what is the probability that headway is within 1 standard deviation of the mean value? (round your answer to three decimal places.)

Answers

Answer 1

There is a 0.890 percent chance that headway will be within one standard deviation of the mean.

The mean value is what?

The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers.

The sum of all possible values, weighted by the likelihood of each value, constitutes the mean of a discrete probability distribution of the random variable X. Each possible value of X must be multiplied by its probability, P(x), before being added to determine the mean.

P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).

The distribution's cdf is

f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)

Determine the values of F(1.445) and F now (0.995).

F(1.445) = 1 - (1/(1.445)⁶)

F(0.995) = 0

Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):

P( 0.995 ≤ x ≤ 1.445)

=1 - (1/(1.445)⁶) - 0

=0.890

Learn more about standard deviation here;

https://brainly.com/question/29655435

#SPJ4


Related Questions



Priya and Han each wrote an equation of a line with slope 1/2 that passes through the point (1,2) Priya's equation is y-2=1/3(x-1) and Han's equation is 3y - x = 5. Do you agree with either of them?

Explain or show your reasoning

Answers

Both Priya's equation and Han's equation are wrong . So , I don't agree with either of them

Slope-intercept form of equation of line is y =mx + b

where m is a slope of line

b is y-intercept

According to the question,

Slope of line is given as 1/2

m = 1/2

Putting the value of m in equation of line

y = 1/2 x + b --------(1)

It is given that line(1) passes through (1,2)

so, x = 1 and y = 2

Substituing the value of x and y in equation (1)

2 = 1/2 +b

Multiplying by 2 both sides

4 = 1 + 2b

=> 2b = 3

=> b = 3/2

substituting the value of b

Equation of line is y = 1/2 x + 3/2

=> 2y = x + 3

Therefore, Both Priya's equation and Han's equation are wrong

To know more about Equation of line here

https://brainly.com/question/21511618

#SPJ4

consider carrying out m tests of hypotheses based on independent samples, each at significance level (exactly) 0.01. (a) what is the probability of committing at least one type i error when m

Answers

The probability of committing when at least one type I error at a significance level (exactly) 0.01 at m = 11 is equivalent to 0.1047.

Given that:

The hypotheses are based on independent samples with each at a 0.01 level of significance.

We know that:

P (at least one type I error is committed) = 1 - [P (No error -  type I error is committed)]^m

P (at least one type I error is committed) = 1 - [(1 - 0.01)]^11

P (at least one type I error is committed) = 1 - [0.99]^11

P (at least one type I error is committed) = 1 - 0.8953

P (at least one type I error is committed) = 0.1047

So, the probability of committing when at least one type I error is equivalent to 0.1047.

To learn more about the probability visit: https://brainly.com/question/11234923

#SPJ4

One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles

Answers

Answer:

Step-by-step explanation:

Measure of one angle= 96

one angle= 2x

other angle= x + 12

By using angle sum property, we know that sum of all angles in a triangle is 180 degree.

so,

96 + 2x + x+12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So,

one angle (2x) = 2 * 24

                        = 48

other angle ( x + 12 ) = 24 + 12

                                  = 36

Hence, the other two degree measures for the missing angles is [tex]36[/tex].

What is the angles?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.

The point at which the two rays meet (intersect) is called the vertex.

Here given that,

One measure of an angle in a triangle is [tex]96[/tex] degree. The other two angle measures are represented by [tex]2x[/tex] and [tex]x + 12[/tex].

So,

Measurement of one angle= [tex]96[/tex] degree

One angle= [tex]2x[/tex]

Other angle= [tex]x + 12[/tex]

As we know that sum of all angles in a triangle is [tex]180[/tex] degree.

So,

[tex]96 + 2x + x+12 = 180\\\\108 + 3x = 180\\\\3x = 180 - 108\\\\3x = 72\\\\x = \frac{72}{3}\\\\x = 24\\\\[/tex]

So,

One angle  is

[tex](2x) = 2 (24)\\=48[/tex]

Other angle is ( x + 12 ) = 24 + 12

[tex]( x + 12 ) = 24 + 12\\=36[/tex]

                           

Hence, the other two degree measures for the missing angles is [tex]36[/tex].

To know more about the angles

https://brainly.com/question/15277238

#SPJ2

A researcher wishes to see if there is a difference in the cholesterol levels of two groups of men. A random sample of 30 men between the ages of 25 and 40 is selected and tested, the average cholesterol level was 223 with standard deviation of 6.1. A second sample of 25 men between ages of 41 and 56 is selected and tested, the average cholesterol level for this group was 229 with standard deviation of 5.8. Assume the populations are normally distributed and the population standard deviation are unequal.

A. At [tex]\alpha = 0.01[/tex], is there a difference in the cholesterol levels between the two groups? Use traditional method.

B. Use confidence interval to verify your answers in (A).

Answers

a. There is a difference in the cholesterol levels between the two groups.

b. The confidence interval for the differences is of (1.7, 10.3), not containing 0 and thus verifying what was found in item a.

What are the hypothesis tested?

At the null hypothesis, it is tested that there is no difference, that is, the mean of the subtraction is of zero, hence:

[tex]H_0: \mu_d = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is, the mean of the subtraction is different of zero, hence:

[tex]H_1: \mu_d \neq 0[/tex]

We have a two-tailed test, as we are testing if the mean is different of value, with 30 + 25 - 2 = 53 df, with a significance level of 0.01, hence the critical value is of:

t = 2.6718

Hence the decision rule, considering the test statistic t, is given as follows:

|t| < 2.6718: do not reject the null hypothesis -> not enough evidence to conclude that there is a difference.|t| > 2.6718: reject the null hypothesis -> enough evidence to conclude that there is a difference.

What are the mean and the standard deviation of the distribution of differences?

For each sample, the mean and the standard error are given as follows:

Sample 1: [tex]\mu_1 = 223, s_1 = \frac{6.1}{\sqrt{30}} = 1.1137[/tex].Sample 2: [tex]\mu_2 = 229, s_2 = \frac{5.8}{\sqrt{25}} = 1.16[/tex].

Hence the mean and the standard error for the distribution of differences is given as follows:

Mean: [tex]\overline{x} = \mu_2 - \mu_1 = 229 - 223 = 6[/tex].Standard Error: [tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{1.1137^2 + 1.16^2} = 1.61[/tex]

What is the test statistic?

The test statistic is obtained as the division of the sample mean by the standard error, hence:

t = 6/1.61

t = 3.73.

t > 2.6718, hence the null hypothesis is rejected, and there is a difference in the cholesterol levels between the two groups.

What is the confidence interval?

The confidence interval is obtained as the sample mean plus/minus the multiplication of the standard error and of the critical value.

Hence the lower bound of the confidence interval is of:

6 - 2.6718 x 1.61 = 1.7.

The upper bound is of:

6 + 2.6718 x 1.61 = 10.3.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

Please help with this!

Answers

Answer:

∠KIH ≅ ∠IKJ

---------------------------------

We can see three marked angles in the diagram.

One of them marked with the small square, it means this is a right angle.

The other two are marked with 3 small parallel curves, it means they are congruent:

∠KIH ≅ ∠IKJ,

You can name them differently but it doesn't change angles:

∠HIK ≅ ∠JKI.

A casino only has red playing chips for $10 each and blue playing chips for $5 each. Jack paid $400 to purchase 50 playing chips at the cashier's window. How many red playing chips were given to him?

Answers

The number of red playing chips that were given to him is 30.

How to calculate the number of red chips?

Let the red chips be illustrated as r.

Let the blue chips be illustrated as b

The appropriate equation to solve the question will be:

r + b = 50.......... i

10r + 5b = 400 ......... ii

From equation i, r = 50 - b.

Put the value of r into equation ii

10r + 5b = 400

10(50 - b) + 5b = 400

500 - 10b + 5b = 400

500 - 5b = 400

Collect like terms

5b = 500 - 400

5b = 100

Divide

b = 100/5

b = 20

Therefore, red chips will be:

r = 50 - b

r = 50 - 20

r = 30

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

What is (-3 3/4) - (-2 1/4)?

Answers

First, you want to rewrite the expression like…
(-15/4) - (-9/4)

Since theres a common denominator, just solve the equation…
-15/4 + 9/4

= -3/2 OR -1 1/2

nebraska, the home of the amc, changed its license plate scheme. each old license plate consisted of a letter followed by four digits. each new license plate consists of three letters followed by three digits. if $a$ is the number of possible license plates in the old scheme and $b$ is the number of possible license plates in the new scheme, what is the value of $b/a$? express your answer as a decimal to the nearest tenth.

Answers

The value of b/a of the number plates is 0.0

What is decimal?

Decimals with the same number of decimal places are referred to as like decimals (after the decimal point). For instance, because both 2.33 and 4.52 include up to two decimal places, they are similar to decimals. Likely decimals are those that do not have the same number of decimal places (after the decimal point).

What are the 3 types of decimals?

Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals.

According to the above question

26 x 10000 = 260,000

If letter and digit repeats are allowed, the number of license plates that can be created under the new system is (26)3 * 1000 = 17,576, 000.

In other words, 260,000 / 17,576,000 = 0.0148, which, when rounded to the nearest tenth, equals 0!

To know more about decimal click the following link :-

https://brainly.com/question/28393353

#SPJ4

1/4 t + 4 = 3/4 (t + 8)

Answers

Answer:    T= -4

Step-by-step explanation: Well i guess it would be that ? If it's not sorry but it should be that

5/8 = 8/x

A.5
B.64
C.0.2
D.12.8

Answers

Answer: It's 64

Hope this helps!

write a formula for f, the specific antiderivative of f. (remember to use absolute values where appropriate.) f(u)

Answers

The formula for f , the specific antiderivative of f  is F(u) = 4㏑(u) + u²/2 + 11/2  .

In the question ,

it is given that ,

the function f(u) is f(u) = 4/u + u and f(1) = 6 ,

to find the antiderivative of f , we integrate it with respect to u ,

∫f(u) = 4∫(1/u)du + ∫u.du

On integrating ,

we get ,

F(u) = 4㏑(u) + u²/2 + c      ......equation(1)

Substituting the value of u = 1 in equation(1) ,

we get ,

F(1) = 4㏑(1) + 1/2 + c

6 = 0 + 1/2 + c

c = 6 - 1/2

c = 11/2 .

Now , substituting the value of c = 11/2 in equation(1) , we get

F(u) = 4㏑(u) + u²/2 + 11/2

Therefore , the formula for f is F(u) = 4㏑(u) + u²/2 + 11/2 .

The given question is incomplete , the complete question is

Write a formula for f, the specific antiderivative of f.  

f(u) = 4/u + u ; F(1) = 6  .

Learn more about Antiderivative here

https://brainly.com/question/11657179

#SPJ4

Please help me with this question. I need it immediately, and it is Grade 7 math.

Answers

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Scott has a tree in his lawn. The tree grows 25 centimeters every year. Since the tree began developing, Scott has managed 16 centimeters off its level. The objective for the tree's level is given by 25x - 16 ≥ 234, where x is the quantity of years the tree develops.

Simplify the inequality, then we have

25x - 16 ≥ 234

25x ≥ 234 + 16

25x ≥ 250

x ≥ 10

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

What multiplication facts can be found by using the arrays for 5x6 and 2x6

Answers

The multiplication of the two arrays will be 360.

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The given arrays of the numbers are 5x6 and 2x6. The multiplication of the two numbers will be done as,

M = ( 5 x 6 ) x ( 2 x 6 )

Multiply both the numbers and solve,

M = 30 x 12

M = 360

Therefore, the multiplication of the two arrays will be 360.

To know more about multiplication follow

brainly.com/question/10873737

#SPJ1

Solve for b.
5/b = 45/36
b = ?

Answers

Answer:

b = 4

Step-by-step explanation:

Step 1: Divide 45 by 36 on the right side

    1. 5/b = 1.25

Step 2: Multiply both sides by b and flip the equation

    2. 1.25b = 5

Step 3: Divide both sides by 1.25

    3. b = 4

[tex]\fbox{b=4}[/tex]

Cross multiply:

[tex]\dfrac{5}{b} =\dfrac{45}{36}[/tex]

[tex](5)\times(36)=45\times(b)[/tex]

[tex]180=45b[/tex]

Flip the equation:

[tex]45b=180[/tex]

Divide both sides by 45:

[tex]\dfrac{45b}{45} =\dfrac{180}{45}[/tex]

[tex]b=4[/tex]

Find the volume.
2ft 2ft 2ft

Answers

Answer:

Volume = 2×2×2 = 8 feet3

a new surgical procedure is said to be successful 90% of the time. suppose the procedure is performed five times. assume that the results of each procedure are independent of one another. in this binomial distribution application, which excel statement will find the probability of between 2 and 4, inclusively, successful surgical procedures?

Answers

The required probability is p(xS 2) =F(2).

Given that,

90% of the time, a novel surgical technique is deemed to be successful. Imagine that the technique is carried out five times. Count on the outcomes of each procedure being distinct from one another. in this application of the binomial distribution

BINOMDIST (2,5,90%, TRUE) is used to find the probability of 2 or fewer

to get 0.00856 because x =2 and n= 5 and TRUE indicates the cumulative

and the required probability is p(xS 2) =F(2)

Therefore, the required probability is p(xS 2) =F(2).

To learn more about probability click here:

brainly.com/question/29538993

#SPJ4

please help, i don't know what to do

Answers

Answer: x = 42

Step-by-step explanation:

A rectangular box has a square base. Its height is half the width of the base. Find a function that models its volume v in terms of its width w.

Answers

The function that models the volume of  a rectangular box in terms of width is (lw²)/2.

What is the volume of rectangle-based solids?

The basic formula for volume is length×width, whereas the basic formula for area of a rectangular shape is length×width×height.

Given: The base of a rectangular box is square. Half of the base's width is its height.

Let,

length = w (since it has a square base)

width = w

height = w/2

Volume of a rectangular box = length×width×height

                                               V = w×w×(w/2)

                                            V  = (lw²)/2

Therefore, the function that models the volume of  a rectangular box in terms of width is (lw²)/2.

Learn more about volume here:

https://brainly.com/question/23963432

#SPJ4

chegg suppose 60% of all college professors like tennis, 65% like bridge, and 50% like chess; 45% like any given pair of recreations. (a) should you be suspicious if told 20% like all three recreations?

Answers

If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

Given that,

Assume that 60% of all college professors enjoy tennis, 65% enjoy bridge, 50% enjoy chess, and 45% enjoy any certain pair of recreational activities.

We have to find if you are told 20% of people prefer all three forms of recreation, should you be suspicious.

We know that,

Let the total professors be  =100

n(tennis) = 60

n( bridege) = 65

n( chess)= 50

n( T U B) = 45, n(BU C) = 45, n(T UC)=45

n( T UBUC)= n(T) + n(B) + n(C) - n( T U B) - n( BU C) - n(TUC) + n(T∩B∩C)

100 = 60 + 65 + 50 - 45-45-45 +n(T∩B∩C)

n(T∩B∩C)=60

Therefore, If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

To learn more about people visit: https://brainly.com/question/18951364

#SPJ4

use green's theorem to evaluate the line integral along the given positively oriented curve. c cos(y) dx x2 sin(y) dy c is the rectangle with vertices (0, 0), (3, 0), (3, 1), (0, 1)

Answers

30(1-cos2) is the evaluated line integral along the given positively oriented curve.

What is Green's Theorem?

Green's theorem is mostly utilized to evaluate the line integral of a single direction and a curved plane. The link between a line integral and a surface integral is demonstrated by this theorem. It is connected to several theorems, including the Gauss theorem and the Stokes theorem.

To integrate the derivatives in a certain plane, one uses Green's theorem. This thesis can be employed to transform a given line integral into a surface integral, double integral, or conversely.

One of the four calculus foundational theorems, all 4 of whom are intimately connected to one another, is the Green's theorem.

How to solve?

By Green's theorem, we have

∫c (cist dx + x² siny dy ) = ∫∫r [μ(x²siny)/μx - μcosy/μy dxdy

where C is the *boundary* of the rectangle .

The integral is then

=(cos0 -cos2)∫(5,5)(2x +1)dx

=(1-cos2)(5²+5)

=30(1-cos2)

To learn more about green's theorem, visit:

brainly.com/question/23741206

#SPJ4

scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts). how many different campout crews are possible?

Answers

As per the combination method, there are 42504 different campout crews are possible.

Combination method:

In math, combination method means a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given,

Scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts).

Here we need to find the number of different campout crews are possible.

According to the nCr formula, here the value of

n = 24

And the value of r = 5

Then the number of possible combinations are calculated as,

=> ²⁴C₅ = 24!/5!(24 - 5)!

=> ²⁴C₅ = 24!/5!19!

=> ²⁴C₅ = 42504

To know more about Combination method here.

https://brainly.com/question/28998705

#SPJ4

Directions: Graph and label each figure and its image under the rotation about the given point. Give the
coordinates of the image.
Parallelogram ABCD with vertices A(6, 8), B(10, 9), C(9. 3).
and D(5, 2): 90° counterclockwise rotation about P(4, 1)

Answers

Answer:

See below

Step-by-step explanation:

This is a hard to explain without showing you, if it does not make sense it is not you, it is just hard to explain without showing you.

Can someone help me? (again and it wont be the last)

Answers

Answer:  sure I just need to know what you need help with to help you

Step-by-step explanation:

i dont know what im doing please help

Answers

Answer:

  x = 62°

Step-by-step explanation:

You want the base angle in an isosceles triangle with a vertex angle of 56°.

Isosceles triangle

The sides of any triangle are proportional to the sine of the opposite angle. When two sides have the same measure, their opposite angles will have the same measure. Since the sum of angles in a triangle is always 180*, this means ...

  56° +x° +x° = 180°

  2x = 124° . . . . . . . . . . subtract 56°

  x = 62° . . . . . . . . . . divide by 2

The measure of the angle marked x is 62°.

__

Additional comment

The sides are all specified. This means you can find the angles of the triangle by solving it based on the side lengths. If you do that, you find that x ≈ 61.641°, as shown in the first attachment. This rounds to 62°.

As you can see in the second attachment, a better length for the side opposite the 56° angle would be 5.6 units instead of 5.7.

In short, the answer you get depends on how you use the given information.

<95141404393>

true or false: with a well-designed sample survery, the sample percentage is very likely to equl the population percentage

Answers

This sentence is False, when the sample size is small, the sample percentage may not be equal to the population percentage.

In demographics, the sector population is the overall quantity of human beings presently residing. It turned into predicted by the United countries to have exceeded eight billion in November 2022. It took over 2 hundred,000 years of human prehistory and history for the human populace to attain one billion and only 219 years extra to attain 8 billion.

The human population experienced a non-stop boom following the Great Famine of 1315–1317 and the end of the Black dying in 1350 when it became nearly 370,000,000. the very best worldwide populace growth quotes, with increases of over 1.8% in line with 12 months, took place between 1955 and 1975, peaking at 2.1% between 1965 and 1970. The increased charge declined to one.1% between 2015 and 2020 and is projected to say no further within the twenty-first century. the worldwide population continues to increase, however, there's sizable uncertainty approximately its long-term trajectory due to converting fertility and mortality fees. The UN Department of Economics and Social Affairs tasks between 9 and 10 billion people by 2050 and offers an 80% self-assurance c language of 10–12 billion by using the cease of the twenty-first century, with a growth charge by using then of zero. other demographers are expecting that the human populace will start to decline in the 2d half of the 21st century.

To learn more about the population visit here:

brainly.com/question/27991860  

#SPJ4

work out angle h
(simple circle theorems)
could someone help me with this? i will rate brainliest xx

Answers

Answer:

  h = 90°

Step-by-step explanation:

You want the measure of the inscribed angle in a semicircle.

Inscribed angle

An inscribed angle has a measure equal to half the arc it subtends. Angle h intercepts the circle at the endpoints of a diameter, so subtends an arc of 180° (half a circle).

The measure of angle h is half of 180°, or 90°.

  h = 90°

__

Additional comment

The fact that a triangle inscribed in a semicircle is a right triangle is useful for a variety of purposes. It is also useful to note that the circle center is the circumcenter, and is the midpoint of the hypotenuse.

A pterodactyl could fly 75 miles in 3 hours. At this rate, how far could a pterodactyl travel in 5 hours?

A pterodactyl could fly 75 miles in 3 hours. At this rate, how far could a pterodactyl travel in 5 hours?

Answers

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

PLEASE HELP!!

GIVE A LOT OF POINTS IF HELP!!!!!

CAULATE IT PLEASEEEEEEEEEEEEEEEEEEE!!!!!!!!! GIVE BRAINLISTT!!

HELP CUALATE THE SQUARE ROOT

Answers

Answer: There are no values that make the equation true  .  No solution

please helpppp!!! !!

Answers

Hope this helps you

a) How many prime numbers are multiples of 5?
b) How many prime numbers are multiples of 8?​

Answers

Answer:

afternoon and

a) =1

Step-by-step explanation:

because there is only one prime number in multiples of 5 that is 5

d) 1

Other Questions
scite industries purchased a corner lot in five years ago at a cost of $640 thousand. the lot was recently appraised at $806 thousand. at the time of the purchase, the company spent $56 thousand to grade the lot and another $10 thousand to build a small building on the lot to house a parking lot attendant who has overseen the use of the lot for daily commuter parking. the company now wants to build a new retail store on the site. the building cost is estimated at $1.31 million. what amount should be used as the initial cash flow for this building project? for the electron in the hydrogen atom, which of the sets of observables below are compatible observables? a negatively charged particle has a velocity in the negative z direction at point p. the magnetic force on the particle at this point is in the negative y direction. what is the direction of the magnetic field at point p from this information? 50 POINTS!!!! ASAPIn at least three paragraphs, write a summary of the Lincoln-Douglas debates. Your summary should cover the main ideas of the debates, especially those related to the issue of slavery. You might consider addressing topics like the westward extension of slavery, popular sovereignty, citizenship for Black Americans, the ideas of the Founders, and others.Each paragraph should begin with a topic sentence that states the main idea of the paragraph. In each paragraph, support your main idea with two to three supporting detail sentences. Finally, finish each paragraph with a concluding sentence that ties together the paragraph's ideas. Be sure to pay attention to spelling, grammar, and writing mechanics. How well a student studies is most affected by For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue function for selling x items is R(x)=0.5(x90)2+4,050 . The maximum capacity of the company is 150 items.Assuming that the company sells all that it produces, what is the profit function?P(x)= What is the domain of P(x) ?The company can choose to produce either 40 or 50 items. What is their profit for each case, and which level of production should they choose?Profit when producing 40 items =Profit when producing 50 items =Can you explain, from our model, why the company makes less profit when producing 10 more units? Record issuance of an additional 2,100 shares of $1 par value common stock for $42,000. Large firms may create a secure website known as a ____________ to link to suppliers and key business partners. a fence must be built to enclose a rectangular area of 20,000square feet. fencing material costs $4.00 per foot for the twosides facing north and south and $8.00 per foot for the other twosides. find the cost of the least expensive fence. you must showyour work. How did brice marden interpret the spiritual reverence for nature that he found in the buddhist poems of cold mountain?. true or false: markets and private ownership of property create incentives to work hard and can contribute to growth in an economy. Biologists divide the biosphere into ______, which are the major types of ecosystems on earth. In this lesson, you sketched polynomial functions using factors and rewrote them in general form.1 Use the factors to sketch each cubic function and label the zeros. Then rewrite the functionin general form.F(x) = (x+3)(-x + 5)2 - 2x) Partial bonding, for example, as part of a resonance hybrid, often results in structures with _____. 1. is the right of a government to control and defend its territory and determine what happens within its borders. A rectangular flowebed is 6.1 meters long.and 3.6 meters wide. What is the area of the flower bed? Use the area model to solve? which department in a company would be primarily responsible for developing the ideas and strategies behind a csr program? A force of 25 newtons east and a force of 25 newtons west act concurrently on a 5. 0-kilogram cart. What is the acceleration of the cart?. 5. determine the overall cell reaction and ecell at 25c of a galvanic cell made of a cd electrode in a 1.0 m cd(no3)2 solution and a pb electrode in a 1.0 m pb(no3)2 solution. Table 10-3. Refer to Table 10-3. Taking into account private and external benefits, the total surplus to society at the socially efficient quantity is$62.50