Exercise 5:
You conduct a study to determine the impact that varying the amount of noise in an
office has on worker productivity. You obtain the following productivity scores.
Condition 1:
Low Noise
15
19
13
13
Condition 2:
Medium Noise
13
11
14
10
Condition 3:
Loud Noise
2978
a. Assuming that productivity scores are normally distributed ratio scores, compute
the summaries of this experiment.
b. Draw the appropriate graph for these data.
c. Assuming that the data are representative, draw how we would envision the
populations produced by this experiment.
d. What conclusions should you draw from this experiment?

Answers

Answer 1

The answers for the following questions are mentioned below respectively.

Define statistics?

The branch of mathematics that involves the collection, analysis, interpretation, presentation, and organization of data.

a. To compute the summaries of this experiment, we need to calculate the mean and standard deviation of each condition.

Condition 1: Low Noise

Mean = (15 + 19 + 13 + 13) / 4 = 15

Standard deviation = √([(15-15)²+ (19-15)² + (13-15)² + (13-15)²] / (4-1)) = 2.58

Condition 2: Medium Noise

Mean = (13 + 11 + 14 + 10) / 4 = 12

Standard deviation = √([(13-12)²+ (11-12)² + (14-12)² + (10-12)²] / (4-1)) = 1.87

Condition 3: Loud Noise

Mean = 2978

Standard deviation = undefined, as there is only one observation.

b. The appropriate graph for these data is a histogram, with each condition represented by a different color or pattern. The x-axis represents the productivity scores, and the y-axis represents the frequency or percentage of observations in each condition.

c. Assuming that the data are representative, we would envision the populations produced by this experiment as three different normal distributions, each with its own mean and standard deviation. The population distribution for the low noise condition would be centered around a mean of 15, with most scores falling within 2.58 points of this mean. The population distribution for the medium noise condition would be centered around a mean of 12, with most scores falling within 1.87 points of this mean. The population distribution for the loud noise condition is unknown, as we only have one observation.

d. The conclusions that can be drawn from this experiment depend on the research question and hypothesis being tested. However, based on the information given, we can conclude that there is a difference in productivity scores across the three conditions, with the lowest scores occurring in the medium noise condition. However, we cannot draw any conclusions about the effect of noise on productivity without further analysis or experimental manipulation.

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Answer 2

We must determine the means and standard deviation of each circumstance.

Standard deviation = 1.87

Mean = 2978

Define statistics?

The area of mathematics concerned with the gathering, examination, interpretation, display, and arrangement of data.

a). We must compute the means and standard deviations of each condition in order to compute the summaries for this exercise.

Condition 1: Low Noise

Mean = (15 + 19 + 13 + 13) / 4

          = 15

Standard deviation = √([(15-15)²+ (19-15)² + (13-15)² + (13-15)²] / (4-1))

                                = 2.58

Condition 2: Medium Noise

Mean = (13 + 11 + 14 + 10) / 4

         = 12

Standard deviation = √([(13-12)²+ (11-12)² + (14-12)² + (10-12)²] / (4-1))

                                = 1.87

Condition 3: Loud Noise

Mean = 2978

Standard deviation = undefined, as there is only one observation.

b). The suitable graph for these data is a histogram, where the x-axis represents productivity scores and the y-axis represents the frequency or percentage of observations in each condition, with each condition represented by a different color or pattern.

c). We would picture the populations generated by this experiment as three distinct normal distributions, each with its own mean and standard deviation, assuming that the data are representative. Most scores would lie within 2.58 points of the mean for the low noise condition, which would have a population distribution centered around a mean of 15. Most scores would lie within 1.87 points of the mean for the medium noise condition, which would have a population distribution centered around a mean of 12. We only have one observation, so we don't know the population distribution for the loud noise situation.

d). The study query and tested hypothesis determine the conclusions that can be drawn from this experiment. However, based on the available data, we can infer that there is a difference in output scores between the three conditions, with the medium noise condition recording the lowest scores. However, without additional investigation or experimental manipulation, we are unable to make any judgments about how noise affects output.

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Related Questions

The following equation involves multiple angles. Solve the equation on the interval [0, 2π). cos 4x= 1/2

Answers

[tex]\cos(4x)=\cfrac{1}{2}\implies 4x=\cos^{-1}\left( \cfrac{1}{2} \right)\implies 4x= \begin{cases} \frac{\pi }{3}\\\\ \frac{5\pi }{3} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=\cfrac{\pi }{3}\implies \boxed{x=\cfrac{\pi }{12}}~\hfill 4x=\cfrac{5\pi }{3}\implies \boxed{x=\cfrac{5\pi }{12}}[/tex]

what is μ (∠FNL)? this is crazy stuff

Answers

The angle ∠FNL in the given trapezium shows that ∠FNL is 122°

What are the opposite angles of a trapezium?

The opposite angles of a trapezium are not necessarily equal, unlike in a parallelogram.

However, the opposite angles of a trapezium are supplementary, which means that the sum of one pair of opposite angles equals 180 degrees.

In other words, if we label the angles of a trapezium as F, D, N, and L (with F and L being opposite angles, and D and N being opposite angles), then we have:

∠F + ∠L = 180 degrees

∠D + ∠L = 180 degrees

Thus, ∠FDL + ∠FNL = 180

4x - 14 + 9x - 40 = 180

13x - 54 = 180

13x = 234

x = 18

∠FNL = 9x - 40

∠FNL = 9(18) - 40

∠FNL = 122°

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Change the following equation of a line into slope-intercept form. X =(y-2)÷2​

Answers

Equation in the standard slope-intercept form: y = 2X + 2

What is slope-intercept form?

The slope intercept form of an equation is represented as follows:

y = mx + c

where, m = slope, c = y-intercept

We want to rewrite the equation X = (y - 2) ÷ 2 in slope-intercept form, which is in the form y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate y on one side of the equation by multiplying both sides by 2:

2X = y - 2

Next, let's add 2 to both sides:

2X + 2 = y

Finally, let's switch the sides to get the equation in the standard slope-intercept form:

y = 2X + 2

So the slope of the line is 2 and the y-intercept is 2.

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Which statement is true?

Answers

The correct statement about diagram is m∠1 > m∠4. So correct option is D.

Describe Angles?

In mathematics, an angle is a measure of the amount of rotation between two rays or line segments that share a common endpoint, known as the vertex. The rays or line segments are typically referred to as the sides of the angle.

Angles are usually measured in degrees or radians, with a full rotation or circle being 360 degrees or 2π radians. Angles can be classified into different types based on their degree of rotation, such as acute angles, which are less than 90 degrees, right angles, which are exactly 90 degrees, obtuse angles, which are greater than 90 degrees but less than 180 degrees, and straight angles, which are exactly 180 degrees.

Angles can be added, subtracted, multiplied, and divided, and they can be used to solve a wide range of problems in geometry and trigonometry. For example, angles are used to calculate the measurements of geometric shapes, such as triangles, circles, and polygons, and they are also used to calculate distances and heights using trigonometric functions such as sine, cosine, and tangent.

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(1000y) -1/2 * (3/x+1) when x = 1/3 and y = 1/10

Answers

The value of simplification is 95.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easily with calculations and solving.

Here, we have

Given: (1000y) -1/2 * (3/x+1) when x = 1/3 and y = 1/10

we have to simplify the given expression.

= (1000y) -1/2 * (3/x+1)

When x = 1/3 and y = 1/10

Now we put the value of x and y in the given equation and we get

=  (1000/10) -1/2 × (3×3+1)

= 100 - 10/2

= 100 - 5

= 95

Hence, the value of simplification is 95.

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Kayne runs a specialty running store. Last year, he earned $50,000 in revenue and had explicit costs of $20,000. Kayne could have made $42,000 selling video games on the Internet and received an additional $5,000 if he rented out the store and equipment. Calculate Kayne’s implicit costs.

Answers

We can start by using the formula for calculating economic profit:

economic profit = total revenue - explicit costs - implicit costs

We are given that Kayne earned $50,000 in revenue and had explicit costs of $20,000. We also know that if he had sold video games on the Internet, he could have made $42,000, and if he had rented out the store and equipment, he could have received an additional $5,000. These represent the opportunity costs of running his specialty running store.

So, we can calculate Kayne's implicit costs as follows:

implicit costs = opportunity cost of selling video games + opportunity cost of renting out the store and equipment

implicit costs = $42,000 + $5,000

implicit costs = $47,000

Now, we can substitute this value into the economic profit formula:

economic profit = $50,000 - $20,000 - $47,000

economic profit = -$17,000

The negative value indicates that Kayne did not earn a positive economic profit, meaning that his explicit and implicit costs were greater than his revenue.

How do you convert 72 kilograms to pounds? show the mathmatical steps

Answers

To convert kilograms to pounds, you can use the following formula:

1 kilogram = 2.20462 pounds

To convert 72 kilograms to pounds, you can multiply 72 by 2.20462 as follows:

72 kilograms = 72 x 2.20462 pounds
72 kilograms = 158.73264 pounds (rounded to five decimal places)

Therefore, 72 kilograms is equal to approximately 158.73264 pounds.

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6. Find the first three terms of the expansion of the following in acceding powers of
x
 
2
1
2
x
x

Answers

The first three terms in decreasing powers of X are as follows.

x5−10x4X−1+40x3X−2+…

What are functions?

A relation is any subset of a Cartesian product.

As an illustration, a subset of is referred to as a "binary connection from

A to B," and more specifically, a "relation on A."

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.

Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).

A function is only represented by a graph, which is a collection of all ordered pairs (x, f (x)).

Every function, as you can see from these definitions, is a relation from X.

Hence, The first three terms in decreasing powers of X are as follows.

x5−10x4X−1+40x3X−2+…

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PLEASE ANSWER THIS ASAP What is the exact surface area of a cylindrical propane tank with a radius of 1 m and a height of 10 m?



2π m²



20π m²



22π m²



24π m²

Answers

22π  m²  is the exact surface area of a cylindrical propane tank.

What are volume and surface area?

The entire area of all the faces makes up the surface area of a three-dimensional form. We measure the areas of each face and put them together to determine the surface area of a shape.

                    The surface-area-to-volume ratio, also known as the surface-to-volume ratio or abbreviated as SA:V, refers to how much surface area there is in each unit volume of an object or collection of objects.

A=2πrh+2πr²

 =2π * 1* 10 +2π* 1²

  = 2π( 10 + 1)

  = 2π * 11

  = 22π  m²

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the area of a table top is a whole number of square feet. Could the length and width be decimal numbers each one with decimal place?

Answers

Yes, the length and width can be decimal numbers each one with decimal place, but not in every case.

Define area

The size of a two-dimensional surface or region is expressed in terms of area. Square units like square inches, square feet, or square metres are frequently used to measure it. The area of a shape or region is determined by counting the number of unit squares that can fit inside it without overlap.  

for example, lets take length =2.5 feet

and width=3.2 feet

area of table top=8 feet²

Taking another case:

length =1.2 feet

and width=3.5 feet

area of table top=4.2 feet²

if the length and width are decimal numbers, then the area would also be a decimal number or whole number, But, this is not possible in every cases.

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The complete question is:

The area of Kamar’s tabletop is a whole number of square feet. Could the length and width be decimal numbers each with one decimal place? Explain your answer.

A pool can be filled by one pipe in 4 hours and by a second pipe in 5 hours. How long will it take using both pipes to fill the pool?

Answers

Step-by-step explanation:

Rate A = 1 pool / 4 hrs = 1/4 pool/hr

Rate B = 1 pool / 5 hrs = 1/5 pool / hr

Now combine the rates to fill 1 pool

1 pool / ( 1/4 pool/hr + 1/5 pool / hr) = 1 / ( 1/4 + 1/5)  hr = 2.22 hrs

  ( or  2 hrs 13.3 min)

Part 1
Use the Pythagorean theorem to find the unknown side of the right triangle.

Answers

Answer:

Hypotenuse length = 37

Step-by-step explanation:

According to the question we are given with a right traingle Where base is 35 and the perpendicular is 12.

We need to find the unknown side that is the longest side (Hypotenuse) .

By using pythagoras theorem :

[tex]\longrightarrow \rm \: \: (H)^2 = (B)^2 + (P)^2 \\ [/tex]

here,

H represents hypotenuseB represents base P represents Perpendicular.

Putting the required values in the Pythagoras theorem we will get,,

[tex]\longrightarrow \rm \: \: (H)^2 = (35)^2 + (12)^2 \\ \\ \longrightarrow \rm \: \:(H)^2 =1225 + 144 \\ \\ \longrightarrow \rm \: \:(H)^2 = 1369 \\ \\ \longrightarrow \rm \: \:H = \sqrt{1369} \\ \\ \longrightarrow \rm \: \:H = 37 \\ [/tex]

Therefore, Unknown side of the right triangle i.e hypotenuse is 37 .

In a large population of nurses, suppose 20% of the nurses would prefer the night shift. If a random sample of 10 nurses is taken, what is the probability less than 3 are nurses that prefer the night shift?

Answers

This is a binomial probability problem with n = 10, p = 0.2, and we need to find the probability that less than 3 nurses prefer the night shift.

We can use the binomial probability formula:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

where X is the number of nurses in the sample who prefer the night shift.

Using the binomial probability formula, we can calculate:

P(X = 0) = (10 choose 0) * 0.2^0 * 0.8^10 = 0.1074
P(X = 1) = (10 choose 1) * 0.2^1 * 0.8^9 = 0.2684
P(X = 2) = (10 choose 2) * 0.2^2 * 0.8^8 = 0.3019

Therefore,

P(X < 3) = 0.1074 + 0.2684 + 0.3019 = 0.6777

The probability that less than 3 nurses in the sample prefer the night shift is approximately 0.6777 or 67.77%.

A circular path 2feet wide has an inner diameter of 550 feet . How much farther is it around the outer edge of the path than around the inner edge?

Answers

Answer:

[tex]L_c=12.56 \ \text{feet}[/tex]

Step-by-step explanation:

From the question we are told that

Width of circular path [tex]w_c=2 \ \text{feet}[/tex]

Inner Diameter [tex]d_{in}=550 \ \text{feet}[/tex]

Outer diameter [tex]d_{out}=550+2\times2[/tex]  (inner diameter +  2 circular path width)

[tex]d_{out}=550+4[/tex]

[tex]d_{out}=554 \ \text{feet}[/tex]

Generally the equation for inner circumference of the circle  is mathematically given by

[tex]C_1=\pi d_{in}[/tex]

[tex]C_1=3.14\times550[/tex]

[tex]C_1=1727 \ \text{feet}[/tex]

Generally the equation for outer circumference of the circle  is mathematically given by

[tex]C_2=\pi d_{out}[/tex]

[tex]C_2=3.14\times554[/tex]

[tex]C_2=1739.56 \ \text{feet}[/tex]

Generally the difference in length of the two circumference  is mathematically given by

[tex]L_c=C_2-C_1[/tex]

[tex]L_c=1739.56-1727[/tex]

[tex]L_c=12.56 \ \text{feet}[/tex]

Find the interest rate for the given deposit and compound amount.
$4000 accumulating to ​$​5994.75, compounded monthly for 7 years.

Answers

Answer:

The interest rate is 5.79% (to the nearest hundredth).

Step-by-step explanation:

To find the interest rate for the given deposit of $4000 accumulating to ​$5994.75, compounded monthly for 7 years, use the compound interest formula.

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = Final amount.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Time (in years).

Given values:

P = $4,000A = $5,994.75n = 12 (monthly)t = 7 years

Substitute the given values into the formula and solve for r.

[tex]\implies \sf 5994.75=4000\left(1+\dfrac{r}{12}\right)^{12 \times 7}[/tex]

[tex]\implies \sf 5994.75=4000\left(1+\dfrac{r}{12}\right)^{84}[/tex]

[tex]\implies \sf \dfrac{5994.75}{4000}=\left(1+\dfrac{r}{12}\right)^{84}[/tex]

[tex]\implies \sf \sqrt[\sf 84]{\sf \dfrac{5994.75}{4000}}=1+\dfrac{r}{12}[/tex]

[tex]\implies \sf \sqrt[\sf 84]{\sf \dfrac{5994.75}{4000}}-1=\dfrac{r}{12}[/tex]

[tex]\implies \sf r=12\left(\sqrt[\sf 84]{\sf \dfrac{5994.75}{4000}}-1\right)[/tex]

[tex]\implies \sf r=0.057937950...[/tex]

[tex]\implies \sf r=5.7937950...\%[/tex]

Therefore, the interest rate is 5.79% (to the nearest hundredth).

Please Hurry!!


Which polar coordinates represent the point plotted on the graph? Select all that apply and explain your answer.

Answers

Answer:

D

[tex]3. \frac{11\pi}{6} [/tex]

Step-by-step explanation:

When we determine the point's coordinates, first we have to write the polar ones (they are on the horizontal line) and then the south ones (they are around the circle)

I think this is the right answer

Of 10 test​ scores, seven are less than or equal to 85. What is the percentile rank of a test score of 85​?

Answers

Thus, the percentile rank of just an 85 on a test is: 70 percentile for the given test​ scores.

Explain about the Percentile?

A percentile in statistics refers to a score's position in relation to other scores in a given set. Although percentile has no one fixed meaning, it is frequently described as the proportion of numbers within a collection of data scores that are lower than a particular value.

Percentile shows the proportion of persons who fall below a given value. When we declare that a score of 365 out of 400 represents the 90% percentile on an exam, it means that 90% of test-takers received scores that were lower than or equal to 365.

Give: Seven of the ten test results are inside the 85th percentile.

The percentage of those who received less than or equal to 85 is just as follows: 7/10 = 0.7.

percentile rank:

0.7*100 = 70

Thus, the percentile rank of just an 85 on a test is: 70 percentile for the given test​ scores.

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100 points!!
f (x) = −√x + 2 + 3

Fully explain the three transformations required to produce this function from the

parent function.

Answers

Answer: the first thing is your answer :)

thx for the points

Step-by-step explanation:

g

(

x

)

=

x

2

3

The parent function is the simplest form of the type of function given.

f

(

x

)

=

x

2

The transformation being described is from

f

(

x

)

=

x

2

to

g

(

x

)

=

x

2

3

.

f

(

x

)

=

x

2

g

(

x

)

=

x

2

3

The horizontal shift depends on the value of

h

. The horizontal shift is described as:

g

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left

h

units.

g

(

x

)

=

f

(

x

h

)

- The graph is shifted to the right

h

units.

In this case,

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of

k

. The vertical shift is described as:

g

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up

k

units.

g

(

x

)

=

f

(

x

)

k

- The graph is shifted down

k

units.

Vertical Shift: Down

3

Units

The graph is reflected about the x-axis when

g

(

x

)

=

f

(

x

)

.

Reflection about the x-axis: None

The graph is reflected about the y-axis when

g

(

x

)

=

f

(

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of

a

.

When

a

is greater than

1

: Vertically stretched

When

a

is between

0

and

1

: Vertically compressed

Vertical Compression or Stretch: None

Compare and list the transformations.

Parent Function:

f

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: Down

3

Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

image of graph

please help me on this question​

Answers

Answer:To calculate how much money Evie will owe after 12 years, we need to use the formula:A = P(1 + r)^nWhere:

A = the amount owed after n years

P = the initial amount borrowed

r = the annual interest rate as a decimal

n = the number of yearsIn this case, P = £600, r = 24% = 0.24, and n = 12. Plugging these values into the formula, we get:A = 600(1 + 0.24)^12

A = 600(1.24)^12

A = 600(7.8905)

A = £4,734.30 (rounded to the nearest penny)Therefore, after 12 years, Evie will owe approximately £4,734.30

Step-by-step explanation: I Helped you Can You help me

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTSp

Answers

Answer:

f(x) = 3x-5

Step-by-step explanation:

Plug in the domain 0, in the other answer options

f(x) = -3x + 4 turns into f(x) = -3(0) + 4 and thats equal to 4, there is no value set to 4 in the range so that option is cancelled out

f(x) = x+2 turns into f(x) = 0+2 =2, there is no value set to 2 in the range so that option is cancelled out

f(x) = -5x + 3 turns into f(x) = -5(0) + 3, and thats equal to 3, there is no value set to 3 in the range so that option is cancelled out

f(x) = 3x-5 turns into f(x) = 3(0) - 5, and thats equal to -5, there is a value in the range that equals -5, you could also try any domain value into this equation and it would result into either -11, -5, 1, 7, or 13.

keep in mind f(x) is the range

A tank in the shape of a hemisphere has a diameter of 12 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

In linear equation, 1161.8 lb is the total weight of the liquid in the tank, to the nearest full pound.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                         Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

d = 12 ft

r = 12 ft/2 = 6 ft

volume of sphere = (4/3)πr³

volume of hemisphere = (1/2)(4/3)πr³

volume = (2/3)π(6 ft³) =  12.56 ft³

weight = volume × density

weight = 12.56 ft³ × 92.5 lb/ft³

weight = 1161.8 lb

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A business organization needs to make up a 8 member fund-raising committee. The organization has 6 accounting majors and 7 finance majors. What is the probability that at least 4 accounting majors are on the committee?
a) 0.4079
b) 0.0171
c) 0.1795
d) 0.0163
e) 0.5874

Answers

The probability that at least 4 accounting majors are on the committee is E. 0.5874.

How to find the probability

Probability operates on the principle of dividing the number of expected outcomes by the number of total outcomes. To find the probability that at least 4 accounting majors are on the committee, we can begin by determining the probability of having exactly 4, 5, 6, and 7 accounting majors on the committee. After finding these probabilities, we can then sum up the figures.

First, the total number of ways to choose 8 members from a group of 6+7=13 is:

13! / (8! * 5!) = 1287

Next, we will find the number of ways to choose exactly 4 accounting majors and 4 finance majors is:

6 choose 4 * 7 choose 4 = 15 * 35 = 525

Also, the number of ways to choose exactly 6 accounting majors and 2 finance majors is:

6 choose 6 * 7 choose 2 = 1 * 21 = 21

Finally, the number of ways to choose exactly 7 accounting majors and 1 finance major is:

6 choose 7 * 7 choose 1 = 0 * 7 = 0

Now, we will sum the total number of ways to choose a committee with at least 4 accounting majors as follows:

525 + 210 + 21 + 0 = 756

756 / 1287 = 0.587

Therefore, the probability of selecting a minimum of 4 accounting majors is thus 0.5874.

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(+2).(-4).(-1).(+7)=
(-5).(-6).(+3)=

Answers

Answer:

4 and the second one -8

Step-by-step explanation:

in the first one you have to 2 and take away 4 so you get a negative number and the you take one more number and then add 7

in the second one you have -5 and then take away 6 and then add 3

Solve the equation 101 = k +33 for k
K=

Answers

Answer:

101 = k + 33

101 - 33 = k + 33 - 33

68 = k

this is your required answer

Please help with this

Answers

i believe this is correct

for both of these graphs i need help finding the equations of the functions

also need help describing the transformation from its parent function (both graphs)

(120 points)

Answers

The equations of the transformed graphs are f(x) = -√(x - 2) and f(x) = -(x + 3)² - 1, while the descriptions are added below

How to describe the functions from the parent function and the equation

Graph 1

This function is a square root function

The parent function is the square root function, which is denoted as

f(x) = √x

The function is first reflected across the x-axis to give

f(x) = -√x

Next, the function is shifted to the right by 2 units

So, we have

f(x) = -√(x - 2)

This means that the function description is a reflection about the x-axis. followed by a horizontal shift to the right by 2 units

Graph 2

This function is a quadratic function

The parent function is the square root function, which is denoted as

f(x) = x²

The function is first reflected across the x-axis to give

f(x) = -x²

Next, the function is shifted down and left by 1 and 3 units respectively

This means that

f(x) = -(x + 3)² - 1

This means that the function description is a reflection about the x-axis. followed by a horizontal shift to the down and left by 1 and 3 units

Read more about transformation at

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HELP PLEASE I DO NOT UNDERSTAND THIS

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The simplified expression for x+2x-8+3x+1-2x is 4x - 4.

What is expression?

Expression is a term used to describe a wide variety of communication methods such as verbal, nonverbal, written, and artistic. It is the way we communicate our thoughts, feelings, and ideas to others. It is an important part of our lives, from the simplest forms of communication like body language to more complex forms like written literature. Expression is a powerful tool for self-expression, communication, and connection.

The expression x+2x-8+3x+1-2x can be simplified by combining like terms.

First, the x-terms can be combined, resulting in 4x:
x + 2x + 3x - 2x = 4x

Next, the remaining constants can be combined, resulting in -4:
4x - 8 + 1 = -4

Finally, the resulting expression can be written as 4x - 4.

Therefore, the simplified expression for x+2x-8+3x+1-2x is 4x - 4.

To know more about expression click-
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please answer it asap.

Answers

Answer:

8^2

Step-by-step explanation:

Friends ordered a large circular pizza of a certain diameter, however the diameter of the baked pizza was 10% smaller than the one ordered. By the way percentage of the area of ​​the cooked pizza is smaller than the one ordered?​

Answers

Answer:

19% smaller

Step-by-step explanation:

A=πr^2

r=d/2

A=pi(d/2)^2

A=pi(.9d/2)^2=

81% of original

100%-81%=19%=Give this answer a like!

Name two pairs of adjacent angles.​

Answers

Answer:

the definition of adjacent mathematically means two angles if they have a common side and a common vertex.

Step-by-step explanation:

a would b adjacent to d. c would be adjacent to d.

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