What is the range of this graph?

The probability that the sample mean will lie between 1070 and 1120 is .7001 to .8500.

To find the probability that the sample mean will lie between 1070 and 1120, we use the Z-score formula:

Z = (x - μ) / σ

where x is the value we are looking for (in this case 1070 or 1120), μ is the population mean (1100), and σ is the population standard deviation (100).

Using this formula, we can calculate the Z-scores for 1070 and 1120, which are -0.3 and 0.2 respectively.

We can then use a Z-table to find the probability associated with each of these Z-scores. The probability associated with a Z-score of -0.3 is 0.6179, and the probability associated with a Z-score of 0.2 is 0.7886.

The probability that the sample mean will lie between 1070 and 1120 is the difference between these two probabilities, which is 0.1707. This is equivalent to a probability of 0.7001 to 0.8500.

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If each unit on the grid represent 25 feet, then the perimeter of the factory is 1000 feet

Each unit on the grid represent 25 feet

The length of the side w1 = 3 × 25

= 75 feet

The length of the side N1 = 13 × 25

= 325 feet

The length of the side E1 = 7 × 25

= 175 feet

The length of the side S1 = 5 × 25

= 125 feet

The length of the side W1 = 4 × 25

= 100 feet

The length of the side S2 = 8 × 25

= 200 feet

The perimeter of the factory = 75 + 325 + 175 + 125 + 100 + 200

Add the terms together

= 1000 feet

Therefore, the perimeter of the factory is 1000 feet

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82.5 million was the profit the year before the profit decreased 20% to 66 million from one year to the next

What does profit means ?

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Any profits generated are returned to the company's owners, who can decide whether to keep the money for themselves, pay dividends to shareholders, or reinvest it in the company.

Entire revenue less total costs equals profit.

Companies report gross profit, operational profit, and net profit for accounting purposes (the "bottom line").

Investors are drawn to profitable businesses because these businesses either distribute their earnings as dividends to shareholders or invest them back into the business, which raises stock value.

According to the question Company lost 20% from its profit and it reached to 66 million that means

let X be the total profit of the year

X - loss percent = 66 millions

X - X (20/100) = 66 million

X-0.2X = 66 million

0.8X = 66 million

X= 66/0.8 million

X = 82.5 million

So, 82.5 million was the profit the year before

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Answer: Ethan

Step-by-step explanation:

E:A

18:45 on page

12:9 per day

48:36 after 4 days

Ethan is further along in the book after 4 days

The intervals for which the function y = -7 - |x| is increasing and decreasing is given as follows:

The function is defined as follows:

y = -7 - |x|.

The parent absolute value function is increasing for x > 0 and decreasing for x < 0.

For this problem, the multiplication by -1 means that the function was reflected over the x-axis, meaning that the intervals of decrease and increase were exchanged, and thus they are given as follows:

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Answer: Look at step-by-step explanation

Step-by-step explanation:

1) When a polynomial f(x) has a factor x - y, then f(y) = 0, hence

[tex]2^{3}[/tex] - 3 × [tex]2^{2}[/tex] + 2a + b = 0

8 - 12 + 2a + b = 0

2a + b = 4

2) When a polynomial f(x) is divided by x - y, then f(y) = the remainder, hence

(A) When divided by x - 1

[tex]1^{3}[/tex] - 3 × [tex]1^{2}[/tex] + a + b = 1 - 3 + a + b = a + b - 2

(B) When divided by x - 3

[tex]3^{3}[/tex] - 3 × [tex]3^{2}[/tex] + 3a + b = 27 - 27 + 3a + b = 3a + b

Answer:

d = {-10, 0, 3, 7, 8}

Step-by-step explanation:

the domain is the set of x values in a function

The subject of a random event is covered in the mathematical field of probability.

Statistics is a field of mathematics that deals with gathering, analyzing, interpreting, and presenting vast amounts of numerical data.

Given,

Probability;-

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Statistics;-

Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States. On the other hand, a sample statistic is the average income for a sample taken from the United States. Although both figures correspond to the mean income, only one is a statistic.

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The elevator's rate of travel in meters per second is 2m/s and 1/2 s/m is in seconds per meter.

A division is a process of splitting a specific amount into equal parts.

Given,

An elevator in the Seattle Space Needle can rise 100 meters in 50 seconds,

We need to find the elevator's rate of travel in meters per second and in seconds per meter

To find in meter per second we just need to divide 100 by 50 seconds

100/50=2 m/s

To find in seconds per meter we just need to divide 50 by 100

50/100=1/2s/m

Hence, the elevator's rate of travel in meters per second is 2m/s and 1/2 s/m is in seconds per meter.

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Thus, the scale factor by which he increased his screen size is 3:2

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given, the pixel of Mike's old calculator = 96 pixel

His new calculator has pixels = 144 pixel

Scale by which it increased = New pixels/Old pixel

= 144p/96p

= 3:2

Thus, the scale factor by which he increased his screen size is 3:2

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Answer:

A=1 B=2 C=7

Step-by-step explanation:

Look at the graph!!!!

Option D, The equation that satisfy the situation is  y - 12 = 1.50(x-6).

The study of geometry using coordinate points is known as coordinate geometry (also known as analytical geometry). Finding the distance between two points, breaking lines into m:n segments, locating a line's midpoint, computing a triangle's area in the Cartesian plane, and other operations are all feasible using coordinate geometry.

A straight line is represented using its slope and a point on the line using point slope form. This indicates that the point slope form is used to get the equation of a line whose slope is "m" and which passes through the points (x 1, y 1). The equation of a straight line can be expressed in several ways. Point slope shape is one of them. Y - Y 1 = m(x - X 1) is the equation for the point slope form, where (x1, y1) is a randomly chosen point on the line and m is the slope of the line.

The slope of the line is 1.5

The Point through which the equation will satisfy is (6,12)

Therefore the equation of the line in Point-Slope form is

y - y1 = m ( x- x1)

⇒ y - 12 = 1.50 ( x  - 6)

Option D, The equation that satisfy the situation is  y - 12 = 1.50(x-6).

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A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension.

The partial results :

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In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.

There are many different types of equations, such as linear, quadratic, cubic, etc.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It shows that the expressions printed on the left and right sides have an equal relationship. In any mathematical equation, we have LHS = RHS (left hand side = right hand side).

Equations can be solved to find the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol in the sentence, it is not an equation.

Hence, In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

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Complete question-

Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.

Answer:

After the first translation, the coordinates of the vertices of the triangle will be X (3,-13), Y (0,-8), Z (-7, 1). After the second translation, the coordinates of the vertices will be X (5,-7), Y (2,-2), Z (-5, 7).

The final translation rule that maps the pre-image to the final image is a translation of 2 units right and 6 units up. This can be written as a translation rule of the form (x, y) -> (x + 2, y + 6).

Step-by-step explanation:

After the first translation the coordinates are:

After the second translation the coordinates are:

The final translation rule is:

or

Answer:

A. 4

Step-by-step explanation:

x/2 - 5 = -3

x/2 = 2

x = 4

Multiply both sides of the equation by 2.

Add 10 to both sides.

Add −6 and 10 to get 4.

The round of tip amount.

Total tip = $ 7.00

Total (Bill + Tip) = $ 39.00.

How to Calculate Tip?

To calculate the tip multiply the total check by 1 plus the decimal percentage tip you'd like to leave.

If you wanted to leave a 20% tip, you would add 1 to 0.20 to get 1.20. Multiply the bill by 1.20 to get the total amount you'd leave including tip.

To calculate this, you can multiply the bill amount by the tip percentage: $32 * 0.20 = $6.40.

The tip amount was $6.40.

Hence, the round of tip amount.

Total tip = $ 7.00

Total (Bill + Tip) = $ 39.00.

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The solution  to the system of equations is (x, y) = (2, -1).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

WE are given the  system of equations

2x−y=5

y = 2x - 5

y=3x−7

Adding the two equations Then divide by 2

Subtracting the second equation from the first gives;

0 = x -2

x = 2

y = -1

therefore, The solution is (x, y) = (2, -1).

The solution  to the system of equations is (x, y) = (2, -1).

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The required zeros of the function y=(x-3)(x + 2)(x-2) is given as 3, -2, and 2. Option C is correct.

Here,
Zero of the function are the values of x, for a function for which the function gives y = 0,
So let y = 0,   - - - - - -(1)

Put y = (x-3)(x + 2)(x-2) in equation 1
(x-3)(x + 2)(x-2) = 0
Equating each parenthesis step by step with zero,
x - 3 = 0     ; x + 2 = 0     ;   x - 2 = 0  
    x  = 3     ;     x  = -2    ;        x = 2

So the values that came out are 3, -2, and 2, are said to be zeros of the given function,

When we substitute any value in the function then y becomes zero such as,
Put x = 3 in function,

y = (3-3)(3+2)(3 - 2)
y = (0)(5)(1)
y = 0

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Answer:

Start with 60 fliers

post 1/4 of fliers so 60*.25=15

60-15=45 left

post 1/5 of remaining so 45*.20=9

45-9=36 left

Step-by-step explanation:

Last week: (had 60) (used 1/4)= (60)(1/4)= 15. So, you used 15.

You have 60-15=45 left. This is how many you have to start the week.

This week: (had 45) (used 1/5)= (45)(1/5)= 45/5=9. So, you used 9.

This means that you have 45-9= 36 left.

Mary Still did not post 60 fliers.

Total fliers Mary was having = 96

Fliers she posted last week = 1/6 = 0.16

Fliers left with Mary after posting 1/6 part last week

= 96 x 0.16

= 16

Fliers left with Mary after the posting of 1/6 of them

= 96 - 16

= 80

Now the new remaining number of fliers with Mary = 80

Fliers she posted this week = 1/4 = 0.25

Fliers left with Mary after posting 1/4 part this week

= 80 x 0.25

= 20

Fliers left with Mary after the posting of 1/4 of them this week

= 80 - 20

= 60

Therefore, the fliers that Mary still did not post = 60

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Answer:

G = -32

Step-by-step explanation:

Answer:

Q-(1,1)       L-(1,-2)       G-(4,-4)

Step-by-step explanation:

becuase

Answer:

Step-by-step explanation:

a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).

b.) 28.3 = [tex]23.1e^{0.0152t}[/tex]

1.22510823 ≈ [tex]e^{0.0152t}[/tex]

ln 1.22510823 ≈ 0.0152t

t≈13.4 MILLION

In the drawing, the length of the living room is 3 millimeters.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, Tyler made a scale drawing of an apartment. The scale of the drawing was 1 millimeter : 2 meters.

The living room is 6 meters long in real life and assuming in the drawing it is x millimeters.

∴ 1 : 2 : : x : 6.

1/2 = x/6.

x = 6/2.

x = 3.

So, In drawing it is 3 millimeters.

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Answer:

D

Step-by-step explanation:

it is a regular pentagon.

so, all side lengths are equal, and also all cross connections between corners are equal.

that makes TR parallel to PQ.

and that makes SPQ an isoceles triangle (both legs are equally long). and the smaller triangle S to x to the angle to the right of x is similar to SPQ, which means they have the same angles.

so, the triangle interior angle at P = the triangle interior angle Q = y.

and they must be the same as the bottom 2 interior angles of the small triangle.

x and the angle right to x are equal too, as they are the triangle exterior (supplementary) angles to the bottom 2 interior angles of the small triangle.

we know that the sum of all angles of the internal trapezoid (PQ to x and its right neighbor) is 360.

and based on the EqualLogic found above these angles are

2×x + 2×y = 360°

x + y = 180°

Therefore, the linear speed of the wheel on a bike is approximately 0.9π miles per hour.

The pace at which an object travels a specific distance in a predetermined amount of time is known as linear speed. By dividing the distance traveled by the time it takes to cover that distance, it may be used to determine how rapidly an item is travelling in a straight line. For instance, if a car moves 100 meters in 10 seconds, its linear speed is 10 meters per second. Linear speed is distinct from average speed, which takes into account any variations in velocity or direction throughout the duration of a voyage. Linear speed is also distinct from tangential speed, which is the pace at which an item travels along a circular route. Physics' fundamental idea of linear speed.

How to solve?

C=2πr,

C=2π(19)=38π.

linear speed of v=(38π/60)*5280=33.6π feet per second.

final speed of v=(33.6π/3600)*60=0.9π miles per hour.

Therefore, the linear speed of the bike is approximately 0.9π miles per hour.

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