Mathematics also made the pyramids possible. Look at the
following site about the pyramids and research other sites as
needed. Write a brief essay about how mathematics was used to build
these impress

Answers

Answer 1

Mathematics was used in many ways to build the pyramids. The Egyptians used mathematics to calculate the size and shape of the pyramids, to determine the angle of the sides, and to ensure that the pyramids were aligned with the stars.

The pyramids are some of the most impressive feats of engineering in the world. They are massive structures that were built with incredible precision.

The Egyptians used a variety of mathematical techniques to build the pyramids, including:

Geometry: The Egyptians used geometry to calculate the size and shape of the pyramids. They used the Pythagorean theorem to determine the length of the diagonal sides of the pyramids, and they used trigonometry to calculate the angle of the sides.Algebra: The Egyptians used algebra to solve for unknown quantities. For example, they used algebra to solve for the volume of the pyramids.Astronomy: The Egyptians used astronomy to align the pyramids with the stars. They believed that the pyramids were a way to connect with the gods, and they wanted to ensure that the pyramids were aligned with the stars so that the gods would be able to find them.

The Egyptians were also very skilled in practical mathematics. They used mathematics to measure distances, to calculate the amount of materials needed to build the pyramids, and to manage the workforce.

The use of mathematics in the construction of the pyramids is a testament to the ingenuity and skill of the ancient Egyptians. The pyramids are a lasting legacy of the Egyptians' mastery of mathematics.

Here are some additional details about how mathematics was used to build the pyramids:

The Egyptians used a unit of measurement called the cubit to measure the size of the pyramids. A cubit is the length from the elbow to the tip of the middle finger, and it is approximately 52.5 centimeters long.The Egyptians used a technique called the seked to determine the angle of the sides of the pyramids. The seked is the rise over run, and it is a measure of the slope of the pyramid.The Egyptians used a star called Alpha Draconis to align the pyramids with the stars. Alpha Draconis is a star that is located in the constellation Draco, and it is one of the brightest stars in the night sky.The use of mathematics in the construction of the pyramids is a remarkable achievement. The pyramids are a testament to the ingenuity and skill of the ancient Egyptians, and they continue to inspire and amaze people today.

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Related Questions

please help geometry

please help geometry

Answers

Answer:

Below

Step-by-step explanation:

Remember in a RIGHT triangle ,  cos = adj leg /  hypotenuse

for this one then

cos (37) = 11/x       re-arrange to

x = 11/cos 37

x = 11/ .7986 = 13.8 units

Answer:

  13.77

Step-by-step explanation:

You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.

Cosine

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(37°) = 11/x

Solving for x, we find ...

  x = 11/cos(37°) ≈ 13.77

The measure of side x is 13.77 units.

please help geometry

Rose used the following compatible numbers to estimate how much she spent per person on gifts. What is her quotient?



A. $23
B. $22
C. $21
D. $20

Answers

The estimated quotient is $20, which corresponds to option D in the given choices. Thus, Rose estimated that she spent $20 per person on gifts.

What is compatible numbers?

Compatible numbers are numbers that are close in value and can be easily divided or multiplied mentally. These numbers are used to make estimation in mathematical calculations easier and quicker. By rounding numbers to compatible numbers, calculations become simpler, and  errors are minimized.

For example, if you need to divide 26 by 5, you can use compatible numbers by rounding 26 to 25 and 5 to 4. Then, you can easily divide 25 by 4 to get an estimate of the quotient as 6.25. Compatible numbers can also be used in multiplication, addition, and subtraction.

Using compatible numbers is particularly helpful when performing mental calculations or when there is no calculator available.

To estimate the quotient of 420 divided by 21 using compatible numbers, we can round 420 to 400 and 21 to 20. Then, we can divide 400 by 20 to get an estimate of the quotient:

420 ≈ 400

21 ≈ 20

400 ÷ 20 = 20

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Write an inequality for the sentence: A number b is greater than 7

Answers

Answer:

B > 7

Step-by-step explanation:

Is your inequality

Im gonna have to know what b stands for

use green's theorem to evaluate the line integral along the given positively oriented curve. c cos(y) dx x2 sin(y) dy c is the rectangle with vertices (0, 0), (3, 0), (3, 1), (0, 1)

Answers

30(1-cos2) is the evaluated line integral along the given positively oriented curve.

What is Green's Theorem?

Green's theorem is mostly utilized to evaluate the line integral of a single direction and a curved plane. The link between a line integral and a surface integral is demonstrated by this theorem. It is connected to several theorems, including the Gauss theorem and the Stokes theorem.

To integrate the derivatives in a certain plane, one uses Green's theorem. This thesis can be employed to transform a given line integral into a surface integral, double integral, or conversely.

One of the four calculus foundational theorems, all 4 of whom are intimately connected to one another, is the Green's theorem.

How to solve?

By Green's theorem, we have

∫c (cist dx + x² siny dy ) = ∫∫r [μ(x²siny)/μx - μcosy/μy dxdy

where C is the *boundary* of the rectangle .

The integral is then

=(cos0 -cos2)∫(5,5)(2x +1)dx

=(1-cos2)(5²+5)

=30(1-cos2)

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A number with 100 digits is given. the first two digits of that number are 2 and 9 . how many digits has a square of that number?

Answers

The square of the given number will have 199 digits.

How to find the number digits in the square of the given number?

A number with hundred digits is given.

The first two digits of the given number are 2 and 9.

We can use the following formula to find the total number of digits in the square of a number.

2n - 1

Where n is the total number of digits in the given number.

Let us take a number with 2 digits:

29*29 = 841     { 2*2 - 1 = 3}

We can see that the square of the 2-digit number has 3 digits in it.

Let us take a number with 3 digits:

299*299 = 89401     { 2*3 - 1 = 5}

We can see that the square of the 3-digit number has 5 digits in it.

Similarly, we can find the number of digits in the square of a 100-digit as shown below:

2n - 1 = 2*100 - 1

= 200 - 1

= 199

Therefore, we have found that the square of the given number will have 199 digits.

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TWO MORE PLEASEEEEEEEEE
Write an equation and solve. a. The length of a rectangle is 4 more than the width. If the perimeter of the rectangle is 104 in, find the dimensions.
b. Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
I WILL MARK BRAINLIESTTTTTTTT

Answers

Answer:

A. length = 4w

 4w + 4w + w + w is both length and both width

w = 10 2/5

B.

Day one = P

Day 2 = 2P

Day 3 = P - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

W+4=L ( length is 4 more than width)

perimeter= 2w+2L

104=2w+2(w+4)

104=2w+2w+8

104-8=4w

4w=96

width=96/4=24length=w+4=24+4=28

b-day one =x

day two=2x

day 3 = x-6

x+2x+x-6=458

4x=458+6

4x=464

x=464/4

x=116

day 1=116

day2=232

day 3: 116-6=110

If you had money in a savings account earning 9% interest per year, how much would you make in interest on a deposit of $60.00 over two years?

Answers

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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A rectangular garden has a walkway around it. The area of the garden is 4​(6.5x+3.5​). The combined area of the garden and the walkway is 5.5​(8x+6​). Find the area of the walkway around the garden as the sum of two terms.

Answers

Answer:The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

Build a formula in cell E5 to multiply cell D5 by 105 and press Enter to copy the formula. A. =D5105 B. =105D5 C. =D5+105 D. =105-D5

Answers

The correct formula to multiply cell D5 by 105 and copy it to cell E5 would be A. =D5*105.

What is multiplication?

Calculating the sum of two or more numbers is the process of multiplication. 'A' multiplied by 'B' is how you express the multiplication of two numbers, let's say 'a' and 'b'. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number.

The formula =D5*105 is the correct formula to multiply the value in cell D5 by 105 and display the result in cell E5.

Let's break down the formula:

- D5: This refers to the value in cell D5, which is the number you want to multiply.

- *: This is the multiplication operator, used to multiply the value in D5.

- 105: This is the number you want to multiply cell D5 by.

So, when you enter the formula =D5*105 in cell E5, it will take the value in cell D5, multiply it by 105, and display the result in cell E5. If the value in cell D5 is, for example, 10, the formula will calculate 10 * 105 = 1050 and display the result 1050 in cell E5.

By copying the formula from cell E5 to other cells, it will adjust the cell references accordingly. For example, if you copy the formula to cell E6, it will update to =D6*105, multiplying the value in D6 by 105. This makes it easier to apply the same formula to multiple cells without having to rewrite it manually.

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Line segment PQ is the result of reflecting line segment AB across the x-axis.P has coordinates of (2,-2) and Q has coordinates (8,-2). What’s is the length of line segment AB.

Answers

The length of the line segment AB such that PQ is the reflection of AB will be 6 units.

What is a line segment?

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

If we reflect any curve about the x-axis then only the y coordinate changes its sign (x,y) → (x,-y).

Given PQ is a reflection of AB and P(2,-2) and Q (8,-2)

Therefore, A(2,2) and B(8,2).

The length of AB will be,

AB = √(8 - 2)² + (2-2)² = 6

Hence "The length of the line segment AB such that PQ is the reflection of AB will be 6 units".

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Line segment tv bisects angle stu. the measurement of angle stv is equal to (1/4x+8) degrees and the measurement of angle utv is (x+2) degrees. find the measurement of angle stu

Answers

The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

The arms of the angle: The arms of the angle are the two rays that combine to form it at a common point.Point of the angle: The two rays share a vertex as a common terminus.

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS

IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS

Answers

Answer:

what is l and multiply l by 4 my guy

Step-by-step explanation:

Answer:

x = 25

<HKL  = 102

Step-by-step explanation:

<LKH + <HKJ = 180 since the two angles form a straight line

<LKH + <HKJ = 180

4x+2 + 78 = 180

Combine like terms

4x+80 =180

Subtract 80 from each side

4x+80-80=180-80

4x= 100

Divide by 4

4x/4 = 100/4

x = 25

<LKH  = 4x+2 = 4*25 +2 = 100+2 = 102

What is the measure of arc EAB in circle F?

What is the measure of arc EAB in circle F?

Answers

Answer: Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

That’s what I think, sorry if it’s not correct

DOMAIN AND RANGE FOR BOTH OF TGOSE FUNCTIONS!!! PLEASE HELP IMMEDIATELY!!! WILL MARK BRAINLIEST AND GIVE EXTRA POINTS!! PLEASE HELP!!!

DOMAIN AND RANGE FOR BOTH OF TGOSE FUNCTIONS!!! PLEASE HELP IMMEDIATELY!!! WILL MARK BRAINLIEST AND GIVE

Answers

Answer: So think of x to y cordinents. You have reguler numbers and negitive numbers where would you but the regulear numbers? and where would you put the negitve numbers? So what is range? Range is yo subtracting the largeest number form the littlest number.

Step-by-step explanation:

Which graph shows data that would result in the most accurate prediction of the number of games a baseball team will win in a season based on the total number of home runs scored that season?
A graph has home runs on the x-axis and wins on the y-axis. Points are grouped together in a line and increase.
A graph has home runs on the x-axis and wins on the y-axis. Points are grouped together loosely and increase.
A graph has home runs on the x-axis and wins on the y-axis. Points are grouped together and increase.

Answers

Any graph that can be used to accurately predict number of games a baseball team will win in a season based on the total number of home runs scored that season will be a graph that has home runs on the x-axis and wins on the y-axis.

Straight line graph

A straight line graph is a graph that obeys the equation; y = mx + c

m = slopec = intercept

For there to be the possibility of prediction, the graph must increase or decrease linearly.

Therefore, any graph that can be used to accurately predict number of games a baseball team will win in a season based on the total number of home runs scored that season will be a graph that has home runs on the x-axis and wins on the y-axis. Points are grouped together in a line and increase.

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Answer:

The answer is A!!

Step-by-step explanation:

Which graph shows data that would result in the most accurate prediction of the number of games a baseball

Question, if 1 = 10, 2 = 12, 3 = 14, and 4 = 16, what would 5 equal?

Answers

Answer:

5=18

Step-by-step explanation:

they are counting by 2s      10,12,14,16,18

Hope this helps!

Answer:

18

Step-by-step explanation:

It seems like for this pattern, as the x-value(base value) increases, the corresponding y-value(value changing with the base value) increases by 2 given that the function starts with a y-intercept of 8. So at the value 0, the corresponding number would be 8. So in this case, by creating a function regrading this information we can solve for the corresoponding value of 5: y = 2x + 8

y = 2 * 5 + 8

y = 10 + 8

y = 18

5 = 18

Another way to approach this is just by following the pattern given to us in the description. We see that the pattern starts at 10, and increases by 2 for each increasing base value. Therefore, if 4 = 16, then 16 + 2 = 5, so 5 = 18.

please help. i need this done today

please help. i need this done today

Answers

Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

Someone plz help me !!!

Someone plz help me !!!

Answers

Answer:

not a sloution

Step-by-step explanation:

93÷6 is 15.5 not 15 w=15.5

PLZZ HELP The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a composite number) a. StartFraction 5 Over 8 EndFraction c. Two-thirds b. One-half d. StartFraction 3 Over 8 EndFraction

Answers

Answer:

3/8

Step-by-step explanation

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. So 4,6,and 8 would be composite numbers. There's 8 numbers in total so 3/8.

The theoretical probability of the given event with one spin would be,

⇒ P(a composite number) =  3/ 8

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

The spinner is used in a game.

Here, There are three (4, 6, 8) composite number.

And, Total numbers = 8

Hence, The theoretical probability of the given event with one spin would be,

⇒ P(a composite number) =  3/ 8

Thus, The theoretical probability of the given event with one spin would be,

⇒ P(a composite number) =  3/ 8

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PLZZ HELP The spinner above is used in a game. What is the theoretical probability of the given event

Seven friends plan to make 7 sandwiches. They have 3 loaves of bread that they will divide equally. How much bread will be used for one sandwich?​

Answers

If the seven friends plan to make 7 sandwiches, then each friend will make one sandwich. Since they have 3 loaves of bread to divide equally, each friend will get 3/7 loaves of bread.

To find out how much bread will be used for one sandwich, we need to divide the amount of bread by the number of sandwiches. So we can write:

Amount of bread for one sandwich = (Amount of bread) / (Number of sandwiches)

Plugging in the values, we get:

Amount of bread for one sandwich = (3/7 loaves) / (7 sandwiches)

Simplifying the expression, we get:

Amount of bread for one sandwich = 3/49 loaves

So each sandwich will use 3/49 loaves of bread.

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Answers

Answer:

y = -2/3x + 8/3a

Step-by-step explanation:

Given points

(a, 2a) and (-5a, 6a)

Slope-intercept form

y = mx + b

Slope of the line is

m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

The y-intercept is:

2a = -2/3*a + bb = 2a + 2/3ab= 8/3a

So the line is:

y = -2/3x + 8/3a

Answer:

y = -2/3 - 8/3a

Step-by-step explanation:

Find the slope using [ y2-y1/x2-x1 ]

6a-2a/-5a-a

4a/-6a

-2/3

Find the y-intercept.

y = mx + b

y = -2/3x + b

2a = -2/3(a) + b

-8/3a = b

y = -2/3 - 8/3a

Best of Luck!

22. Dante rides his bicycle due west at 10 miles per hour. Annie rides her bicycle due north
at 12.5 miles per hour. If they both leave Annie's house at the same time, approximately
how far apart, in miles, are they after 4 hours?
A
16
B.
23
C. 64
D. 90

Answers

C in my opinion
#CarryOnLearning

find the area enclosed by the x-axis and the curve x = 1 et, y = t − t2.

Answers

The area enclosed by the x-axis and the curve defined by x = 1 et and y = t - t² can be found using calculus. The enclosed area is approximately 1.5 square units.

To determine the area, we need to integrate the curve between the points where it intersects the x-axis. The curve intersects the x-axis when y = 0. So we set t - t² = 0 and solve for t, which gives us t = 0 or t = 1.
Next, we need to calculate the integral of the absolute value of the curve between the points of intersection with the x-axis. This is done by integrating |y| with respect to x over the range from x = 0 to x = 1.To perform the integration, we substitute the given expressions for x and y into the integral. The integral evaluates to 1.5, which gives us the enclosed area.
Therefore, the area enclosed by the x-axis and the curve is approximately 1.5 square units.

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how do I find the Domain and Range for:f(x)=(x-2)^2 -2

Answers

Domain: the set of all possible x values of the function.

Since there are no radicals and denominators, the domain of the function is all the real numbers.

Domain= all real numbers

Range = the set of all possible y values of the function

Range= (-2; ∞)

Graph of the function:

how do I find the Domain and Range for:f(x)=(x-2)^2 -2

Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?

Answers

Answer: The students can be divided into 7 groups.

Each group will have 3 boys and 8 girls.

Step-by-step explanation:

There are 21 boys and 56 girls.

To divide them so that each group has the same number of both boys and girls.

We find GCD(21,56).

21 = 3 x 7

56 = 2 x 2 x 2 x 7

GCD (21,56) = 7

So, the students can be divided into 7 groups.

Number of girls in each group = \(\dfrac{56}{7}=8\)

Number of boys in each group = \(\dfrac{21}{7}=3\)

So, each group will have 3 boys and 8 girls.

please help this worth half ny grade​

please help this worth half ny grade

Answers

Answer:

see image

Step-by-step explanation:

See attached image

please help this worth half ny grade

use the equation q = f(x) − f(a) x − a to find the slope of the secant line between the values x1 and x2 for the function y = f(x). f(x) = 2x 2; x1 = 4, x2 = 7

Answers

Therefore, the slope of the secant line between x1 = 4 and \(x^2 = 7\) for the function \(f(x) = 2x^2\) is 22.

We have the function \(f(x) = 2x^2\) and the values x1 = 4 and x2 = 7.

We can use the formula for the slope of the secant line between x1 and x2:

slope \(= \frac{(f(x_2) - f(x_1))}{(x_2 - x_1)}\)

First, we need to find f(x1) and f(x2):

\(f(x1) = 2x_1^2 = 2(4)^2 = 32\\f(x2) = 2x_2^2 = 2(7)^2 = 98\)

Substituting these values into the formula, we get:

\(slope = \frac{(98 - 32) }{(7 - 4)} = \frac{66}{3} = 22\)

The slope of a secant line is a measure of how steeply a curve is rising or falling between two points.

It is the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between two points on the curve.

Given two points (x1, y1) and (x2, y2) on a curve, the slope of the secant line between them is given by the formula:

\(slope = \frac{(y_2 - y_1)}{(x_2 - x_1)}\)

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two circles $a$ and $b$ with centers $p$ and $q$, respectively, are externally tangent to each other. the power of point $p$ with respect to circle $b$ is $8$. the power of point $q$ with respect to circle $a$ is $15$. what is the ratio of the areas of circle $a$ and circle $b$?

Answers

The power of point P with respect to circle B is 8, while the power of point Q with respect to circle A is 15.  The ratio of the areas of circle A to circle B = 4/25.

We have circle A and circle B with centers P and Q respectively.

Let:

a = radius of circle A

b = radius of circle B

The power of point P with respect to circle B means BP² - b²

BP = a + b

Hence,

(a + b)² - b² = 8

a² + 2ab + b² - b² = 8

a² + 2ab = 8  ........... (equation 1)

Similarly, the power of point Q with respect to circle A means:

(a + b)² - a² = 15

b² + 2ab = 15  ...... (equation 2)

Multiply equation 1 by (-15) and multiply equation 2 by 8, the add those equations:

- 15a² - 30ab = -120

  8b² + 16ab = 120 +

- 15a² - 14 ab + 8b²  = 0

Divide by  b²  and define x = a/b

-15x² - 14x + 8 = 0

The positive solution is: x = 2/5

The ratio of radii b/a = x = 2/5

The ration of area:

area of circle A/ area of circle B = (2/5)² = 4/25

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Can Someone help me because i can't do it........

Can Someone help me because i can't do it........

Answers

Answer:

A and C

Step-by-step explanation:

the amount of sheeps + the amount of goats will equal at most 26

and

there are no more than 14 sheeps so the amount of sheeps in less than 14

A grocery store wants to examine the relationship between the sales amounts each day at two different locations, store A and store B. The sales amount each day, in dollars, was recorded for 10 days at each store. The least-squares regression line is yˆ=−3,000+1.2x, where x represents the sales amounts each day at store A and y represents the sales amounts each day at store B. If the mean of the 10 sales amounts for store B is $45,000, what is the mean of the 10 sales amounts for store A?

Answers

Answer:

The mean of the 10 sales amounts for store A is $40,000.

Step-by-step explanation:

Given;

yˆ= −3,000 + 1.2x ...................... (1)

Where;

x = sales amounts each day at store A or the mean of the 10 sales amounts for store A = ?

yˆ = sales amounts each day at store B or the mean of the 10 sales amounts for store B = $45,000

Substituting y = 45,000 into equation (1) and solve for x, we have:

45,000 = −3,000 + 1.2x

45,000 + 3,000 = 1.2x

48,000 = 1.2x

x = 48,000 / 1.2

x = 40,000

Therefore, the mean of the 10 sales amounts for store A is $40,000.

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