Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

Answers

Answer 1

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that [tex]\mu = 5.2r[/tex], in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

[tex]P(X \geq 1) = 1 - P(X = 0) = 0.99[/tex]

Thus:

[tex]P(X = 0) = 1 - 0.99 = 0.01[/tex]

We have that:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}[/tex]

Then

[tex]e^{-5.2r} = 0.01[/tex]

[tex]\ln{e^{-5.2r}} = \ln{0.01}[/tex]

[tex]-5.2r = \ln{0.01}[/tex]

[tex]r = -\frac{\ln{0.01}}{5.2}[/tex]

[tex]r = 0.89[/tex]

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at https://brainly.com/question/24098004


Related Questions

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Un bus parte del reposo con una aceleración de 3,2 m/s2 y en ese mismo momento a 2 km de distancia, sale otro en sentido opuesto, también partiendo del reposo pero con una aceleración de 6,5 m/s2. Calcular la distancia y el momento de encuentro.


Dos vehículos separados por 1300 m parten al encuentro en el instante t=0. El primero lo hace con una velocidad inicial constante de 15 km/h. El segundo parte desde el reposo y con una aceleración de 1,2 m/s2. ¿A qué distancia de la salida del primer vehículo se encuentran?


Un automóvil se desplaza por una carretera que es paralela a la vía de un metrotren. El automóvil se detiene ante un semáforo que está con luz roja en el mismo instante que pasa un metrotren con una rapidez constante de 14 [m/s]. El automóvil permanece detenido durante 8 s y luego parte con una aceleración constante de 2,5 [m/s2 ]. Determine:

a)El tiempo que emplea el automóvil en alcanzar al metrotren, medido desde el instante en que se detuvo ante el semáforo.

Un micro parte del reposo y acelera a razón de 1,4 m/s2 . En este instante un pasajero que desea abordarlo, se encuentra a 12 [m] por detrás de la puerta y corre con una velocidad constante de 5 m/s.

a) Determinar si el pasajero alcanza o no al micro


Salva mi trimestre

Answers

Answer:

la respuesta es la primera ( a )

Step-by-step explanation:

Surface Area of cones
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.

Answers

9514 1404 393

Answer:

  64.1 ft²

Step-by-step explanation:

The area of the cone is given by ...

  A = πr(r +h) . . . . for radius r and slant height h

  A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²

the length of a piece of steel is 10 metres and its width is 4 metres. What is the ratio of its length to width?​

Answers

Answer:

10:4

or

5:2

Step-by-step explanation:

Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coefficient of x is 1.
..?.. = 0.

Answers

The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.

The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is

x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0

x - (y - 4) + (z - 4) = 0

x - y + z = 0

Help me plz plz help me with this question

Answers

Answer:

6 97/100 bags

Step-by-step explanation:

4 1/10 ⋅ 1 7/10 = ?

41/10 ⋅ 17/10 = 697/100

697/100 = 6 97/100

6 97/100 bags

Answer:

697/100 bags

or

6 97/100 bags

Step-by-step explanation:

it is fractions. just plain and simple.

when you eat a pizza slice, it is usually one of 8 slices that make the whole pizza. 1/8 or one 8th. meaning that the whole thing is 8/8 or eight 8ths.

the same for 10ths or any other fractions.

4 1/10 bags = 41/10 bags

1 7/10 times = 17/10 times

and now we multiply fractions, as 17/10 times is similar to 2 times or 3 times something - we multiply by this factor.

41/10 × 17/10

as we learned in early elementary school : numerators (top part of the fraction) are multiplied with each other, and denominators (bottom part) are multiplied with each other. and then we simplify the result as much as possible.

41/10 × 17/10 = (41×17) / (10×10) = 697/100

no simplification is possible, sadly.

but that means he used almost 7 bags of hot dog buns.

exactly 6 full bags and 97/100 of the 7th bag.

so, either

697/100 bags

or

6 97/100 bags

or as alternative (not wanted here in this example but just FYI)

6.97 bags

I need help on this problem​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

(a) The graph is scaled by a factor of 2, and shifted up 1 unit. The scaling moves each point away from the x-axis by a factor of 2. The points on the x-axis stay there. The translation moves that scaled figure up 1 unit.

__

(b) The graph is reflected across the x-axis and shifted right 4 units. The point on the x-axis stays on the x-axis.

In AABC, mZA = 27°, c = 14, and mZB = 25°. Find a to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

b) An achievement test was administered to a class of 20,000 students. The mean score was 80 and the standard deviation was 11. If Lingard scored 72 in the test, how many students did better than him

Answers

Answer: 15328

Step-by-step explanation:

The following can be deduced from the information given:

N = 20000

μ = 80

σ = 11

P(X>72) = 1 - P (X<72)

= 1 - P(Z < 72-80/11)

= 1 - P(Z < -8/11)

= 1 - P(Z < 0.7272)

= 1 - 0.2336 = 0.7664

Therefore, the number of students that were better than Lingard n(X > 72) will be:

= 20000 × 0.7664

= 15328

Write the equation of the line that passes through the points (0, 4) and (- 4, - 5) . Put your answer in fully reduced slope intercept form , unless it is a vertical or horizontal line

Answers

Answer:

y=9/4x+4

Step-by-step explanation:

Start by finding the slope

m=(-5-4)/(-4-0)

m=-9/-4 = 9/4

next plug the slope and the point (-4,-5) into point slope formula

y-y1=m(x-x1)

y1=-5

x1= -4

m=9/4

y- -5 = 9/4(x - -4)

y+5=9/4(x+4)

Distribute 9/4 first

y+5=9/4x + 9

subtract 5 on both sides

y=9/4x+4

If two bags of popcorn and three drinks cost $14,
and four bags of popcorn and one drink costs
$18, how much does a drink cost?

Answers

Answer:

2dollars

Step-by-step explanation:

one bag of popcorn is 4 dollars so 4 bags of popcorn is 16 plus 1 drink which is 2 dollars equal 18.

The cost of each popcorn is $4 and the cost of each drink will be $2.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18.

Let the cost of each popcorn be 'x' and the cost of each drink be 'y'. Then the equations are given as,

2x + 3y = 14           ...1

4x + y = 18            ...2

From equations 1 and 2, then we have

2x + 3(18 - 4x) = 14

2x + 54 - 12x = 14

10x = 40

x = $4

Then the value of the variable 'y' is calculated as,

y = 18 - 4(4)

y = 18 - 16

y = $2

The cost of each popcorn is $4 and the cost of each drink will be $2.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

The picture shows the graph of the movement of a pedestrian (B) and a bicyclist (A). Using the graph, answer the following questions: How many times is the distance covered by the bicyclist for 1 hour greater than the distance covered by the pedestrian for the same amount of time

Answers

Answer:

15km

Step-by-step explanation:

hope it is well understood

Operaciones con funciones Suma, resta, multiplicación y división
F(x) 6x+2
G(x) 3x-2
AYUDAAA

Answers

Answer:

let us do one night

Step-by-step explanation:

Agg-77182882

(#(+2+

find the value of the trigonometric ratio. make sure to simplify the fraction if needed.

Answers

Answer:

36/39

Step-by-step explanation:

Cos(theta) = Base/Hypotenuse

Cos(X) = 36/39

Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?

Answers

Answer:

C

Step-by-step explanation:

To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct

A)

x=-4, y=2

-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8

x=0, y=8

-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0

B)

x=8, y=0

-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative

x=2, y=3

-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.

C)

x=0, y=4

-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works

x=4, y=6

-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.

D)

x=-2, y=5

-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16

x=-8, y=0

-2x+4y = -2 * (-8) + 4 *  (0) = 16. This works, but the other pair does not work, so D is incorrect

Answer:

C

Step-by-step explanation:

Edge 2022

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 401 drivers and find that 294 claim to always buckle up. Construct a 90% confidence interval for the population proportion that claim to always buckle up. Use interval notation, for example, [1,5].

Answers

Answer:

[0.6969, 0.7695]

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 401 drivers and find that 294 claim to always buckle up.

This means that [tex]n = 401, \pi = \frac{294}{401} = 0.7332.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.7332 - 1.645\sqrt{\frac{0.7332*0.2668}{401}} = 0.6969[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.7332 + 1.645\sqrt{\frac{0.7332*0.2668}{401}} = 0.7695[/tex]

The 90% confidence interval for the population proportion that claim to always buckle up is [0.6969, 0.7695]

please explain it step by step​

Answers

6 is in the thousandth (1000) place

Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 75 GPa and 1.7 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)

Required:
a. Calculate P(79 <= P <= 81) when n = 25.
b. How likely is it that the sample mean diameter exceeds 81 when n = 36?

Answers

Answer:

a) P(79 <= P <= 81) = 0.9968

b) P( X >  81 ) = 0.0002

Step-by-step explanation:

mean value = 75 GPa

standard deviation = 1.7 GPa

a) Determine P(79 <= P <= 81)

given that : n = 25

attached below is the detailed solution

P(79 <= P <= 81) = 0.9968

b) Determine how likely the sample mean diameter will exceed 81

given that n = 36

mean diameter = 81

P( X >  81 ) = 0.0002

Determine the volume of the shaded region?

Answers

Answer:

volume of shaded region = 112.94 [tex]cm^{3}[/tex]

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^{2}h[/tex]

volume = 22/7 * [tex]2.5^{2}[/tex] * 14.6

volume = 286.67 [tex]cm^{3}[/tex] approx

volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

volume = [tex]\frac{4}{3} *\frac{22}{7}*2.4^{3}[/tex]

volume= 57.91 [tex]cm^{3}[/tex] approx

No, of sphere = 3

Volume of 3 sphere = 3 * 57.91

                                 =173.73 [tex]cm^{3}[/tex]

Now , volume of shaded region = volume of cylinder - total volume of sphere

volume of shaded region = 286.67 - 173.73

                                          =112.94 [tex]cm^{3}[/tex]

An airline charges the following baggage fees: $20 for the first bag and $40 for the second. Suppose 54% of passengers have no checked luggage, 25% have only one piece of checked luggage and 21% have two pieces. We suppose a negligible portion of people check more than two bags.
a) The average baggage-related revenue per passenger is: $___.
b) The standard deviation of baggage-related revenue is: $____.
c) About how much revenue should the airline expect for a flight of 120 passengers?

Answers

what are you suppose to do here ?

Click on the picture for the answer

Answers

Answer:

the answer is 1/14

hope this helps you

9514 1404 393

Answer:

  (a)  1/14

Step-by-step explanation:

Fractions are multiplied by multiplying numerators and denominators. They are reduced by cancelling common factors. When a product has an even number of minus signs, it is positive.

  [tex]\left(-\dfrac{3}{7}\right)\cdot\left(-\dfrac{1}{6}\right)=\dfrac{(-3)(-1)}{7\cdot6}=\dfrac{3}{7\cdot2\cdot3}=\dfrac{1}{7\cdot2}=\boxed{\dfrac{1}{14}}[/tex]

Madison represented the sentence "The product of 3 and the difference of and the quotient of a number and is at most 5" by using the inequality . Which best describes Madison’s error?a) The difference of –4 and the quotient of a number and –2" should be written as . b) The product of 3 and the difference of –4 and the quotient of a number and –2" should be written as . c) The less than symbol should be replaced with the less than or equal to symbol. d) The less than symbol should be replaced with the greater than symbol.

Answers

Answer:

c) The less than symbol should be replaced with the less than or equal to symbol.

Step-by-step explanation:

3(-4 - n/-2) < 5

The equation written above could be interpreted as :

The product of 3 and the difference of -4 and the quotient of a number, n and -2 is less than 5

This means that the only error in Maddison's representation is the inequality sign, the inequality sign used by Maddison is wrong.

The equation should be used with a ≤ sign and expressed thus :

3(-4 - n/-2) ≤ 5

This means the left hand side (L. H. S) is less than or equal to 5 ; this means the L. H. S is at most 5

Answer:

C

Step-by-step explanation:

An economics instructor would like to test the theory that spraying lavender essential oil in a room while studying will improve test scores. One group of participants studies in a room that releases 2 ounces of lavender every 3 to 4 hours. The second group studies in a room that does not release any essential oils. Both groups study the same amount of time leading up to all course exams. The instructor records the number of points each group gets on a total of 4 exams during a 5 week summer course. What is the dependent variable?
a. Number of ounces of lavender sprayed every 3 to 4 hours.
b. The number of weeks of the course.
c. If students are allowed to use open notes.
d. The average exam scores for each group.

Answers

Answer:

d. The average exam scores for each group.

Step-by-step explanation:

The dependent variable, also called the measured or predicted variable is the variable which is being tested or measured in an experiment. It is the variable with which an experiment is being conducted. The outcome of the dependent variable however, relies on another variable called the independent variable.changes in the independent variable affects the outcome of the dependent variable. In the scenario above, the dependent variable is the average exam scores obtained which depends on how the amount of lavender sprayed brings an effect. Ounces of lavender sprayed is the independent variable.

What is the inverse of the equation y
31 – 2?

Answers

Answer:

The inverse is (x+2)/3

Step-by-step explanation:

y = 3x-2

To find the inverse, exchange x and y

x = 3y-2

Solve for y

Add 2 to each side

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

(x+2)/3 = 3y/3

(x+2)/3 = y

The inverse is (x+2)/3

A bird that was perched atop a 15-foot tree dives down six feet to a branch below. How
the bird's new location?

Answers

Answer:

I will b you and your 5AM 88feet

Gant Accounting performs two types of services, Audit and Tax. Gant’s overhead costs consist of computer support, $267000; and legal support, $133500. Information on the two services is:
(See screenshot)

Answers

Answer:

$240,300

Step-by-step explanation:

Given :

Overhead cost :

Computer support = $267000

legal support = $133500

Overheads applied to audit services = (Number of CPU minutes used by Audit services * activity rate per CPU minute)

+

(number of legal hours used by Audit services * activity rate per legal hour)

The overhead applied to audit is thus :

40,000 * (267,000 / (40,000 + 10,000)) +

200 * (133500 / (200 + 800)

(40000 * 5.34) + (200 * 133.5)

= $240,300

Which transformations are needed to change the parent sine function to y = one-fourth sine (4 (x + StartFraction pi Over 6 EndFraction))? vertical stretch of One-fourth, horizontal stretch to a period of 2p, phase shift of StartFraction pi Over 6 EndFraction units to the left vertical compression of One-fourth, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of StartFraction pi Over 6 EndFraction units to the left vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of StartFraction pi Over 6 EndFraction units to the right vertical compression of 4, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 6 EndFraction units to the right

Answers

Answer: Option B is correct

Step-by-step explanation: edge 2021

Answer:

b

Step-by-step explanation:

Find the missing length indicated

Answers

Answer:

x = 960

Step-by-step explanation:

x=√{576×(576+1024)}

or, x = √(576×1600)

or, x = √576×√1600

or, x = 24×40

or, x = 960

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

The picture shows the graphs of the movement of a pedestrian (B) and a bicyclist (A) . Using the graphs, answer the following questions:

How many times is the distance covered by the bicyclist for 1 hour greater than the distance covered by the pedestrian for the same amount of time?

Answers

Answer:

15km

Step-by-step explanation:

hope it is well understood?

Answer:

5 times.

Step-by-step explanation:

First, look at the values of each line at the 1-hour mark.

For line A (the bicyclist), the distance is about 25 km.

For line B (the pedestrian), the distance is about 5 km.

To determine how many times greater the bicyclist distance is than the pedestrian, divide the values:

[tex]\frac{25\text{km}}{5\text{km}}=5[/tex]

Therefore, the distance covered by the bicyclist for 1 hour is 5 times greater than the distance covered by the pedestrian for the same amount of time.

Steve and Herb are choosing seats at the baseball stadium.
The seats are numbers like a coordinate grid. Steve
chooses the seat at (1, 2). If Herb does not want to sit in the
same vertical or horizontal row as Steve's seat, which seat
should he choose?
OA) (0,2)
B) (0,1)
C) (1,0)
OD) (-1,2)

Answers

The x value should not contain the number 1, so we can eliminate choice c, the y value should not contain the number 2 so we can Eliminate option A and D. The only we one we have not eliminated is B, and it follows the rules of not having 1 in the x value or 2 in the y value. Therefore ur answer is option B! Hope this helps! Pls give brainiest. Thank you!

The solution is: B) (0,1) is the seat should he choose.

What is coordinate?

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.

here, we have,

given that,

Steve and Herb are choosing seats at the baseball stadium.

The seats are numbers like a coordinate grid. Steve chooses the seat at (1, 2).

If Herb does not want to sit in the same vertical or horizontal row as Steve's seat.

now, we have,

in the same vertical or horizontal row means The x value should not contain the number 1, and, the y value should not contain the number 2 .

now, we get,

The x value should not contain the number 1, so we can eliminate choice c,

the y value should not contain the number 2 so we can Eliminate option A and D.

The only we one we have not eliminated is B,

and it follows the rules of not having 1 in the x value or 2 in the y value.

Therefore the answer is option B.

Hence, The solution is: B) (0,1) is the  seat should he choose.

learn more on coordinate:

https://brainly.com/question/10499315

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Determine the equation for each of the following parabolas described with

a) zero values of -4 and 8 and a maximum value of 4

b) Vertex of (2,5) and through point A (7,2).

Answers

Answer:

honestly i dont know but i bet someone will

Other Questions
Your home insurance provides for replacement value for personal property losses. A microwave is stolen. It cost $258 two years ago and has an expected life of six years. A comparable microwave costs $366 today. What amount will the insurance company pay Given the following linear function, sketch the graph of the function and find the domain and range.f(x) = -5x+ 4 difference between the state and the government What form of genetic drift occurs fromadaptive radiation?A. Founder EffectB. Disruptive SelectionC. Coevolution convert mixed fraction 2 1/8 into fraction Select the correct text in the passage.Edward, in the passage, is known for his honesty and hardworking attitude, until one day a stranger leaves a sack of money with his wife for safekeepingWhich detail in the excerpt best highlights the moral transformation that Edward undergoes?The Man that corrupted Hadleyburgby Mark Twain (adapted excerpt)At eleven Edward arrived, and while his wife was saying "I am so glad you've comer" he was saying, "I am so tired-tired clear out it is dreadfulto be poor, and have to make these dismal Journeys at my time of life. Always at the grind, grind, grind, on a salary, and he sitting at home in hisslippers, rich and comfortable.""I am so sorry for you, Edward, you know that; but be comforted; we have our livelihood, we have our good name-""Yes, Mary, and that is everything. Don't mind my talk-It's just a moment's irritation and doesn't mean anything. Kiss me--there, it's all gonenow, and I am not complaining any more. What have you been getting? What's In the sack?"Then his wife told him the great secret. It dazed him for a moment; then he said: "it welghs a hundred and sixty pounds?Why, Mary, It's forty thousand dollars--think of it-a whole fortunel Not ten men in this village are worth that much. Give me the paper." Heskimmed through it and said: "Isn't it an adventurel Why, It's a romance; It's like the Impossible things one reads about in books, and never seesIn life." He was well stirred up now, cheerful, even gleeful. He tapped his old wife on the cheek, and said humorously, "Why, we're rich, Mary.rich; all we've got to do is to bury the money and burn the papers. If the gambler ever comes to Inquire, we'll merely look coldly upon him andsay: "What is this nonsense you are talking? We have never heard of you and your sack of gold before," and then he would look foolish, andResetNext What are the restrictions on the domain of the following function?f(x)=x-3/(x-3)(x-4)(x-5) Please help me. Iron-55 has a half-life of 3 years. How much of a 40 gram sample will remain after 12 years? A. 0 grams B. 4 grams C. 2.5 grams D. 20 grams why does the washington belive that just asking the british governmnet to reduce taxes is the wrong course of action? Help me wegnerkolmp2741o Question 2 Multiple Choice Worth 1 points)(02.05 MC)Graph g(x), where f(x) = 4x - 2 and g(x) = f(x + 1). A group of people standing in front of a building. The people and building in the foreground are larger than the people and building in the background. A man in a red cape stands above the crowd with his arm pointing toward the center of the painting.Describe two elements of the above painting that the artist included to create perspective? What are the different parts of a microscope? What's the direction verb?Imagine you are Dr. Rugh and you have been invited to speak to middle school students on Career Day about a typical day at the clinic. Write a letter to the principal of the school in which you explain what you will talk about to the students. Use three details and/or examples from the passage in your letter prove ||a+b|| ||a||+|b|| Who was Ignatius Loyola?a nobleman who joined the church and founded the Jesuitsa monk who traveled to Asia as a missionarya pope who called the Council of Trenta Protestant who convinced the Catholic Church to reform Identify the segments that are parallel, if any, if DCB and CDA are supplementary. What things can you do to make self-improvement after identifying your weakness? Mr Rai sale a watch for Rs 2035 a profit of 10% how much money has he paid to buy the also find his profit amount