WHICH LINE IS PERPENDICULAR TO THE LINE WITH EQUATION Y = -1/2X?

Answers

Answer 1

Answer:

y=-1/4x+3​ is the answer.

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Related Questions

Billy eats 28 apples and he had 40 apples at the start a kid asks for an apple how many apples are there left?

Answers

Answer: 11

Step-by-step explanation: 40-28= 12-1=11

Answer:

11 apples are left.

Step-by-step explanation:

Since Billy ate 28 apples from the 40 apples he had at the start, you have to subtract 40-28, which equals 12. Lastly, you subtract 12-1, since a kid asks Billy for an apple.

In the drawing below, what choice shows the corresponding sides as equal ratios?

Answers

Considering the similarity of triangles, the corresponding sides are:

[tex]\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}[/tex].

What are similar triangles?

If two triangles have the exact same angles, they are called similar, and the corresponding sides, that is, the sides adjacent to the same angles, have proportional lengths.

In this problem, the corresponding sides have equal ratios given as follows:

[tex]\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}[/tex].

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will give brainly .Which statements are true regarding undefinable terms in geometry? Check all that apply.


A point has no length or width.

A point indicates a location in a coordinate plane.

A plane has one dimension, length.

A line has a definite beginning and end.

A plane consists of an infinite set of lines.

A line consists of an infinite set of points.

Answers

The true statements about terms in geometry that are undefinable are;

A point has no length or widthA point indicates a location on the coordinate planeA line consists of an infinite set of points.A plane consists of an infinite set of points.

How can the true statements be found?

Three undefinable terms in geometry are;

1) Point

2) Line

3) Plane

The above terms do not have a formal definition but they can be described based on their properties.

The other geometric terms are defined based on the above undefinable terms.

A point can be described as a location in space that is dimensionless and can be specified on the coordinate plane as an ordered pairs (x, y).

True statements about a point are therefore;

A point has no length or widthA point indicates a location on the coordinate plane

A line is infinitely long, that has no beginning or end. It has one dimension, with no thickness or height.

Given that a point is dimensionless, a line can be considered a set of points.

A true statement is therefore;

A line consists of an infinite set of points.

A plane is a two dimensional geometric figure that have infinite length and width.

An infinite set of lines that forms a two dimensional figure can be used to describe a plane.

The true statement with regards to a plane is therefore;

A plane consists of an infinite set of points.

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In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 36 and 56?

Answers

The approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5.

Hence, Mean,μ=46 and Standard deviation,σ=5.

To find the probability of daily phone calls numbering between 36 and 56,

P(36≤X≤56)

To convert the X score to Z score, use the formula, Z=(X-μ)/σ

Then we get,

P((36-46)/5 ≤ Z ≤ (56-46)/5) = P(-2 ≤ Z ≤ 2)

By using the property of the normal bell curve, we get

P(-2 ≤ Z ≤ 2) = P(2 ≤ Z) - P(-2 ≤ Z)

As per the normal distribution table,

P(2 ≤ Z) - P(-2 ≤ Z) = 0.9772-0.0228

∴ P(36≤X≤56) = 0.9544

Hence, the approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.

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Geometry question! Help!

Answers

Answer: [tex]2\sqrt{2}[/tex]

Step-by-step explanation:

The inradius is given by the area of the triangle divided by the semiperimeter.

The semiperimeter is [tex]\frac{12+12+8}{2}=16[/tex].

Thus, by Heron's formula, the area is [tex]\sqrt{16(16-12)(16-12)(16-8)}=32\sqrt{2}[/tex].

Therefore, the radius is [tex]\frac{32\sqrt{2}}{16}=2\sqrt{2}}[/tex]

Problem Set 3.1: Characteristics of the Mean Criterion: Explain a distribution. Instructions: Read the following and answer the questions. Data: To study perception, a researcher selects a sample of participants (n = 12) and asks them to hold pairs of objects differing in weight, but not in size, one in each hand. The researcher asks participants to report when they notice a difference in the weight of the two objects. Below is a list of the difference in weight (in pounds) when participants first noticed a difference. Answer the following questions based on the data given in the table. Difference in Weight 4 8 9 5 12 7 6 15 10 4 8 8 1. State the following values for this set of data: a) Mean ___8____ b) Median ___8____ c) Mode(s) ___8____ 2. What is the shape of this distribution? Hint: Use the values of the mean, median, and mode to infer the shape of this distribution. _____________

Answers

1a.The mean is 8.

b. The median is 8.

c. The mode is 8.

2. The shape of the data is: perfectly symmetrical distribution.

How to Find the Mean of a Data Set?

To find the mean of the data set given for the difference in weight, 4, 8, 9, 5, 12, 7, 6, 15, 10, 4, 8, 8, 1, add all the values and divide by the number of values given, which is, n = 12.

Mean = (4 + 8 + 9 + 5 + 12 + 7 + 6 + 15 + 10 + 4 + 8 + 8)/12

Mean = (96)/12

Mean = 8

How to Find the Median?

The median is the center of the data when it is ordered.

Ordered data: 4, 4, 5, 6, 7, 8, 8, 8, 9, 10, 12, 15

The center (median) is the average of the two center values = (8 + 8)/2 = 16/2

Median = 8

How to Find the Mode?

The mode of the data is 8, because 8 appeared most in the data set.

The mean is 8.

The median is 8.

The mode is 8.

Thus, when the mean, median, and mode of a data set are the same, then it means the data is non-skewed or perfectly symmetrical.

Therefore the shape of the data is: perfectly symmetrical distribution.

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A parking garage bases its prices on the number of hours that a vehicle parks in the garage.

Graph of a piecewise function with one piece constant from 0 comma 2 to 2 comma 2 and another piece going from the point 2 comma 2 to 6 comma 10 and another piece going from 6 comma 10 through 7 comma 11 to the right

Based on the graph, what is the pricing scheme the parking garage uses for vehicles?

The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
The first two hours cost $2, between two and four hours cost $1 per hour, and all hours after that cost $0.50.
The first two hours cost $1 per hour, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
The first two hours cost $1 per hour, between two hours and six hours cost $1 per hour, and all hours after that cost $0.50.

Answers

The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.

How to determine the pricing scheme?

The points are given as:

Constant = (0,2) to (2, 2)Another = (2,2) to (6,10)Another = (6,10) to (7,11)

The constant interval implies that the first two hours cost $2

Next, we calculate the slope/rate of the other points.

This is done using

m = (y2 - y1)/(x2 - x1)

So, we have:

m1 = (10 - 2)/(6 - 2) = 2

m2 = (11 - 10)/(7 - 6) = 1

This means that:

The next 4 hours are charged for $2 per hourAll hours after that cost $1

Hence, the pricing scheme of the function is (a)

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What is the most precise name for quadrilateral ABCD with vertices
A(-1,0), B(4, 0), C(5, 4), and D(0, 4)?
A. rhombus
B. rectangle
C. square
D. parallelogram

Answers

Parallelogram is the quadilateral  ABCD with vertices A(-1,0), B(4, 0),

C(5, 4), and D(0, 4)

What is parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal.

first, find the length of the sides of the quadilateral.

AB = [tex]\sqrt{(4-(-1))^2+0-0^2} \\[/tex]= [tex]\sqrt{5^2+0}[/tex] = [tex]\sqrt{25}[/tex] = 5

BC = [tex]\sqrt{(5-4)^2+(4-0)^2}[/tex] = [tex]\sqrt{1^2+4^2}[/tex] = [tex]\sqrt{1+16} = \sqrt{17}[/tex]

CD = [tex]\sqrt{(0-5)^2+(4-4)^2} = \sqrt{(-5)^2+0} = \sqrt{25-0} = 5[/tex]

DA = [tex]\sqrt{(-1-0)^2+(0-4)^2} = \sqrt{(-1)^2+(-4)^2} = \sqrt{1+16} = \sqrt{17}[/tex]

opposite side length is equal.

so quadilateral is parallelogram.

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The most precise name for quadrilateral ABCD with vertices

A(-1,0), B(4, 0), C(5, 4), and D(0, 4) is parallelogram.

What is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4, 0), C(5, 4), and D(0, 4)?The most precise name for quadrilateral ABCD with vertices A(-1,0), B(4, 0), C(5, 4), and D(0, 4) is parallelogram.The parallelogram has opposite parallel sides.A parallelogram is a flat 2d shape that has four angles.The opposite interior angles are equal.If the parallelogram has anyone of the angles is a right angle, then all the other angles will be at a right angle.

Hence, the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4, 0), C(5, 4), and D(0, 4) is a parallelogram.

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The sum of three numbers is 24. If two numbers are 16 and 22, what is the third?

Answers

Answer:

X=-14

Step-by-step explanation:

16+22+x=24

38+x=24

x=24-38

x=-14

10 points please help with calculus HW
Find equations for the tangent line and the normal line to the graph of the equation at the given point. (The normal line at a point is perpendicular to the tangent line at the point.)
x^2 + y^2 = 10, (1, 3)
(a)Tangent Line = ___?____
(b)Normal Line=____?____
(c) Select a graph from the graph pictures attached

Answers

a. The equation of the tangent at (1,3) is y = -x/3 + 10/3

b. The equation of the normal at (1,3) is y = 3x

c. Find the graph in the attachment

a. How to find the equation of the tangent at (1, 3)?

Since x² + y² = 10, we differentiate the equation with respect to x to find dy/dx which the the equation of the tangent.

So, x² + y² = 10

d(x² + y²)/dx = d10/dx

dx²/dx + dy²/dx = 0

2x + 2ydy/dx = 0

2ydy/dx = -2x

dy/dx = -2x/2y

dy/dx = -x/y

At (1,3), dy/dx = -1/3

Using the equation of a straight line in slope-point form, we have

m = (y - y₁)/(x - x₁) where

m = gradient of the tangent = dy/dx at (1,3) = -1/3 and (x₁, y₁) = (1,3)

So, m = (y - y₁)/(x - x₁)

-1/3 = (y - 3)/(x - 1)

-(x - 1) = 3(y - 3)

-x + 1 = 3y - 9

3y = -x + 1 + 9

3y = -x + 10

3y + x = 10

y = -x/3 + 10/3

So, the equation of the tangent at (1,3) is y = -x/3 + 10/3

b. The equation of the normal at the point (1, 3)

Since the tangent and normal line are perpendicular at the point, for two perpendicular line,

mm' = -1 where

m = gradient of tangent = -1/3 and m' = gradient of normal

So, m' = -1/m

= -1/(-1/3)

= 3

Using the equation of a straight line in slope-point form, we have

m' = (y - y₁)/(x - x₁) where

m' = gradient of normal at (1, 3)  and (x₁, y₁) = (1,3)

So, m = (y - y₁)/(x - x₁)

3 = (y - 3)/(x - 1)

3(x - 1) = (y - 3)

3x - 3 = y - 3

y = 3x - 3 + 3

y = 3x + 0

y = 3x

So, the equation of the normal at (1,3) is y = 3x

c. Find the graph in the attachment

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Write an Algebra equation to the following question: Stephen and Lauren bought a home to flip for a profit. After budgeting a total of $23,150 for improvements, they started by spending $10,350 on subbing out some of the work. They would like to replace all thirty-two of the windows in the home. What is the maximum amount they can afford to spend on each window?

Answers

The maximum amount they can afford to spend on each window is $400

Equation

Total budget = $23,150Amount spent on subbing = $10,350Number of windows = 32Amount spent on each window = x

23,150 = 10,350 + 32x

23,150 - 10,350 = 32x

12,800 = 32x

divide both sides by 32

x = 12,800 / 32

x = $400

Therefore, the amount spent on each window is $400

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Did you ever purchase a bag of M&M Peanut candies and wonder about the distribution of
the colors? A recent article reported that 30 percent of the candies are brown, 20 percent yellow,
20 percent red, 20 percent green, and 10 percent orange. A one-pound bag of M&M peanut
candies was purchased at Wal-Mart here in Lubbock. A total of 188 candies were in the bag,
with 67 brown, 22 yellow, 51 red, 24 green, and 24 orange.
Fill in the following chart on the frequency of the colors.
Color Brown Yellow Red Orange Blue Green
Observed
Frequency
Expected
Frequency
Using the information from our sample bag, determine if our bag’s distribution matches the
advertised distribution. Use an alpha = 0.05.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. What distribution are you using?
4. What test are you running?
5. What is the critical value?
6. What is your test value?
7. What is your conclusion?

Answers

The null hypothesis is that the proportions are 0.30, 0.20, 0.20, 0.20, 0.10 and the alternative hypothesis is that the proportions are not as given above.

How to illustrate the information?

It should be noted that the null hypothesis is the theory that states that there is no statistical relationship between the variables.

In this case, the Chi square test can be run to get the desired information. Therefore, X² was gotten as 19.597. The degree of freedom is 4 and the p value is 0.0006 from the distribution table.

In this case, the critical value of 0.006 is less than the 0.05. Therefore, we need to reject the null hypothesis.

This implies that there's evidence that the distribution doesn't correlate with what we've.

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What is the area of a poster that is 1 1/2 feet by 2 1/2 feet?

Answers

The area of the poster is  28.75 feet square.

How to determine the area

Note that the area of a rectangle is given as;

Area = length × width

Length = 11. 5 feet

Width = 2. 5 feet

Area = 11. 5 × 2. 5

Area = 28. 75 feet square

Thus, the area of the poster is  28.75 feet square.

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What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?

12
15
17
18

Answers

The solution to the expression is 18

Your answer would be d, 18

To the nearest percent how much greater is 8 than 6

Answers

The percent greater of 8 than 6 to the nearest percent is 25%

Percentage

Percent greater = difference / higher chance value × 100

= 2/8 × 100

= 0.25 × 100

Percent greater = 25%

Therefore, the percent greater of 8 than 6 to the nearest percent is 25%

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Question 2: Xiulin and Meifang had an equal number of postcards. Meifang gave some of her postcards to Xiulin. After that, Meifang had 76 fewer postcards than Xiulin. Given that Meifang had 72 postcards left, find the number of postcards Xiulin had at first.​

Answers

110 postcards Xiulin had at first.

What is algebric equation?

Algebric equation is a mathematical statement in which two equation set equal to each other.

Let the number of postcards belonging to Xiulin and Meifang be x.

Let the number of postcard Meifang gave to Xuilin be 'a'

Number of postcard left with meifang

=> x-a = 72                                                              

=> x = 72+a

Meifang had 76 fewer postcards than Xiulin.

so, (x+a)-72=76

   72+a+a-72=76

   2a = 76

   a = 38

meifang give 38 cards to xuilin

x = 72+38

 = 110

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if x = 2z and y = 3z, find z

Answers

Answer:36

Step-by-step explanation:

Let name the missing angle in the triangle w.

We know that x+z+w=180

We also know that z+w=3z=y.

That means that w=2z.

x=2z, so, 2z+2z+z=180

z=36

Answer:

Z=36 degrees

Step-by-step explanation:

Since angles x and y are supplementary, you know that they add up to 180 degrees.

Since we know that:

=x+y

=2z+3z

=5z

=180 degrees

180/5=36 degrees, so Z=36 degrees

Which equation is the inverse of y = 9x² - 4?
0y= ± √x+4
9
O y = ±₁
+4
9
Oy= 2√x+4
3
INX
+√√√x 2
Oy= 3 3

Answers

[tex]y=9x^2-4\\9x^2=y+4\\x^2=\dfrac{y+4}{9}\\x=\pm\sqrt{\dfrac{y+4}{9}}=\pm\dfrac{\sqrt{y+4}}{3}\\\\\text{inverse: }y=\pm\dfrac{\sqrt{x+4}}{3}[/tex]

The inverse of the function y = 9x² - 4 is y = ±√((x + 4)/9). The correct option is A.

What is the inverse of the function?

To find the inverse of a function, we need to swap the positions of the input variable (usually x) and the output variable (usually y), and then solve for y. The resulting equation will be the inverse function.

To find the inverse of the function y = 9x² - 4, we need to swap the positions of x and y and then solve for y.

So, starting with y = 9x² - 4:

y = 9x² - 4

x = 9y² - 4 (swapping x and y)

x + 4 = 9y² (adding 4 to both sides)

y² = (x + 4)/9 (dividing both sides by 9)

y = ±√((x + 4)/9) (taking the square root of both sides, plus or minus)

So the inverse of the function y = 9x² - 4 is:

y = ±√((x + 4)/9)

Note that since we have a plus or minus sign in the expression, this means that the inverse is actually two functions: one that gives the positive square root, and one that gives the negative square root.

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Claire has 18 nail polish bottles while Becky has 2/3 of that amount. How many bottles of nail polish does Becky have?​

Answers

Answer:

15/16

Step-by-step explanation:

because 2/3have Becky

Need help I don’t understand what it means

Answers

Answer:

b) - 10

Step-by-step explanation:

Average rate of change:

To find the average rate of change, we have divide the change in y of f(x) , by the change in x(input).

   [tex]\sf \boxed{\text{\bf Average rate of change = $\dfrac{f(b)-f(a)}{b-a}$}}[/tex]

 a = 4 ; f(a) = -17

b = 6 ;   f(b) = -37

     [tex]\sf Average \ rate \ of \ change = \dfrac{-37-[-17]}{6-4}[/tex]

                                         [tex]\sf =\dfrac{-37+17}{2}\\\\=\dfrac{-20}{2}\\\\=-10[/tex]

Jakobe runs a coffee cart where he sells coffee for $1.50 tea for $2 , and donuts for $0.75 . On Monday, he sold 320 items and made $415 . He sold 3 times as much coffee as tea. How many donuts did he sell?

Answers

Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of coffee, y represent the amount of tea and z represent the amount of donuts, hence:

x + y + z = 320    (1)

Also:

1.5x + 2y + 0.75z = 415     (2)

And:

x = 3y     (3)

From the equations:

x = 150, y= 50 and z = 120

Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.

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Which of the following equation(s) has/have slope zero?
a. x = 2
b.y = -3
c. y = 5x+2
d. x+ 5 = 0
O Both a and c
Only c
O Only b
O Both a and d

Answers

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

Which point is the center of the Circle with the given equation.

(x + 5)2 + (y - 4)2 = 9

Answers

The center of the circle is (-5, 4)

How to determine the center of the circle?

The circle equation is given as:

(x + 5)^2 + (y - 4)^2 = 9

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Center = (a, b)

By comparing both equations, we have

(a, b) = (-5, 4)

Hence, the center of the circle is (-5, 4)

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The sum of two integers is 250.If one of them is -87,find the others integers​

Answers

the answer is:
-87+x=250
+87. +87
x=337

Miguelle is deciding which type of heating system to put in his house. An oil system costs $2700 to install and
$900 per year to operate. A solar system costs $9000 to install and $200 per year to operate.


Determine your variables
Let=
Let=


2. Create your equations and number them.


3.Solve the linear system using ELIMINATION OR SUBSTITUTION.

Answers

Answer: (9, 10800)

Step-by-step explanation:

We will first let x be the number of years and y be the total cost.

In that case, let's plug in the values for each into the equation y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept will be the value we start with before any years pass, so it will be the installation cost. The slope is how fast the total cost will increase. Since the operation costs have to be added on every year, it will be our slope.

With that in mind, let's create both of our equations:

y = 900x + 2700 (Oil system)y = 200x + 9000 (Solar system)

Since y is solved for in the first equation, we can substitute it into the second equation:

[tex]900x + 2700 = 200x + 9000[/tex]

[tex]700x + 2700 = 9000[/tex] [Subtracting 200x from both sides]

[tex]700x = 6300[/tex] [Subtracting 2700 from both sides]

[tex]x = 9[/tex] [Dividing both sides by 700]

We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:

[tex]y = 900(9) + 2700[/tex]

[tex]y = 8100 + 2700[/tex] [Multiplying]

[tex]y = 10800[/tex] [Adding]

Hence, the solution to this linear system is (9, 10800).

Consider the probability that exactly 90 out of 147 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 56%.

Approximate the probability using the normal distribution. Round your answer to four decimal places.

Answers

Answer:

Step-by-step explanation:

i didnt do anything bro why u delete my answer

please help....title of the work assignment...WHERE DOES THE DECIMAL GO USING ESTIMATION WHEN DIVIDING DECIMALS.....

146÷0.7. SOLUTION AND REASONING...​

Answers

The correct equation of 146 ÷ 7 = 20857 is 146.0 ÷ 7.0 = 20.857

How to divide the decimals?

The equation is given as:

146 ÷ 7 = 20857

The above equation is wrong.

The equation can be rewritten as:

146.0 ÷ 7.0 = 20857

The significant digits in 146.0 and 7.0 are 3 and 1, respectively.

3 - 1 = 2

This means that

So, the decimal place in the result must be after the second digit.

So, we have:

146.0 ÷ 7.0 = 20.857

Using the above highlights, we have:

146 ÷ 0.7 = 208.57

1.46 ÷ 7 = 0.20857

14.6 ÷ 0.7 = 20.857

1460 ÷ 70 = 20.857

The reasoning behind the above equations is that the decimal position in the results is dependent on the decimal positions in the dividend and divisor

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How many fewer people live in Elmira than White Plains

Answers

Population density implies the number of an object, items, or people that can be found in a unit area at a particular time. Therefore, the number of fewer people that live in Elmira than in White Plains is 27,653.

Population density implies the total number of objects, items, or people that exist in a unit area or a place at a particular time. So that the number of people that exist in a place, area, city, or country can be referred to as population, in a particular period.

Thus in the given question, it can be deduced that;

The population of people living in White Plains =56,853

The population of people living in Elmira = 29,200

So, the difference in the population between the two cities can be determined as;

                         = 56,853 - 29,200

                         = 27,653

Thus, the number of fewer people living in Elmira than in White Plains is 27,653

 

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The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides.

Answers

Answer:

12 inches

Step-by-step explanation:

A regular polygon is any 2-D shape where all the sides and angles are congruent.

Regular Hexagon

As denoted by the prefix "hexa-", hexagons have 6 sides and internal angles. The perimeter is equal to all 6 sides added together. However, we know that these sides must be congruent because it is a regular hexagon.

Solving for Perimeter

We can create an equation that describes the perimeter of this shape, with "x" representing the length of one side.

6x = 72

Since all the sides are equal we can use multiplication instead of addition. To solve this equation, divide both sides by 6.

x = 12

This means that all sides must be 12 inches.

Lewis High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.

Position People interested
Faculty members Dr. Wright, Mr. Torres, Mrs. Lee, Ms. Reed
Male students Jose, Ali, Tony
Female students Donna, Keiko, Rita
Parent Dr. Wilson, Dr. Patterson, Ms. Rivera, Mrs. Ross, Ms. Bell

Answers

The number of possible committees from the given list is; 120 committees

How to Solve Probability Combinations?

From the given list, we can say that;

Number of faculty members = 4

Number of male students = 2

Number of female students = 3

Number of parents = 5

Thus, the number of ways to fill the 4 member committee is calculated from probability combination as;

Number of committees = 4 * 2 * 3 * 5 = 120 possible committees

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