in algebra. These laws apply to numbers raised to a power, or exponent, and are useful in simplifying expressions and solving equations.

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The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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The number 0.14 is bigger than 0.135.

To compare the two numbers, you can look at their digits after the decimal point. In both numbers, the digit in the tenths place is 1. The next digit in 0.14 is 4, which is greater than the corresponding digit in 0.135, which is 3.

Since the digit in the hundredths place (4) is greater than the digit in the hundredths place (3), the number 0.14 is bigger than 0.135.

In summary, the order of the numbers from smallest to largest is:

0.135 < 0.14.

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Answer:

-20x

Step-by-step explanation:

Let the number be x.

The product of -4 and this number is -4x.

5 times this is 5(-4x), which simplfiies to -20x.

The landing space per step is 14 inches while the vertical rise is 13 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

From the question:

Angle of elevation = 41°

Let d represent the landing space per step, hence using trigonometric ratio:

tan(41) = 12 inches / d

d = 14 inches

Also, let h represent the vertical rise, hence:

tan(41) = h / 15 feet

h = 13 feet

The landing space per step is 14 inches while the vertical rise is 13 feet.

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Answer:

AB = 28 , BC = 17.5 , X = 13.2

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{AB}{PQ}\) = \(\frac{AD}{PS}\) ( substitute values )

\(\frac{AB}{8}\) = \(\frac{14}{4}\) ( cross- multiply )

4 AB = 8 × 14 = 112 ( divide both sides by 4 )

AB = 28

and

\(\frac{BC}{QR}\) = \(\frac{AD}{PS}\) ( substitute values )

\(\frac{BC}{5}\) = \(\frac{14}{4}\) ( cross- multiply )

4 BC = 5 × 14 = 70 ( divide both sides by 4 )

BC = 17.5

similarly for the 2 similar figures

\(\frac{x}{6}\) = \(\frac{11}{5}\) ( cross- multiply )

5x = 6 × 11 = 66 ( divide both sides by 5 )

x = 13.2

Answer:

\(\overline{AB}=28\)

\(\overline{BC}=17.5\)

\(x=13.2\)

Step-by-step explanation:

If quadrilateral PQRS is similar to quadrilateral ABCD, their corresponding sides are in the same ratio:

\(\overline{PQ} : \overline{AB} = \overline{QR} : \overline{BC} = \overline{RS} : \overline{CD} = \overline{SP}:\overline{DA}\)

From inspection of the two quadrilaterals, the given side lengths are:

\(\overline{PQ} = 8\)

\(\overline{QR} = 5\)

\(\overline{RS} = 6\)

\(\overline{SP} = 4\)

\(\overline{DA} = 14\)

Substitute these into the ratio equation:

\(8 : \overline{AB} = 5 : \overline{BC} = 6 : \overline{CD} = 4:14\)

Solve for AB:

\(8 : \overline{AB} = 4:14\)

   \(\dfrac{8}{\overline{AB}}= \dfrac{4}{14}\)

 \(8 \cdot 14=4 \cdot{\overline{AB}}\)

   \(\overline{AB}=\dfrac{8 \cdot 14}{4}\)

  \(\boxed{\overline{AB}=28}\)

Solve for BC:

\(5 : \overline{BC} = 4:14\)

  \(5 \cdot 14=4 \cdot \overline{BC}\)

    \(\overline{BC}=\dfrac{5 \cdot 14}{4}\)

   \(\boxed{\overline{BC}=17.5}\)

\(\hrulefill\)

Assuming the two figures are similar, their corresponding sides are in the same ratio. Therefore:

\(x:6=11:5\)

   \(\dfrac{x}{6}=\dfrac{11}{5}\)

   \(x=\dfrac{11 \cdot 6}{5}\)

   \(x=\dfrac{66}{5}\)

  \(\boxed{x=13.2}\)

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

The equation of the relationship between A and B is 3A = 8B

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

A= 8, 24, 40

B= 3, 9, 15

Calculate the constant of proportion using

constant = B/A

Substitute the known values in the above equation, so, we have the following representation

constant = 3/8

Substitute constant = 3/8 in constant = B/A

3/8 = B/A

So, we have

3A = 8B

Hence, the equation is 3A = 8B

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Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

The data given is  

    235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500

  The sample size is  n =  16

   The population is  \(\mu  =  \$201,800\)

  The sample mean is mathematically represented as

             \(\= x =\frac{\sum x_i}{n}\)

=>  \(\= x  =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}\)

=>    \(\= x  = 218653.125\)

Generally the sample standard deviation is mathematically represented as

     \(s =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }\)

=>   \(s =  \sqrt{\frac{ (235,000 -  218653.125)^2+ (271,900 -  218653.125)^2 + \cdots +  (245,500 -  218653.125)^2}{16} }\)

=>   \(s =  23946.896 \)

The null hypothesis is  \(H_o : \mu =  \$201,800\)

The alternatively hypothesis is  \(H_o : \mu >  \$201,800 \)

Generally the test statistics is mathematically represented as

     \(t =  \frac{\= x  - \mu }{ \frac{s}{\sqrt{n} } }\)

=>  \(t =  \frac{218653.125  - 201800 }{ \frac{23946.896 }{\sqrt{16} } }\)

=>  \(t =  2.82\)

Generally the degree of freedom is mathematically represented as

     \(df =  n - 1\)

=>   \(df =  16 - 1\)

=>   \(df =  15\)

Generally the probability of  \(t =  2.82\) at a degree of freedom of  \(df =  15\) from the t - distribution table  is  

     \(p-value  = P( t >2.82 ) =0.00646356\)

The

From the values obtained we see that \(p-value  < \alpha\)

The decision rule is  

   Reject the null hypothesis

The conclusion is

 There is sufficient evidence to conclude that the real estate company's  projection is true

Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution

Type I  Error

 The type 1 error occur when the null hypothesis is wrongfully rejected

  The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still  $201,800

   Type II  Error

 The  type 11 error occur when the null hypothesis is wrongfully  accepted(i.e wrongfully failed to reject the null hypothesis)

    The consequence in this case is that the company will assume that the average selling price  is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased

   Given that resource is scare the management of the company will want a  smaller  significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources

generally the critical value  of  \(\frac{\alpha }{2}\) from the normal distribution table is    

     \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

   \(E  =Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }\)

=>\(E  =1.96*  \frac{23946.896}{\sqrt{16} }\)

=>\(E  = 11733.96\)

Generally the 95% confidence interval is  mathematically represented as

     \(218653.125 - 11733.96  < \mu  <  218653.125 + 11733.96\)

=>  \(206919.165  < \mu  <  230387.085\)  

Generally there is 95% confidence that the actual average selling price is within this interval  

Step-by-step explanation:

The area of the plant beds should be 280 square meters.

What is an area?

An area is a two-dimensional space or region within a defined boundary. It can refer to the size of a flat surface, such as the floor of a room or the surface of a table. In mathematics, the area of a shape is a measurement of the amount of space inside the boundary of the shape.

Let A be the area of the plant beds in square meters.

Since the area available for the garden is 210 square meters and the area of the plant beds should be 1 1/3 times this amount, we can write:

A = (4/3) * 210

Simplifying, we get:

A = 280

Therefore, the area of the plant beds should be 280 square meters.

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Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

B: 9

Step-by-step explanation:

We know

Caleb took 24 photos at the zoo. 3/8 of his photos are of giraffes.

How many of Caleb’s photos are of giraffes?

We Take

24 x 3/8 = 9 photos

So, 9 of Caleb's photos are of giraffes.

Answer:

The 98% confidence interval for population variance is (4.13, 14.59) and for population standard deviation is (2.03, 3.82).

Step-by-step explanation:

To construct the confidence interval for the population variance, we use the chi-squared distribution. The formula for the confidence interval is:

[ (n - 1) * s^2 / chi2(a/2,n-1), (n - 1) * s^2 / chi2(1 - a/2,n-1) ]

where a is the level of significance, n is the sample size, s^2 is the sample variance, and chi2 is the chi-squared distribution function.

Substituting the given values, we get:

[ (26 - 1) * 7.29 / chi2(0.01, 25), (26 - 1) * 7.29 / chi2(0.99, 25) ]

Using a chi-squared table or a calculator, we can find the critical values for the chi-squared distribution:

chi2(0.01, 25) = 9.143

chi2(0.99, 25) = 43.773

Substituting these values, we get:

[ 174.474, 33.573 ]

Therefore, with 98% confidence, the population variance lies between 174.474 and 33.573.

To construct the confidence interval for the population standard deviation, we take the square root of the endpoints of the interval for the population variance. Therefore, we get:

[ sqrt(174.474), sqrt(33.573) ]

= [ 13.202, 5.793 ]

Therefore, with 98% confidence, the population standard deviation lies between 13.202 and 5.793.

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Answer:

Derided means to mock/scorn/express contempt for.

Step-by-step explanation:

it means that the monster is kind of blinded by his excessive pride of himself.

Answer:

E

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

8 white balloons

56 balloons in total

8:56 = 1:7

Simplifying

10x + -8 = ax + b

Reorder the terms:

-8 + 10x = ax + b

Solving

-8 + 10x = ax + b

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1ax' to each side of the equation.

-8 + -1ax + 10x = ax + -1ax + b

Combine like terms: ax + -1ax = 0

-8 + -1ax + 10x = 0 + b

-8 + -1ax + 10x = b

Add '8' to each side of the equation.

-8 + -1ax + 8 + 10x = 8 + b

Reorder the terms:

-8 + 8 + -1ax + 10x = 8 + b

Combine like terms: -8 + 8 = 0

0 + -1ax + 10x = 8 + b

-1ax + 10x = 8 + b

Reorder the terms:

-8 + -1ax + -1b + 10x = 8 + b + -8 + -1b

Reorder the terms:

-8 + -1ax + -1b + 10x = 8 + -8 + b + -1b

Combine like terms: 8 + -8 = 0

-8 + -1ax + -1b + 10x = 0 + b + -1b

-8 + -1ax + -1b + 10x = b + -1b

Combine like terms: b + -1b = 0

-8 + -1ax + -1b + 10x = 0

The solution to this equation could not be determined.

Answer:

a = 10 and b = 8

Step-by-step explanation:

comparing the two equations

Answer:

there is no attachments but   The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Step-by-step explanation:

Answer:

It is 18 because if you look at the side the small one says 3 the big one says 6 so if you multiply the 9 square feet by 2 thats your answer

Answer:

A=36

Step-by-step explanation:

Hi love ,

so we now that the are of a triangle is : 1/2bh

the smaller triangle shows that : 9 = 1/2b*3

so b =6

and if the 3 became 6 then 6 will become 12

base of the smaller triangle = 6

base of the larger triangle = 12

Area of Larger triangle = 1/2 * 12*6

= 1/2*72 = 36

A=36

Answer:

?

Step-by-step explanation:

The formula for the centripetal force, as a function of the radius, is given as follows:

F = 896/r.

The equation that defines a direct proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse proportional relationship, the equation is given as follows:

y = k/x.

The centripetal force varies inversely with the radius, hence the equation is given as follows:

F = k/r.

When F = 56, r = 16, hence the constant k is obtained as follows:

56 = k/16

k = 56 x 16

k = 896.

Hence the equation is given as follows:

F = 896/r.

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Answer:

from B we get y = -2x + 2

part c: slope, m =-2 and b=2

Step-by-step explanation:

Answer: 43 c

Step-by-step explanation: adding and multiplecation

Answer:

193.08

Step-by-step explanation:

Your Welcome :D

Can i have brainlest

Answer:

193.08

Step-by-step explanation:

The value of x in equation 2x + 3y = 5 is [-3y + 5]/2

In order to solve an equation, we need to add or subtract from both sides of an equation, or we can multiply or divide with the same number on both sides of the equation.      

We must keep in mind that the equation's condition is unaffected by addition, subtraction, multiplication, or division with the same integer on both sides of an equation.

Given equation is

2x + 3y = 5  

We can solve the above equation as given below

2x + 3y = 5  

Add -3y on both sides

=> 2x + 3y +(-3y) = 5 + (-3y)

=> 2x + 3y - 3y  = 5 - 3y

=> 2x = 5 - 3y

Divide the above equation by 2 on both sides

=> 2x/2 = [5 - 3y]/2

=>  x = [5 - 3y]/2

Therefore,

The value of x in equation 2x + 3y = 5 is [-3y + 5]/2

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Given that each wall is 12 feet long, the perimeter would be: Perimeter = 4 x Length of one side, Perimeter = 4 x 12 feet and Perimeter = 48 feet.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length

The volume of the cardboard box can be calculated by multiplying its length, width, and height. Given that the length is 12 inches, the width is 10 inches, and the height is 4 inches, the volume would be:

Volume = Length x Width x Height

Volume = 12 inches x 10 inches x 4 inches

Volume = 480 cubic inches

So, the volume of the cardboard box is 480 cubic inches.

The length of edging required to go around a circular fountain can be calculated using the formula for circumference of a circle. The diameter of the fountain is given as 6 feet, which means the radius would be half of that, i.e., 3 feet. The circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 3 feet

Circumference = 18.84 feet

So, the length of edging required to go around the circular fountain would be 18.84 feet.

The amount of lace trim required for a circular tablecloth with a radius of 1 meter can be calculated using the formula for circumference of a circle. The radius of the tablecloth is given as 1 meter, and the circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 1 meter

Circumference = 6.28 meters

So, the amount of lace trim required for the circular tablecloth would be 6.28 meters.

The length of crown molding needed for a square room, where each wall is 12 feet, would be equal to the perimeter of the square room. The perimeter of a square is calculated by multiplying the length of one side by 4. Given that each wall is 12 feet long, the perimeter would be:

Perimeter = 4 x Length of one side

Perimeter = 4 x 12 feet

Perimeter = 48 feet.

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