Let f(x) = *4*6=2 ) 12 What is the set of all values of € R on which is concave down? (a) (- 0,-1) (1,2) (c)(-V3, 3) (b) (0,3) (d) (-1,1)

Answers

Answer 1

For the function f(x) = (x⁴ - 6x²)/12, the set of all values of x, for which it is concave-down is (d) (-1, 1).

To determine the set of all values of x ∈ R on which the function f(x) = (x⁴ - 6x²)12 is concave-down, we analyze the second derivative of function.

We first find the second-derivative of f(x),

f'(x) = (1/12) × (4x³ - 12x)

f''(x) = (1/12) × (12x² - 12)

(x² - 1) = 0,

x = -1 , +1,

To determine when f(x) is concave down, we need to find the values of x for which f''(x) < 0. Which means, we need to find the values of "x" that make the second-derivative negative.

In the expression for f''(x), we can see that (x² - 1) is negative when x < -1 or x > 1, So, the set of all values of x in which the function f(x) = (x⁴ - 6x²)/12 is concave down is (-1, 1).

Therefore, the correct answer is (d) (-1, 1).

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The given question is incomplete, the complete question is

Let f(x) = (x⁴ - 6x²)/12, What is the set of all values of x ∈ R on which is concave down?

(a) (-∞, -1) ∪ (1,∞)

(c)(-√3, √3)

(b) (0, √3)

(d) (-1, 1)


Related Questions

Which value below represents the solution to 64 = 4u

Answers

Answer:

You didnt write the options

Answer:

u=16

Step-by-step explanation:

64=4u

divide both sides by 4

16=u

What are the difference and similarities between a quadratic function and its transformation?

Answers

Well, since they are different degrees, there aren’t much similarities.

But both can have y-intercepts, x-intercepts, and can be graphed on a 2-dimensional plane. However, other than that, there may not be a lot of similarities.

A standard quadratic function is of the form ()=2++
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+
b
x
+
c
and has the shape of a parabola, while a linear function is of the form ()=+
f
(
x
)
=
a
x
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and is just a line.
7.5K viewsView upvotes

2




Related Questions (More Answers Below)

A company needs to determine the optimum power and time settings for their new licorice-flavored microwaveable popcorn. They want to find a combination of power and time that delivers high-quality popcorn with less than 11% of the kernels left unpopped, on average-a value that their market research says is demanded by their customers. Their research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their tests confirm that this setting meets the less than 11% requirement. They change the instructions on the box and promote a new money back guarantee of less than 11% unpopped kernels. Complete parts a) and b) below.
a) If, in fact, the setting results in more than 11% kernels unpopped, what kind of error have they made? What will the consequence be for the company? What are the null and alternative hypotheses in this case?
A. H_o: μ< 11 vs. H_A: μ = 11
B. H_o: μ= 11 vs. H_A: μ> 11
C. H_o: μ= 11 vs. H_A: μ< 11
D. H_o: μ> 11 vs. H_A: μ = 11
b) To be sure that the method was successful, the research department popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels being 6.7,12.9, 10.6, 7, 7.1, 3.1, 2.0, and 4.8. Does this provide evidence that they met their goal of an average of fewer than 11% unpopped kernels? Assume α=0.05.
c) Find T
d) Find P

Answers

A The null and alternative hypotheses in this case are:

Null hypothesis: H_o: μ ≥ 11

Alternative hypothesis: H_A: μ < 11

B We have statistically significant evidence to conclude that the setting results in less than 11% kernels unpopped.

C The t-statistic is -2.94.

d) The p-value is 0.004.

How to explain the information

a) In this case, the company has made a Type I error. This is when the null hypothesis is rejected, even though it is true. In this case, the company would be rejecting the hypothesis that the setting results in less than 11% kernels unpopped, even though it is actually true. The consequence of this would be that the company would be losing money on refunds for popcorn that is not actually defective.

b) In order to answer this question, we need to calculate the t-statistic and the p-value.

The t-statistic is calculated as follows:

t = (x - μ) / (s / √n)

Substituting these values into the formula for the t-statistic, we get:

t = (6.7 - 11) / (3.5 / √8)

= -2.94

The p-value is the probability of obtaining a t-statistic that is at least as extreme as the one we observed, assuming that the null hypothesis is true. In this case, the p-value is 0.004.

c) The t-statistic is -2.94.

d) The p-value is the probability of obtaining a t-statistic that is at least as extreme as the one we observed, assuming that the null hypothesis is true. In this case, the p-value is 0.004.The p-value is 0.004.

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please help!!!!!!!!!

Answers

Answer: 15,000

Explanation: the question asks for the maximum profit so you look for the highest point and check the x value for it.

Hope this helped! :)

What is the center? (X +3)^2+(y-11)^2=49

Answers

Answer:

I don't know the answer I am sorry I really need points to ask a important question sorry you can report me if you want but I want you to know that I really points

PLEASE HELP! What is the ratio of the volumes of two spheres, if the ratio of their radii is 13: 9

Answers

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer:

2197:729

hope it helps

please mark brainliest

Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 years, how much money will be in her account?

Answers

Answer:

$5829.57

Step-by-step explanation:

Annually compounding interest formula: [tex]PV(1+i)^t[/tex]

5000(1+.0525)^3

5829.567266

which rounds to: 5829.57

In the circus, a tiger has been trained to jump through a ring of fire that has a diameter of 6 feet. What is the ring's circumference?

Answers

Answer:

Radius is going to be 3 since half of the diameter is the radius.

Formula of a circumference you must remember:

2πr

(2 x pie (3.14 or 22/7) x your given radius or have of the diameter.

2 x 3.14 x 3 = 18.84

Callum is walking 270 miles to raise money for cancer research. He plans to walk 1/9 of the distance each day. After 7 days, how much farther does he have to walk to reach his goal?

Answers

270-(7/9x270)=60miles

help
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Answers

Answer:

1 is E 2 is C

Step-by-step explanation:

15 is equal to or less than 6x

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer
welp me pls
( T﹏T ) ( T﹏T ) ( T﹏T ) ( T﹏T )

Answers

Answer:  16° F

Step-by-step explanation:

30-15=16

16 degrees because if you subtract 31 degrees by 15 degrees you get 16 degrees.

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

A pizza cut into 8 pieces cost $10.00.
What is the cost per piece?

Answers

Answer:

$1.25

Step-by-step explanation:

10/8 =1.25

Answer:

$1.25

Step-by-step explanation:

just divided 10 with 8

Find the characteristic c using a 64-bit long real equivalent decimal number -147 with mantissa f = 0.1484375

Answers

Characteristic 'c' using a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375, the number can be expressed as -1.48 x 10^2. The characteristic 'c' is the exponent of the power of 10. Therefore, the characteristic 'c' is -2.

The scientific notation representation of a real number is given by 'm x 10^c', where 'm' is the mantissa and 'c' is the characteristic. In this case, we have a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375. The number can be written as -1.48 x 10^2.

To determine the characteristic 'c', we look at the exponent of the power of 10. In this case, the exponent is 2. However, since the number is negative, the characteristic is also negative. Therefore, the characteristic 'c' is -2.In summary, for the given number -147 with mantissa 0.1484375, the characteristic 'c' is -2.

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Julio recibió $640.000: gastó las ⅜ partes para pagar sus estudios y la ¼ parte para reparar el auto, ¿cuánto dinero le queda?

Answers

Answer:

Resto= $240.000

Step-by-step explanation:

Dada la siguiente información:

Cantidad total de dinero= $640.000

Costo de estudio= 3/8= 0,375

Costo de auto= 1/4= 0,25

Primero debemos calcular la cantidad total gastada, y después la diferencia:

Costo de estudio= 0,375*640.000= 240.000

Costo de auto= 0,25*640.000= 160.000

Gasto total= $400.000

Resto= 640.000 - 400.000

Resto= $240.000

The radius of a circle is 1 meter. What is the area?

r=1 m

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} [/tex]

A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.
Use Minitab Express to construct the following confidence intervals. Report your answers as decimals (not percents) rounded to three decimal places, where applicable.
a) We are 95% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between ____ and ____
b) We are 99% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between _____ and ____

Answers

The sample proportion is calculated by dividing the number of individuals who believe it is the responsibility of the federal government (493) by the total number of adult Americans surveyed (1050).

a) For the 95% confidence interval, we use the formula: Sample proportion ± Z * (Standard error). The value of Z is determined by the desired confidence level. In this case, for a 95% confidence level, Z is the critical value corresponding to a two-tailed test. By plugging in the values, we can calculate the lower and upper limits of the interval.

b) Similarly, for the 99% confidence interval, we use the same formula but with the appropriate critical value for a 99% confidence level.

Using Minitab Express or statistical tables, we can find the critical values and compute the confidence intervals.

Hence, the 95% confidence interval represents our level of confidence that the true proportion of adult Americans who believe it is the responsibility of the federal government to provide healthcare coverage lies within the reported interval. Similarly, the 99% confidence interval provides a higher level of confidence in capturing the true proportion.

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The marginal PMFs for two INDEPENDENT random variables are given as follows 1/8 x = -1 Px(x) 1/2 = 0 3/8 1 = X = X = - py(y) = Py = 5/16 y=-1 9/16 y=0 1/8 = y = 1 a) Find the joint PMF for X, Y

Answers

The joint PMF for X, Y is given by the following table:

x\y 5/128   9/128   1/64   5/32   9/32   1/16   15/128   27/128   3/64

The joint probability mass function (PMF) of two discrete random variables is a function that maps each pair of outcomes of the random variables to a probability. In particular, the joint PMF gives the probability that the random variables take a certain pair of values on each trial. Therefore, we have to find the probability that the random variables X and Y take each of the six possible values.

Therefore, the joint PMF for X, Y is given as follows:

For x = -1 and y = -1,

P(X = -1, Y = -1)

= P(X = -1)P(Y = -1)

= (1/8)(5/16)

= 5/128

For x = -1 and y = 0,

P(X = -1, Y = 0) = P(X = -1)P(Y = 0)

= (1/8)(9/16)

= 9/128

For x = -1 and y = 1,

P(X = -1, Y = 1) = P(X = -1)P(Y = 1)

= (1/8)(1/8)

= 1/64

For x = 0 and y = -1,

P(X = 0, Y = -1) = P(X = 0)P(Y = -1)

= (1/2)(5/16)

= 5/32

For x = 0 and y = 0,

P(X = 0, Y = 0) = P(X = 0)P(Y = 0)

= (1/2)(9/16)

= 9/32

For x = 0 and y = 1,

P(X = 0, Y = 1) = P(X = 0)P(Y = 1)

= (1/2)(1/8)

= 1/16

For x = 1 and y = -1,

P(X = 1, Y = -1) = P(X = 1)P(Y = -1)

= (3/8)(5/16)

= 15/128

For x = 1 and y = 0, P(X = 1, Y = 0) = P(X = 1)P(Y = 0)

= (3/8)(9/16)

= 27/128

For x = 1 and y = 1,

P(X = 1, Y = 1) = P(X = 1)P(Y = 1)

= (3/8)(1/8)

= 3/64

Therefore, the joint PMF for X, Y is given by the following table:

x\y 5/128   9/128   1/64   5/32   9/32   1/16   15/128   27/128   3/64

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!!!!!!!!!! !!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

6.5 * 24 = 156

Therefore B

on number 6 what should i color in

Answers

Answer:

For 5/11 shade in the third bubble (0.45 repeating)

Help pls homework!! Sorry if I’m wasting time.

Answers

Answer:

Blanks top to bottom: 6^2, 36, 9, 108, 101

Step-by-step explanation:

Use PEMDAS which stands for parentheses, exponents, multiplication, division, addition, and subtraction. Listed in this specific order, you must look and solve for each one first, starting with parentheses.

4.

12 × ((4+2)^2/4) - 7

Solve for inside of parentheses first:

12 × ((6)^2/4) - 7

12 × (36/4) - 7

12 × 9 - 7

108 - 7

101

HELPPPPPPPP
What is the value of x in the triangle?

Answers

Answer:

82

Step-by-step explanation:

it's very easy the answer is 82

Answer:

65°+75°+x°=180°(sum of an angle of triangle is 180°

or, 140°+x°=180°

or, x°=180°-140°

therefore,x°=40°

Rosalind Franklin played an important role in the discovery of DNA's structure. Her data was used to support Watson's and Crick's hypothesis that DNA had the structure of a double helix. Even with this data and support from other scientists, the structure of DNA was not a widely accepted theory. Select all of the reasons why was their discovery was not considered a theory at the time of the paper's publication? 1. A newly released hypothesis must wait a least a year before the scientific community can vote for it to become a theory. 2. Theories are never developed by three people. 3. Theories need to undergo peer-review. 4.The hypothesis wasn't supported by their own data.

Answers

Answer:

The correct option is;

3. Theories need to undergo peer-review

Step-by-step explanation:

Within the scientific community, a theory has to be peer-reviewed by subject matter experts before it can be normally considered a valid theory. The peer-review process is one in which another scientific expert on the subject analyze, study, and repeat the experiments in the same conditions as stated in a publication submitted to a journal as a theory. The peer-review process aims to confirm the theory. A discovery which survives the peer review process will be considered a scientific theory and can then be expanded upon.

as of today, the team has played seven games, and _____________ has won them all.

Answers

As of today, the team has played seven games, and "the team" has won them all.

This statement indicates that the team, whose specific name or identity is not provided, has achieved a perfect winning record by emerging victorious in all seven games they have participated in. The emphasis is on the collective success of the team rather than attributing the wins to any particular individual or naming the team itself. The phrase "has won them all" highlights the team's unbeaten streak and implies their dominance in the competition.

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Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours and follows the exponential probability distribution. Determine the following probabilities.
a) Determine the probability that the next charge will last less than 1.9 hours.
b) Determine the probability that the next charge will last between 2.9 and 4 hours.
c) Determine the probability that the next charge will last more than 5 hours.
(Round to four decimal places as needed.)

Answers

(a) 0.3694 is the probability that the next charge will last less than 1.9 hours. (b) 0.2344 is the probability that the next charge will last between 2.9 and 4 hours. (c) 0.3830 the probability that the next charge will last more than 5 hours.

To solve these probabilities, we need to use the exponential probability distribution formula. The formula for the exponential distribution is:

[tex]P(X \leq x) = 1 - e^{-\lambda x}[/tex]

where,

λ is the rate parameter, and

x is the variable representing the duration.

Given that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours, we can find the rate parameter (λ) by taking the reciprocal of the average:

λ = 1 / 4.6

Now let's calculate the probabilities:

a) Determine the probability that the next charge will last less than 1.9 hours.

Using the exponential distribution formula:

[tex]P(X \leq 1.9) = 1 - e^{(-\lambda \times 1.9)}[/tex]

[tex]P(X \leq 1.9) = 1 - e^{(-\frac{1}{4.6} \times 1.9)}[/tex]

[tex]P(X \leq 1.9) = 1 - e^{(-0.4130)}[/tex]

P(X ≤ 1.9) ≈ 0.3694 (rounded to four decimal places)

Therefore, the probability that the next charge will last less than 1.9 hours is approximately 0.3694.

b) Determine the probability that the next charge will last between 2.9 and 4 hours.

Using the exponential distribution formula:

P(2.9 ≤ X ≤ 4) = P(X ≤ 4) - P(X ≤ 2.9)

[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\lambda \times 4)}] - [1 - e^{(-\lambda \times 2.9)}][/tex]

[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\frac{1}{4.6} \times 4)}] - [1 - e^{(-\frac{1}{4.6} \times 2.9)}][/tex]

P(2.9 ≤ X ≤ 4) ≈ 0.2344 (rounded to four decimal places)

Therefore, the probability that the next charge will last between 2.9 and 4 hours is approximately 0.2344.

(c) Determine the probability that the next charge will last more than 5 hours.

Using the exponential distribution formula:

P(X > 5) = 1 - P(X ≤ 5)

[tex]P(X > 5) = 1 - [1 - e^{(-\lambda \times 5)}][/tex]

[tex]P(X > 5) = 1 - [1 - e^{(-\frac{1}{4.6} \times 5)}][/tex]

P(X > 5) ≈ 0.3830 (rounded to four decimal places)

Therefore, the probability that the next charge will last more than 5 hours is approximately 0.3830.

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Let X be a topological space and A ⊂ X. The closure of A, denoted
A¯, is the intersection of all closed sets containing A.
(a) Show that A¯ is the smallest closed subset of X containing A, in
the following sense: if A ⊂ F ⊂ X and F is closed, then A¯ ⊂ F.

Answers

The "closure(A⁻)" of "subset-A" in a topological-space X is the intersection of all "closed-sets" containing A. It is smallest closed subset of X that contains A, means that if A⊂F⊂X and F is closed, then A⁻ is a subset of F.

In order to show that the closure(A⁻) is the smallest closed subset of X  which contains "A", we need to prove that if A ⊂ F ⊂ X and F is closed, then A⁻ ⊂ F,

We know that, A⁻ is intersection of all "closed-sets" containing A. Since F is "closed-set" which contains "A", it is one of the sets in the intersection defining A⁻. So, A⁻ is contained in F.

To show that A⁻ ⊂ F, we consider an arbitrary point x ∈ A⁻, which means that x is in the intersection of all closed sets containing A. Since, F is one such "closed-set" containing A, x must be in F as well.

Since x was an "arbitrary-point" in A⁻, we have shown that every point in A⁻ is also in F, So, A⁻ ⊂ F.

Therefore, we have proved that if A ⊂ F ⊂ X and F is closed, then A¯ ⊂ F.

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The full weight of a brand of a pack of sweet potato fries is a random variable with µ = 350 g and σ= 4.1 8. Assume that you pick a random pack from the population.
a. Find the proportion of packs that contain less than 340 g?
b. How likely is it for a pack to contain 330 g?

Answers

The proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%. The likelihood of a pack containing exactly 330g cannot be determined without additional information.

To find the proportion of packs that contain less than 340g, we need to calculate the z-score and use the standard normal distribution table. The Calculating z-score:

z = (x - µ) / σ

Where x is the value we want to find the proportion for (in this case, 340g), µ is the mean (350g), and σ is the standard deviation (4.18g).

Substituting the values, we have:

z = (340 - 350) / 4.18 ≈ -2.39

Next, we look up the corresponding z-score in the standard normal distribution table. The area to the left of -2.39 represents the proportion of packs that contain less than 340g. Consulting the table, we find that the area is approximately 0.0091 or 0.91%.

Therefore, the proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%.

To determine the likelihood of a pack containing exactly 330g, we need more information. Specifically, we would need the probability density function (PDF) of the distribution to calculate the exact likelihood. Without the PDF, we cannot determine the likelihood of a specific weight like 330g.

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You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?

Answers

Answer:

22.5 J

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

22.5 J

Hope this helps you

| 50 Points | Please give explanation | Reporting false answers | Giving correct brainliest

Answers

The one in the middle is right one. Because it has the same information as in the graph

Answer: answer is D

Step-by-step explanation:

because science is more important than life

What is the answer ? I need help

Answers

Answer:

-42

Step-by-step explanation:

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Banking and regulation We need new regulations in the banking sector to ensure that the global financial crisis never happens again. Discuss this commonly heard statement. In your answer, make sure you a. describe the common types of risk facing any banking sector and how these risks played out in the USA in the lead up to the global financial crisis, andb. explain how effective you believe the new Basel III regulations will be in managing these risks in the future. What are the limitations of online marketing for events, andwhat advantages are there in supplementing them with traditionalpromotional interventions? (150-200 words) Menue Item Number SOld Popularity Index Forecast # Guests Forecast Item SoldSteamed Fish 175 Seafood Hot Pot 125 Vegetable Lo Mein 200 Total 700 1. What is the popularity index for Vegetable Lo Mein?Answer: Popularity Index for Vegetable Lo Mein = No. of Vegetable Lo Mein sold / Total number of all menu items soldWhere, Total number of all menu items sold = No. of Steamed Fish sold + No. of seafood Hot Pot sold + No. of Vegetable Lo Mein sold = 175 + 125 + 200 = 500Therefore, Popularity Index for Vegetable Lo Mein = 200 / 500 = 0.42. Based on its popularity index, what would be the predicted number of Seafood Hot Pots to be sold if management forecasts that 700 guests will be served? TRUE/FALSE. The difference between total sales and total variable expense iscalled contribution margin. select the most imporatnt componnent of the patient provider rapoort empathy confidentiality respoect privacy Use the following sample to estimate a population mean .51.359.558.157.155.361Assuming the population is normally distributed, find the 99.9% confidence interval about the population mean. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places.99.9% C.I. = Let S be the set {0, 1}. Then S is the set of all ordered pairs of Os and 1s; S2 = {(0,0), (0, 1), (1, 0), (1, 1); Consider the set B of all functions mapping Sto S. For example, one such function, S(xy), is given by (0,0) = 0 S(0, 1) = 1 |(1,0) = 1 S(1, 1) = 1 a. How many elements are in B? b. For fi and Sa members of B and (x, y) S, define (+)(x, y) = max({}(x, y), S2(x, y)) 1x,y) = min Si(x,y),/ Chocolate Treats has the following account balances:Cost of goods sold $390,000 Rent expense $45,000Depreciation expense 12,500 Salaries expense 56,000Insurance expense 3,100 Sales 575,000Interest expense 11,500 Sales discounts 5,500Interest revenue 9,200 Sales returns and allowances 16,500Assuming Chocolate Treats uses a multiple-step income statement, calculate the following: (a) net sales, (b) gross profit, (c) operating expenses, (d) profit from operations, and (e) profit.(a) Net sales $(b) Gross profit $(c) Operating expenses $(d) Profit from operations $(e) Profit $ The demand and supply functions for good x are:QD = 780 2Px 6Py + 0.02MQS = 200 + 4Px 5Pr 2WCurrently, Py = 100, M = 5,000, Pr = 40, and W = 100.a. If the government imposes a price floor of $100 in the market, how much of good x is NOT sold in the market?b. If the government agrees to buy all of good x that is not sold in the market (as a result of the $100 price floor), what does this cost the government, and ultimately the tax payers? in paragraph 12, wilson uses metaphor and simile to describe the nature of stereotypes. how effectively do these communicate his attitude and meaning? Classify the following items in a statement of cash flows: (a) Payments of office rental (b) Repayment of loans (c) Acquired motor vehicle for cashSelect one: a. (a) Operating outflow; (b) Investing outflow; (c) Investing inflow b. (a) Operating inflow; (b) Financing outflow; (c) Operating outflow c. (a) Operating inflow; (b) Operating outflow; (c) Operating inflow d. (a) Operating outflow; (b) Financing outflow; (c) Investing outflow 3. what are organizational values? how do they differ from personal values Give a big-O estimate for the number of operations, where an operation is an addition or a multiplication, used in this segment of an algorithm (ignoring comparisons used to test the conditions in the while loop). i := 1; t := 0; while i n; t := t + i; i := 2i. 2. Calculate one of each of the following questions created by 3 different classmates.a. Mean and standard deviation given, looking for the percentage between two x values.Marks in a class is normally distributed with a mean mark of 71 and standard deviation of 11. 3What percent of students scored between 65 - 75%?b. Mean and standard deviation given, looking for the percentage above a certain x value.The heights of 17-year-old boys' heights are normally distributed with a mean of 175cm and a standard deviation of 7.11cm.What percent of the 17-year-old boys are above 179cm?c. Mean and standard deviation given, looking for the x value at a certain percentile.The length of time it takes for students who ride the bus to get to school is normally distributed with a mean of 25 mins and a standard deviation of 5 mins.What time would be lower than 60% of all the other times? What are the major international tax provisions in the Tax Cuts andJobs Act that became effective in the United States in 2018? Whatprocedures are used to translate the foreign currency income of a Assume that 2.5 ATPs are generated per NADH and 1.5 ATPs per FADH2. What is the total number of ATPs generated from 8 acetyl-SCoA molecules? Express your answer as an integer. ANSWER 80 ATP(s)Part C Assume that 2.5 ATPs are generated per NADH and 1.5 ATPs per FADH2. How many ATPs are generated from the FADH2 and NADH molecules from each repetition of the -oxidation pathway? Express your answer as an integer. 4 ATP(s)Part D Activation of the fatty acid (converting it to fatty acyl-SCoA) requires the expenditure of 2 ATPs. Use your answers from parts B and C to calculate the total number of ATPs generated from the metabolism of a saturated fatty acid with 16 carbon atoms including both the citric acid cycle and the -oxidation pathway as well as the initial ATP required to produce the acyl-SCoA molecule that starts the process. Express your answer as an integer. B ma A b Note: Triangle may not be drawn to scale. Suppose a 2 and c= 9. Find: 6 AA degrees BE degrees Give all answers to at least one decimal place. Give angles in degrees calculator 1. Is there any bias? (My professor says there is usually always bias: consider the wording, source and publisher)2. Provide a short summary. Like 1-6 sentences. or whatever is necessary3. Something you found interesting in this articleSource: Air, Soil and Water Research, 13(1) Published By: SAGE PublishingAbstractSoil influences human health in a variety of ways, with human health being linked to the health of the soil. Historically, emphasis has been placed on the negative impacts that soils have on human health, including exposures to toxins and pathogenic organisms or the problems created by growing crops in nutrient-deficient soils. However, there are a number of positive ways that soils enhance human health, from food production and nutrient supply to the supply of medications and enhancement of the immune system. It is increasingly recognized that the soil is an ecosystem with a myriad of interconnected parts, each influencing the other, and when all necessary parts are present and functioning (ie, the soil is healthy), human health also benefits. Despite the advances that have been made, there are still many areas that need additional investigation. We do not have a good understanding of how chemical mixtures in the environment influence human health, and chemical mixtures in soil are the rule, not the exception. We also have sparse information on how most chemicals react within the chemically and biologically active soil ecosystem, and what those reactions mean for human health. There is a need to better integrate soil ecology and agronomic crop production with human health, food/nutrition science, and genetics to enhance bacterial and fungal sequencing capabilities, metagenomics, and the subsequent analysis and interpretation. While considerable work has focused on soil microbiology, the macroorganisms have received much less attention regarding links to human health and need considerable attention. Finally, there is a pressing need to effectively communicate soil and human health connections to our broader society, as people cannot act on information they do not have. Multidisciplinary teams of researchers, including scientists, social scientists, and others, will be essential to move all these issues forward.ConclusionThe idea that soils are important to human health is widely accepted in the modern scientific community. Soils are recognized for their contributions in areas such as the supply of adequate quantities of nutritious food products, medications, and for their assistance in developing the human immune system. Negative health impacts also occur when foods are grown in soils that have nutrient deficiencies or when people are exposed to toxic levels of chemicals or pathogenic organisms through contact with soil or soil products. However, there are still many things we do not know about the links between soils and human health. The potential role of soils in the development of ARB needs additional research, as do the methods used to investigate soil microorganisms. Investigation of the links between soil macroorganisms and human health has barely begun, and there is a need for a more holistic understanding of the soil ecosystem and its links to agronomic production and broader human health. As the global population grows, we will need to produce more food that maintains or enhances its nutrient content on essentially the same land area, assuming we can reverse our current losses of arable land to degradational processes. A large amount of work has focused on heavy metals pollution, plastics, pesticides, and related organic chemicals, but this work typically focuses on a given pollutant as a stand-alone issue. In actuality, the soil is a mixture of many chemicals that are in a very chemically and biologically active environment; research into the health effect of chemical mixtures and how those mixtures react and interact in the soil environment is badly needed. Beyond research, there is a need for scientists to effectively communicate their findings to the broader public, who will not be aware of the challenges and opportunities we face if scientists do not get the word out. Closing all these gaps will require multidisciplinary teams that are able to communicate across those disciplines, as, for example, soil scientists are not typically trained in human health issues and human health experts are not typically training in soil science, while neither of these groups are typically trained in effective large-scale public outreach. Therefore, we need agronomists, biologists, chemists, communications experts, medical doctors, public health experts, toxicologists, sociologists, soil scientists, and others working together toward common goals within the soil and human health realm. In some cases, achieving these collaborations will require a paradigm change in how we presently approach human health issues. if the moon were two times farther from earth than it is now, the gravitational force between earth and the moon would be _____ is NOT a popular tourist destination in the Coastal South portion of South Carolina.a. Southeast Virginiab. Corpus Christic. St. Johnsd. Cape Romain