Which graph represents a function? A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative 3, negative 3), (negative 1, 1), and (1, 4). A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative 2, negative 2), ( 1, 1), and (2, negative 2). A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative 3, negative 3), (1, negative 4), and (1, 1). A coordinate plane shows 4 points with the following coordinates: (negative 4, 4), (negative 4, 1), (negative 2, 1), and (2, 1).

Answers

Answer 1

The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

What are Coordinates?

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are;

(-3, 3), (-3, -3), (-1, 1), (1, 4)

(-3, 3), (-2, -2), (1, 1), (2, -2)

(-3, 3), (-3, -3), (1, -4), (1, 1)

(-4, 4), (-4, 1), (-2, 1), (2, 1)

Now, For an ordered pair to be a function, either of the following must be true:

Each x-value has exactly one corresponding y-value.

More than one x-values have the same corresponding y-values.

And, If any of the following conditions is true, then the ordered pair is not a function,

One x-value has multiple corresponding y-values.

More than one x-values have multiple corresponding y-values.

From the given options, only ordered pair  (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.

Because none of its x-values have multiple corresponding y-values.

And, Other ordered pairs are either one-to-many or many-to-many.

So, The ordered pair that represents a function is:

⇒  (-3, 3), (-2, -2), (1, 1), (2, -2)

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Related Questions

At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?

Answers

Answer:

9 burritos and 18 tacos

Step-by-step explanation:

We can start this problem by assigning a variable to our unknowns.

Let's name x the number of burritos he buys.

The question states he buys half as many burritos as tacos.

Therefore, the number of tacos he bought is 2x.

Let's set up an equation.

(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost

2.19x+1.29(2x)=42.93

Simplify

2.19x+2.58x=42.93

4.77x=42.93

x=9

Michael bought 9 burritos.

2*9=18

Michael bought 18 tacos.

Answer:

\( \displaystyle 18\)

Step-by-step explanation:

we are given that,

tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacos

let the number of tacos and burritos be t and b respectively

according to the 3rd condition we get:

\( \displaystyle 1.29t + 2.19b = 42.93\)

according to the 4th condition we obtain:

\( \displaystyle t = 2b\)

therefore our system of linear equation is

\(\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}\)

so now we end up with a system of linear equation in order to solve the equation we can consider substitution method

so substitute the value of t which yields:

\( \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93\)

simplify multiplication:

\( \displaystyle 2.58b+ 2.19b = 42.93\)

since we have same variable we can consider the like terms:

\( \displaystyle 4.77b = 42.93\)

divide both sides by 4.77:

\( \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}\)

reduce fraction:

\( \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}\)

\( \displaystyle b = 9\)

now substitute the value of b:

\( \displaystyle t = 2.9\)

simplify multiplication:

\( \displaystyle t =18\)

hence,

he bought 18 tacos

Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?

Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package

Answers

Answer:

the answer would be A

Step-by-step explanation:

The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20

A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.

The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.

Answers

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]


unitsize(1cm);


pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);


draw(O--N--A,Arrow);


draw(O--S--B,Arrow);


\(label("$52^\circ$", N + 0.3*dir(52), NE);\)


\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);


\(label("$x$", (N+A)/2, W);\)


\(label("$y$", (S+B)/2, E);\)


[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation

Which measure of spread is best for the data in the table?CityPopulation(thousands)134024803385445056006325O

Answers

Answer:

the answer is C mean absolute deviation

Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?

Answers

Answer:45%

Step-by-step explanation:

Find the percentage difference between the two. And that would be his percent error.
Hope this helps.
I’m not really good at percentages but I’m sorry I couldn’t give you the full answer. You got this though! <3

find the area of the square rug if its side is (4×+1)feet ​

Answers

Answer:

5x feet

Step-by-step explanation:

it is 5x because you got to take away the x and just add them together then and the x to the soultion you get

Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00

Answers

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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A. Find the Mode, Median, Mean and Range. Show your work.

1. 24, 31, 12, 38, 13, 15, 46, 62.

2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.

3. 53, 22, 76, 46, 68, 32, 15, 29.

4. 17, 24, 8, 19, 6, 34, 10, 28, 12.

5. 5, 8, 9, 10, 11, 15, 21, 32.

6. 28, 15, 15, 46, 27, 21, 24

B. Find the mode, median, and range

7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2

8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6

C. Find the mode and median for each data.

9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9

10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10

Answers

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Need the answer for first picture!

Need the answer for first picture!

Answers

The measure of <MNL is (71 - 3x²)/2.

We have,

Far Arc = 59 - 2x²

Near Arc = 12 - x²

Angle = 180- 2x²

Using the Formula

Angle= Average of vertical chords

180 - 2x² = (59 - 2x² + 12 - x²)/2

360 - 4x² = 71 - 3x²

289 = x²

x= 17

So, the measure of <MNL

= (71 - 3x²)/2

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Describe each of the following values as​ (A) a discrete random​ variable, (B) a continuous random​ variable, or​ (C) not a random​ variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.

Answers

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.

Answers

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Please help needed asap

Please help needed asap

Answers

Answer:

So if she worked for 25 hours and has $1,000 in the bank and she needs $2,000 for the trip . Divide 25 from 1000 and you get 40. Multiple 40 by 2 and you get 80 . So she needs to work 50 hours to get $40 a day so she has 2000 by her trip

Step-by-step explanation:

of 30 students , 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer?​

Answers

Figure it out tonta tonta

Answer:

10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer

Step-by-step explanation:

The customer gives you four $20 bills for a video game that totals $67.33.

Answers

Answer:

the answer is $12.67

Step-by-step explanation:

Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.

Answers

Answer:

C. Area is the total distance around the outside of a shape.

Step-by-step explanation:

Answer:

Area is the total distance around the outside of a shape, Would be correct.

Step-by-step explanation:

please please help last text then finals l give brainliest

please please help last text then finals l give brainliest

Answers

1. The x - intercepts of the parabola are

x = 2.5 s and x = 7.5 s

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

What is a parabola?

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

x = 2.5 s and x = 7.5 s

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Proportionality yes or no - show work

X y
____ ____
6 -2
7 -1
8 0
9 1

Answers

No, the relationship on the table is not proportional

How to determine if the relationship is proportional

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

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle

Answers

Answer:

j=45 k=83 L=52

Step-by-step explanation:

j=x-7

k=2x-21

L=x

x-7+2x-21+x=180

4x-28=180

4x=208

x=52

The measure of the angles are; J = 48, K = 57 and L = 75

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

In order to determine the measure of these angles, we have to set J as x. then find the measure of all of these angles.

J = x

K = x + 9

L = 2x - 21

Now, we can add them all together and set equal to 180;

x + x + 9 + 2x - 21 = 180

4x - 12 = 180

4x = 192

x = 48

Now that we have;

J = x = 48

K = x + 9 = 48 + 9 = 57

L = 2x - 21 = 2(48) - 21 = 96 - 21

L = 75

Hence, The measure of the angles are; J = 48, K = 57 and L = 75

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Jaime is setting up his tent. He is using two nylon ropes to pull the tent taut and stabilize it at each end. If the tent is 6.5 feet tall, and Jaime stakes the ropes into the ground 4 feet from the center of the tent, what is the total length of nylon rope he will use, to the nearest tenth of a foot? Show all of your work by writing out the steps you used to solve the problem or by using the drawing features in the space provided.

Answers

The total length of the nylon rope that Jamie will use would be 15.3 feet of nylon rope.

How to find the total length ?

Within this scenario specifically, one side of the right-angled triangle comprises the height of the tent (standing at 6.5-feet), and the other forms as the measure from the center of the tent to where Jaime stakes the ropes stretching outwards in another direction (with a calculated measure of 4-feet). Subsequently, we will refer to the extent of the nylon rope as R.

The Pythagorean theorem formula is:

R ² = 6.5 ² + 4 ²

R ² = 42. ²25 + 16

R ² = 58.25

R = 7. 63 ft

There are two ropes so the length would be :

= 7. 63 + 7. 63

= 15. 3 ft

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QUICK HELP PLS!! Tell all steps :) 100 POINTS!!


The two triangles above are similar.


Find x using the ratio of the sides 12 cm and 16 cm:

x

20

=

12

16

. Show your work.


Find x using the ratio of the sides 6 cm and 8 cm. Show your work.


Explain why the answers to (a) and (b) should be the same.

Answers

a. Using the ratio of the sides 12 cm and 16 cm

x/20 = 12/16

x = (12(20)) / 16 = 15

b. Using the ratio of the sides 6 cm and 8 cm

x/20 = 6/8

x = (6(20)) / 8 = 15

c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.

Hope this answer will be a good help for you.

The table below shows the number of students who attend various after-school activities.Which does the ratio 17:44 represent?

Answers

Answer:

The part-to-part relationship between homework help and sports

Step-by-step explanation:

Assume the table is like the one below.

\(\begin{array}{lcl}\textbf{Activity}& \textbf{Students} \\\text{Spanish} & 19 \\\text{Basketball} & 24 \\\text{Drama} & 15\\\text{Homework help} & 17 \\\text{Soccer} & 20 \\\end{array}\)

17 students participated in homework help.  

44 students participated in basketball (24) and soccer (20), i.e. sports

Both sports and homework help are parts of the whole group of all activities.

Thus, 17:44 represents the part-to-part relationship between homework help and sports.

 

Explanation: Please show table.

Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)

Answers

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Find the distance between the two points rounding to the nearest tenth (if necessary),
(2, -8) and (5, -6)
Answer:
Submit Answer

Answers

Approximately 3.6.

Hope this helps

Please help by tomorrow

Please help by tomorrow

Answers

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

How to calculate the value?

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Of the 50 students in mr motchells classes 60% are girls on friday 20% of the girls in the classes wore jeans how mnay girls wore jeans

Answers

Answer:it would be 20

Step-by-step explanation:

Answer: 20.

Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).

Drag and drop the correct classification for each column. If a column has quantitative data, also identify it as
discrete or continuous.
Quantitative
Qualitative
Discrete
Continuous
Patient's Name Age (in years) Height (in cm) Weight (in kg)
Arin Claus
26
170.18
Binny Paver
182.88
Natal Zoom
172.72
23
31
71
95
83
Marital Status
Married
Single
Married

Answers

Answer:

-56

Step-by-step explanation:

170.18-26-23+83+-1

how do you find lateral surface area​

Answers

Answer: This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.

Step-by-step explanation:

V7xV2
Realiza la siguiente multiplicación de raíces cuadradas

Answers

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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In ASTU, mZS = (6x – 15)°, mZT = (2x − 2)°, and
mZU = (4x – 7)º. What is the value of x?

In ASTU, mZS = (6x 15), mZT = (2x 2), andmZU = (4x 7). What is the value of x?

Answers

Answer:

x = 17

Step-by-step explanation:

all three expressions should be added together and set equal to 180 degrees

6x - 15 + 2x - 2 + 4x - 7 = 180

now combine like terms

12x - 24 = 180

add 24

12x = 204

x = 204/12

x = 17

Does anyone know this answer??

Does anyone know this answer??

Answers

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Solve the following and explain:2/3(9x-3)=5x+4-x What is the equation of the line that has a slope of 0 and passes through the point (6, -8)? It is suggested that mesmerism could be described as the beginnings of _________________ in america. Whats the measure of QS?A ) 6.2 mmB) 9.5 mm C)21.9 mmD)22.4 mm Please show work because I need to understand name an efficient way to convey an idea in a small amount of space. please help me pplease (WILL GIVE BRAINLY)What happens to a population of organisms when their environment becomes unfavorable to their survival?1) Both answers are correct.2) They may migrate to a more favorable environment. 3) They may go extinct. How does the Constitution prevent any of the three branches of government from becoming too powerful? A) with amendments and articles B) with the Bill of RightsC) through the application of popular sovereignty D) through a system of checks and balances Determine whether a formal or informal tone is needed for each audience.your best friendthe school principala religious figurein the communitya younger cousinthe mayor of your citya classmate What is a compound Sentences If X has a uniform distribution U(0, 1), find the pdf of Y = e^(x). In problems 1-3, use properties of exponents to determine which functions (if any) are the same. Show work to justify your answer. This is not a calculator activity. You must explain or justify algebraically.1. f(x) = 3x-2 2. g(x) = 3* - 9. h(x) = *2. f(x) = 4x + 12. g(x) = 2*. h(x) = 64(4*)3. f(x) = 5x + 3. g(x) = 5*. h(x) = -5* Find the measures of the central tendency of the data: (Round the answer to 2 decimal places)71491010713Mode: (Enter DNE if there are no modes)Mean: Median: QuestionWhich explanation agrees with the contemporary model of electric charge?(a) If an object is charged negatively by rubbing, it has lost positively charged particles.(b) If an object is charged positively by rubbing, it has lost negatively charged particles.(c) If an object is charged positively by rubbing, it has acquired positively charged particles.(d) If an object is charged negatively by rubbing, it has acquired negatively charged particles.(e) a and c (f) b and d A boron diffusion into a 1-ohm-cm n-type wafer results in a Gaussian profile with a sur- faceconcentration of 5 X 1018/cm3and a junction depth of 4.a.How long did the diffusion take if the diffusion temperature was 1100 C?b.What was the sheet resistance of the layer?c.What is the dose in the layer?d.The boron dose was deposited by a solid-solubility-limited diffusion. Design a diffusionschedule (temperature and time) for this pre-deposition step The right to regulate public schools is reserved for _______________. plz help fast 15 points and brainliest factor 6a^3-18ab please show work in comparison with fiscal policy, monetary policy faces recognition lag, administrative lag, but avoids operational lag.TrueFalseWhen the Bank of Canada buys bonds on the open market, the money supply increases.TrueFalseAn increase in the money supply will raise the interest rate, decrease investment spending, and decrease GDP.TrueFalseOne policy dilemma posed by cost-push inflation is that the reduction of aggregate demand to restrain inflation will cause a further reduction in the real GDP.TrueFalseOnce the wages fall in recession, AS will decrease, which will decrease prices further.TrueFalse Which does NOT cause an increase in carbon dioxide in the atmosphere 2bO burning fossil fuelsO deforestationO driving more carsO using solar energy to heat a homeDO NOT ANSWER IF YOU DONT KNOW THE ANSWER THANKS!