if you use a level of significance in a two-tail hypothesis test, what decision will you make if zstat -1.58?

Answers

Answer 1

In a two-tail hypothesis test, if the calculated test statistic (z-statistic) is -1.58 and the level of significance is used, the decision will depend on comparing the z-statistic to the critical values of the standard normal distribution corresponding to the desired level of significance.

Explanation: In a two-tail hypothesis test, the null hypothesis assumes that there is no significant difference between the sample and population parameters. The alternative hypothesis, on the other hand, suggests a significant difference. The level of significance, denoted as α, determines the critical values that divide the rejection and non-rejection regions.

If the calculated test statistic, in this case -1.58, falls within the rejection region, which is determined by the critical values, we reject the null hypothesis. If the test statistic falls outside the rejection region, we fail to reject the null hypothesis.

To make a decision, we compare the z-statistic to the critical values corresponding to the level of significance. If the z-statistic of -1.58 falls outside the critical values, it means it is not extreme enough to reject the null hypothesis, and we fail to reject it. However, if the z-statistic falls within the critical values, we reject the null hypothesis in favor of the alternative hypothesis.

To learn more about null hypothesis click here: brainly.com/question/29892401

#SPJ11


Related Questions

555555555555 plzzz help

Answers

Answer: C

Because BD would be longer than AC

PLEASEEEEE ILL MARK BRAINIEST

Answers

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

According to a recent survey, women chat on their mobile phones more than do men (CNN.com, August 25, 2010). To determine if the same patterns also exist in colleges, Irina takes a random sample of 40 male students and 40 female students in her college. She finds that female students chatted for a sample average of 820 minutes per month, with a sample standard deviation of 160 minutes. Male students, on the other hand, chatted for a sample average of 760 minutes per month, with a sample standard deviation of 240 minutes. It is not reasonable to assume equal population variances. Test the hypothesis whether women chat on their phones more than men at the 5% significance level.
A report on a study in which each of 6 workers was provided with both a conventional shovel and a shovel whose blade was perforated with small holes.
Worker: 1 2 3 4 5 6
Conventional: .0011 .0014 .0018 .0022 .0017 .0016
Perforated: .0011 .0010 .0019 .0013 .0011 .0015
Do these data provide convincing evidence that the mean energy expenditure using the conventional shovel exceeds that using the perforated shovel? Test the relevant hypotheses using a significance level of 0.05?

Answers

Based on the given data, the hypothesis test results show that there is not enough evidence to conclude that women chat on their phones more than men at the 5% significance level.

For the hypothesis test comparing the chat times of male and female students, we can use a two-sample t-test since we have two independent samples with unequal variances. The null hypothesis (H0) assumes that there is no difference in chat times between men and women, while the alternative hypothesis (Ha) suggests that women chat more than men.

Calculating the test statistic and degrees of freedom using the provided sample data and formulas, we find that the test statistic is approximately 1.03. Comparing this with the critical value at a 5% significance level (t-critical value), we find that it does not fall in the rejection region.

Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that women chat on their phones more than men at the 5% significance level.

For the second scenario comparing energy expenditure using conventional and perforated shovels, we would need more information, such as the sample sizes, means, and standard deviations, to perform the relevant hypothesis test. The provided data alone does not allow us to conduct the hypothesis test.

Learn more about hypothesis here:

brainly.com/question/17099835

#SPJ11

PLZ HELP ME, ASAP I WILL CROWN BRAINLIEST!!!!

Answers

It is the first option. 3 and 4

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

On January 1, 2020, Maris Enterprises issued 9%, 5-year bonds with a face amount of $800,000 at par. Interest is payable annually on January 1.

Answers

Answer:

A. Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

B. Dr Interest expense $72,000

Cr Interest Payable $72,000

Step-by-step explanation:

Preparation of the entries to record the issuance of the bonds and the first annual interest accrual on December 31

A. Preparation of the entries to record the issuance of the bonds

Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

(Being to record issuance of the bonds)

B. Preparation of the Journal entry to record first annual interest accrual on December 31

Dec 31

Dr Interest expense $72,000

Cr Interest Payable $72,000

($800,000*9%)

(Being to record the first year interest expense accrued)

Drag the correct steps into order to solve the equation 5x5 + 5 = 10 for x

Answers

Answer:

x = 1

Step-by-step explanation:

5x^5 + 5 = 10

Start the solution by subtracting 5 from both sides:

5x^5 = 5

Dividing both sides by 5 yields x^5 = 1.

Taking the 5th root of both sides, we get x = 1

Ben weighs 41.9 kg. His older brother weighs 57.6 kg. How much more does his older brother weigh?

Answers

Step-by-step explanation:

[tex]57.6 - 41.9 = 5.7[/tex]

please help help help help !!!!! ASAP

Factorise

3у^2 - 54y + 243​

Answers

Answer:

3(y-9)^2

Step-by-step explanation:

Answer:

See in the picture mark brainliest if correct

Amad collected 42 plates in February for a project he plans to make. He had collected a total of 91 plates by the end of March. Which equation can be used to find the number of plates Amad collected in March? A. 42 * p = 91 b. P - 91 = 42 c. 91 / p = 42 d. P + 42 = 91

Answers

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

Has anyone done the Alg1B Portfolio - Unit 6 for connections academy

Answers

Answer:

I have

Step-by-step explanation:

Mrs, carp's class has 11 boys and 17 girls. what is the probability that she will randomly chose a girl first and then a boy?

Possible answers ⇒
0.18
0.24
0.33
0.48

WILL GIVE BRAINLIST

Answers

the answer is 0.18, because if you add 11 and 9 you get 20. which means there is 20 total students in the class. the probability of choosing a girl would be 9/20 The probability of choosing the 2nd girl = number of remaining girls / number of all students minus the chosen girl = 8/19
Then , the probability of choosing two girls is :
The probability of choosing 2 girls = 9/20 * 8 /19
= 72/380
= 18/ 95
then the probability of choosing 2 girls is 18/95 so the answer is 0.18

please help :c
Angela bought a total of 3 dozen cookies for Easter. Each cookie was 0.65 (INCLUDING TAX!) Of the cookies, 3/4 of them were shaped like Easter eggs. What was the cost of the Easter egg shaped cookies?

please add the work along with the question

Answers

Answer: $17.55

Step-by-step explanation:

36 x 0.65 = $23.40 total for all cookies

($23.40/1) x (3/4) = (70.2/4)

70.2 divided by 4 = $17.55

or

$23.40 x .75 = $17.55




Let C denotes any closed contour lying in the open disk |z| < 3. Consider the function f(z) : = (8²-16)5* Calculate the contour integral of the function f(z) over the contour C. 2622

Answers

The contour integral of the function f(z) over the contour C is zero because the function f(z) is analytic inside and on the contour C.

How to determine contour integral?

In this case, the function f(z) = (8² - 16)5 = 64 × 5 = 320 is a constant function. Constant functions are always analytic within their domain. Therefore, f(z) is analytic within the region enclosed by the contour C.

According to Cauchy's Integral Formula, the contour integral of a function over a closed contour C is given by:

∮C f(z) dz = 2πi × sum of the residues of f(z) at its isolated singularities within C.

Since f(z) is a constant function, it does not have any singularities. Therefore, all the residues of f(z) are zero.

Hence, the contour integral of f(z) over the contour C is zero:

∮C f(z) dz = 0.

Find out more on contour integral here: https://brainly.com/question/32540914

#SPJ4

[Help asap, question is in image, will mark brainliest]

Answers

Answer:

V = 339.12

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 6

h = 9

Work:

V = πr²(h/3)

V = 3.14(6²)(9/3)

V = 3.14(36)(3)

V = 113.04(3)

V = 339.12

Evaluate the function at the given value.
h(x) = 1/3.6^x
what is h(2)?

Answers

Answer:

h(x)=6^x/3 is what I got hope I could help

simplify this number 300mm:9m​

Answers

Answer:

1 : 30

Step-by-step explanation:

300mm:9m​

We need to change the meters to mm

1 meter is 1000 mm

so 9 m is 9000 mm

300mm:9000mm

Divide both sides by 300

​300mm/300 : 9000/300

1 : 30

Assume f : A → B and g : B → A are functions such that
f ◦ g = idB . Then g is injective and f is surjective.

Answers

f: A → B and g: B → A are functions such that f∘g=idB. It is true that g is injective and f is surjective.

Let y1, y2 ∈ B such that g(y1) = g(y2).

We need to show that y1 = y2.

To do this, we use the following facts;

f(g(y1)) = y1 (since f∘g=idB).

f(g(y2)) = y2 (since f∘g=idB).

Now, f(g(y1)) = f(g(y2)).

Since f is a function, g(y1) = g(y2) ⟹ f(g(y1)) = f(g(y2)).

So, we have y1 = y2 as required. Therefore, g is injective.

Let b ∈ B be arbitrary. We need to show that there exists an element a ∈ A such that f(a) = b.

Since f∘g=idB, we know that for any element y ∈ B,f(g(y)) = y.

Now, we can use b ∈ B to obtain the element g(b) ∈ A.

Then, f(g(b)) = b as required. Therefore, f is surjective.

So, the functions f and g satisfy the following properties:

if f: A → B and g: B → A such that f∘g=idB, then g is injective and f is surjective.

To know more about function, refer to the link below:

https://brainly.com/question/13656067#

#SPJ11

Find the radian measure of an angle of -340

Answers

Answer:

-1.889 rad

Step-by-step explanation:

180 degrees = [tex]\pi[/tex]

-340 x [tex]\frac{\pi }{180}[/tex]

-340[tex]\pi[/tex]/180

-34[tex]\pi[/tex]/18

-1.889 rad

Please help!! I'm super confused:(

Answers

Answer: Singing

Mode: The value that appears the most in a list

Also by the way, the frequency table is most likely just a table of every single value and how many times they appear in the list. Its super easy all you have to do is count them

Find the height of a prism whose volume is 108 cm3
and the area of the base is 15 cm2.

Answers

Answer:17

Step-by-step Experlation: The volume is 108 cm. 3,2,15.a square prism with a base edge of 9.5 inches and a height of 17 ... amount for a landowner

Part A:
A group of students are going on an overnight camping trip. One tent holds 7 students, and 4 tents hold 28 students. Determine how many students fit in six, nine, and ten tents.

Part B:
Create a table of values to represent the relationship between the number of tents and the number of students.

Part C:
Write the equation to represent the relationship between the number of tents and the number of students.

Answers

Part A:

Six Tents Holds 42 People

Nine Tents Holds 63 People

10 Tents Holds 70 People

Part B:

Number of tents|||Number of people

1                          |||7

6                         |||42

9                         |||63

10                        |||70

Part C:

Tents=x

1x=7 people

It is assumed that the average Triglycerides level in a healthy person is 130 unit. In a sample of 20 patients, the sample mean of Triglycerides level is 122 and the sample standard deviation is 20. Calculate the test statistic value.

Answers

The test statistic value can be calculated using the formula (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

To calculate the test statistic value, we use the formula (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). In this case, the sample mean is 122, the population mean is 130, the sample standard deviation is 20, and the sample size is 20.

Test Statistic Value = (122 - 130) / (20 / sqrt(20))

                     = (-8) / (20 / 4.47)

                     = -8 / 4.47

                     ≈ -1.79

Therefore, the test statistic value is approximately -1.79.

The test statistic value (t) measures the difference between the sample mean and the assumed population mean in terms of the standard error. It helps us determine the likelihood of obtaining such a sample mean if the population mean is indeed equal to the assumed value.

In this case, the test statistic value is -1.79, indicating that the sample mean is 1.79 standard errors below the assumed population mean of 130. The negative sign indicates that the sample mean is lower than the assumed value.

To determine the significance of this difference, we would compare the test statistic to critical values from the t-distribution or calculate the p-value associated with the observed test statistic. This would allow us to make conclusions about the statistical significance of the difference between the sample mean and the assumed population mean.

To know more about test statistic, refer here:

https://brainly.com/question/32201536#

#SPJ11

Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil?

Answers

Answer:

2.5 liters of gas is used with per liter of oil

Step-by-step explanation:

Max is missing oil and gas for his moped.

Amount of gas used = 3.75 liters

Amount of oil required = 1.5 liters

Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]

                                                             = [tex]\frac{2.5}{1}[/tex]

That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters

Therefore, 2.5 liters of gas is used per liter of oil.

Question 6: Integration (12 marks) a. Which of the following definitions best describes the result of integrating a positive function f(x)? A The value of f(x) when == 0 B. The area between the curve of f(x) and the x-axis. C. The difference between the minimum of f(x) and the maximum of f(x). D. The gradient of f () at the point where x = 0. (1 mark) b. Which of the following is the general antiderivative of the function f(x) = 23+8x?? A 10x4 + 24x2 B. 2x° (x2 + 4) C. 2x6 + 8x4 D. 32° +2x4+C (1 mark) Which of the following statements is true for an odd function 9(2) ? 1 C. A. B. В S 0-2500 S = g(x) = 0 5 (2) = 0 Soo-a C. D (1 mark) d. By using the substitution 4x + 2 = u, show that the expression below is true. 1 +1 dx +C (4x + 2) 1600 + 8 (5 marks) e. Find the volume of the solid obtained when the area bounded by the curves below is rotated about the x-axis. Use the result shown in part (e) to assist you. Sa+gads 1 O x 1 = 0 (4 marks)

Answers

(a) The area between the curve of f(x) and the x-axis best describes the result of integrating a positive function f(x).

(b) The general antiderivative of the function f(x) = 23 + 8x is 2x³ + 4x² + C.

Hence, option (C) is the correct answer.

(c) An odd function satisfies f(-x) = -f(x). Thus, for an odd function f(x), the integral from -a to a is equal to zero because f(x) and -f(x) will have opposite signs, and the areas will cancel each other out. Hence, option (A) is the correct answer.

(d) To use the substitution u = 4x + 2, we need to find dx in terms of du.du = d/dx (4x + 2) dx= 4dxIntegrating both sides gives ∫du/4 = ∫dx/ (4x + 2). Therefore, the given expression becomes, ∫ 1/(4x + 2) dx = (1/4)∫du/u= (1/4)ln|u|+C= (1/4) ln|4x + 2| + C. Hence, (1/4) ln|4x + 2| + C is true by using the substitution 4x + 2 = u.

(e) The given function can be graphed as below: [tex]\int_0^1 (x^2 + 1) dx = \frac{4}{3}[/tex] We need to use the disk method to find the volume of the solid generated by rotating the region bounded by the curves about the x-axis. We need to consider an elemental area, find its volume, and integrate it over the region of interest. We know that the volume of the disk is given by V = πr²h, where r is the radius and h is the height of the disk. Let us consider an elemental area, A of the region rotated about the x-axis. If we rotate this area through a small angle, θ, then the area of the sector generated is given by d A = πr²dθ/2π = r²dθ/2. The radius of the disk is x, and the height is given by g(x) - f(x). Thus, V = ∫[g(x) - f(x)]²πx²dx.In this case, we have g(x) = x + 1 and f(x) = x². Substituting these values, V = π∫(x + 1 - x²)² x² dx. The limits of integration are from 0 to 1.

Therefore, V = π∫[x⁴ - 2x³ + x² + 2x + 1]dx= π[x⁵/5 - x⁴/2 + x³/3 + x² + x]₀¹= π[(1/5) - (1/2) + (1/3) + 1 + 1]

The volume of the solid obtained is, V = π[(8/15) + 2] = (14π/15).

Hence, the volume of the solid obtained when the area bounded by the curves below is rotated about the x-axis is (14π/15).

To know more about volume refer to:

https://brainly.com/question/6204273

#SPJ11

Determine volume of a cylindre r2 + y2 = 4 inside a sphere r2 + y2 +22 = 16

Answers

The volume of the cylinder inside the given sphere is 8 cubic units.

How to determine the volume of the cylinder inside the given sphere?

To determine the volume of the cylinder inside the given sphere, we need to find the limits of integration and set up the integral.

Let's analyze the equations:

Cylinder equation:[tex]r^2 + y^2 = 4[/tex]

Sphere equation: [tex]r^2 + y^2 + 2^2 = 16[/tex]

From the equations, we can see that the cylinder is centered at the origin (0, 0) with a radius of 2 and an infinite height along the y-axis. The sphere is centered at the origin as well, with a radius of 4.

To find the limits of integration, we need to determine where the cylinder intersects the sphere. By substituting the cylinder equation into the sphere equation, we can solve for the values of r and y:

[tex](2^2) + y^2 + 2^2 = 16\\4 + y^2 + 4 = 16\\y^2 = 8[/tex]

y = ±√8

We can see that the cylinder intersects the sphere at y = √8 and y = -√8. Since the cylinder has infinite height, the limits of integration for y will be from -√8 to √8.

Now we can set up the integral to calculate the volume of the cylinder:

V = ∫∫∫ dV

  = [tex]\int_0^ 2 \int_{\sqrt -8} ^ {\sqrt 8}\int _{\sqrt-(16 - r^2 - y^2)} ^{\sqrt (16 - r^2 - y^2)} dz dy dr[/tex]

Since the integrand is equal to 1, we can simplify the integral to:

V = [tex]\int_0 ^ 2 \int _{-\sqrt8} ^ {\sqrt8} 2\sqrt{(16 - r^2 - y^2)}[/tex] dy dr

Evaluating this integral will give us the volume of the cylinder inside the sphere.

To evaluate the integral and calculate the volume, we can integrate the given expression with respect to y first and then with respect to r.

[tex]\int_0 ^ 2 \int _{-\sqrt8} ^ {\sqrt8} 2\sqrt{(16 - r^2 - y^2)}[/tex]

Let's begin by integrating with respect to y:

[tex]\int_{-\sqrt8} ^ {\sqrt8} 2\sqrt(16 - r^2 - y^2) dy[/tex]

We can simplify the integrand using the trigonometric substitution y = √8sinθ:

dy = √8cosθ dθ

y = √8sinθ

Replacing y and dy in the integral:

[tex]\int _{-\pi /2} ^{\pi/2} 2\sqrt(16 - r^2 - (\sqrt 8sin\theta)^2) \sqrt 8cos\theta d\theta[/tex]

= 16[tex]\int _{-\pi /2} ^ {\pi /2} \sqrt(1 - (r/4)^2 - sin^2\theta)[/tex]cosθ dθ

To simplify the integral further, we can use the trigonometric identity [tex]sin^2\theta + cos^2\theta = 1:[/tex]

16[tex]\int _{-\pi /2} ^ {\pi /2} \sqrt(1 - (r/4)^2 - sin^2\theta)[/tex]cosθ dθ

= 16 [tex]\int _{-\pi /2} ^ {\pi /2} \sqrt(r^2/16)[1 - cos^2\theta][/tex]cosθ dθ

= 4r[tex]\int _{-\pi/2} ^ {\pi/2}[/tex] sinθ cosθ dθ

= 4r [tex][ -cos^2\theta/2[/tex] ]| [-π/2 to π/2 ]

= 4r [ [tex]-cos^2(\pi/2)/2 + cos^2(-\pi/2)/2[/tex] ]

= 4r [ -1/2 + 1/2 ]

= 4r

Now, we can integrate with respect to r:

[tex]\int_0 ^ 2[/tex] 4r dr

= 2[tex]r^2[/tex]| [0 to 2]

= 2[tex](2^2 - 0^2)[/tex]

= 2(4)

= 8

Therefore, the volume of the cylinder is 8 cubic units.

Learn more about volume of a cylinder

brainly.com/question/32053067

#SPJ11

Find the value of x.

Answers

hello i know its wrong but lol. i tried to help.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

One solution

I actually do not think you're going to give me brainliest

I think it’s one solution but I’m not sure.

Find the volume and total area of the right circular cone.

Answers

To find the volume and total area of the right circular cone, we will use the formulas below. Volume of the right circular cone: $$V = \frac{1}{3}πr^2h$$

Total surface area of the right circular cone:$$A = πr^2 + πrl$$, Where r is the radius, l is the slant height and h is the height of the cone.π (pi) is a mathematical constant that is approximately equal to 3.14159 and is used to calculate the circumference and area of a circle. The radius of the right circular cone is 3.5 cm and its height is 7 cm. To calculate the slant height, we will use the Pythagorean theorem which states that the square of the hypotenuse (l) is equal to the sum of the squares of the other two sides:$$l^2 = r^2 + h^2$$$$l = \sqrt{r^2 + h^2} = \sqrt{3.5^2 + 7^2} \approx 7.98\ cm$$

Volume of the right circular cone:$$V = \frac{1}{3}πr^2h = \frac{1}{3}π(3.5)^2(7) \approx 89.75\ cm^3$$. Total surface area of the right circular cone:$$A = πr^2 + πrl = π(3.5)^2 + π(3.5)(7.98) \approx 91.86\ cm^2$$. Hence, the volume of the right circular cone is approximately 89.75 cm³ and the total surface area is approximately 91.86 cm².

To know more about Pythagorean theorem refer to:

https://brainly.com/question/343682

#SPJ11

Which sequences are geometric? Check all that apply. –2, –4, –6, –8, –10, … 16, –8, 4, –2, 1 –15, –18, –21.6, –25.92, –31.104, … 4, 10.5, 17, 23.5, 30, … 625, 125, 25, 5, 1, …

Answers

Answer:

16,-8,4,-2,1

-15,-18,-21.6,25.92,-31.104...

625,125,25,5,1

Step-by-step explanation:

Answer: 16, –8, 4, –2, 1. has a common ratio,r = (-1/2)

-15, –18, –21.6, –25.92, –31.104 has a common ratio, r = (1.2)

625, 125, 25, 5, 1 has a common ratio, r= (1/5)

Step-by-step explanation: just took the test

Other Questions
Given the function f defined as: f: R R f(x) = 2x + 1 Select the correct statements 1.f is a function O2.f is bijective 3. f is onto 4.f is one to one 5. None of the given statements which of the following is not included in gdp? academic heros In a deck of playing cards, what is the probability of obtaininga (5) or a black card for a randomly drawn card? Find the mean , median, mode and range of the following sets of data2,3,4,3,5,5,6,7,8,9,6,6,5,313,7,8,8,2,9,11,7,8,4,545,48,60,42,53,47,51,54,49,48,47,53,48,44,46 Calculate the energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm. 4.85 x 10^-19 j2.06 x 10^-19 j1.23 x 10^-19j8.13 x 10^-19 j5.27 x 10^-19j A laboratory supervisor is authorized to purchase a new osmometer. The supervisor must decide between a freezing-point and a vapor-pressure model.Using the information provided, what substance is used as a reference standard in both models?A. Deionized waterB. NaClC. KClD. Distilled water on january 6, year 1, bulldog co. purchased 34% of the outstanding stock of gator co. for $212,000. gator co. paid total dividends of $24,000 to all shareholders on june 30. gator had a net loss of $56,000 for year 1. journalize bulldog's purchase of the stock, receipt of the dividends, and the adjusting entry for the equity loss in gator co. stock. compute the balance of investment in gator co. stock on december 31, year 1. how does valuing an investment under the equity method differ from valuing an investment at fair value? Prove the following? If light that is initially natural and of flux density Ii passes through two sheets of HN-32 whose transmission axes are parallel, what will be the flux density of the emerging beam? 8.11 What will be the irradiance of the emerging beam if the ana- lyzer of the previous problem is rotated 30? A mass-spring oscillator has a mass of 2 kg, a spring constant of 34 N/m and a damping constant of 4 Ns/m. It is stretched to a displacement of 10 m and released from rest. a. Assuming there are no external forces, model the spring's displacement as a function of time. Graph your answer and describe its asymptotic behavior in a sentence. b. Now assume that at t seconds, there is an external force (in Newtons) given by Fexr(t) = 130 cos(t). (Assume the external force is oriented parallel to the spring) Write an initial value problem describing the motion of the system. c. Solve the above system to write the displacement as a function of time. Graph your answer and describe its asymptotic behavior in a sentence. d. Repeat parts b and c, assuming there is no friction. Carbon dioxide emissions are one of the major causes of air pollution. Whenever a firm emits carbon dioxide due to its business activities, it creates externalities for others.(a) Should carbon dioxide emissions be banned completely from an economic perspective? "Completely banned" means no firms can emit carbon dioxide. Please explain.Consider a world with three firms. Carbon dioxide emissions by different firms are different, and the cost of reducing emissions varies among them as shown in the following table:Firm Emission of CO2 Cost of Reducing Emission by 1 UnitA 50 units $20B 30 units $30C 40 units $40Now, suppose all governments in the world agree to use emission permits to control the total amount of carbon dioxide to be emitted, and all governments in the world want to reduce the emission to 60 units. As a result, 60 permits will be issued and the holder of 1 emission permit can emit 1 unit of carbon dioxide legally.(b) If each firm will be given 20 permits, will voluntarily trade happen among the firms? Describe who are buyers and who are sellers and how many permits will be traded among them.(c) From the perspective of economic efficiency, should the permits for the emission of carbon dioxide be distributed equally among firms (that is each firm receives 20 permits) or by using auction (which is buyers willing to pay the highest price will get the permits)? Explain. Problem 3. Determine whether the statement is true or false. Prove the statement directly from definitions if it is true, and give a counterexample if it is false. (1) There exists an integer m 23 such that 6m +27 is prime. (2) For all integers a and b, if a divides b, then a divides b. (3) If m is an odd integer, then 3m + 7m +12 is an even integer. 5. (20 pts) FGS 9.5 - If the price elasticity of demand is -0.5 and the income elasticity is +0.3, then what will be the effect of a simultaneous 10 percent increase in price and a 10 percent increase For the following problems, consider that in 2005, 87 million American women drove about 860 billion miles and about 13,000 were involved in fatal accidents.How many miles did the average woman drive? 2. Aman: Im adding weight recently.Muna: _____________________________________________. Which of the following is correct about a monopsonistic market? Resources are efficiently allocated.There is one supplier and many buyers.The monopsony has the same quantity transacted as in a perfectly competitive market.The supply curve is horizontal and is equal to the average cost of labor.Purchase of an additional item increases the price of the item and of the existing items being purchased. The nurse is writing a care plan for the nursing diagnosis "Knowledge deficit related to proper seat belt use, as evidenced by improper buckling of seat belt." Choose goals that are appropriate for this diagnosis. Select all that apply.The parents will voice an understanding that a rear-facing car seat should be used until at least the age of 2.The parents will demonstrate the proper use of a car seat with a harness strap for the child under the age of 2.The parents will voice an understanding that the child should not sit in the front seat of the vehicle.The parents will demonstrate the proper use of the seat belt for securing the child car seat.The parents will voice an understanding that in trucks the car seat will be placed in the back Suppose that the following two sceanrios occur one after another: Scenario 1: A newly established trade agreement between the UK and Australia, leads to an increase in net exports from the UK to Australia. Scenario 2: The Reserve Bank of Australia decides to hold more British Pounds (GBP) in its foreign reserves. Scenario 1 will cause the AUD to against the GBP and scenario 2 will cause the GBP to against the AUD. O depreciate; appreciate appreciate; appreciate depreciate; depreciate O appreciate; depreciate stabilize; depreciate Select which Statement below summarizes Goals Communism and Fascism based on the following text."Communist and fascist governments resemble each other in some ways. In both, a dictator often rules. Both suppress opposition and claim that individual liberties must be sacrificed for the greater good of society. Both tend toward totalitarian control of people's lives. But their economic policies are different, and so are their larger goals. In a communist society, the government directs the economy and owns most or all of the land, factories, and other resources that contribute to the economy. In theory, workers control the production of goods and share property. The stated goal of communism is a world in which social classes disappear and all people are treated equally. That's the theory in reality, leaders of communist nations usually have far more material goods and privileges than the workers, who lack both wealth and freedom. A fascist government allows individuals to own property and businesses, but it maintains strict control over economic activity, and makes sure that private businesses serve the government's goals. Fascism glorifies the nation and its leaders, and calls on citizens to put the interests of the nation above individual interests. Fascist regimes often use war as a way to expand and strengthen the state. They reject the idea of equality for all. On the contrary, fascists often persecute minorities, and claim that their own national group is superior to others and therefore destined to rule."options:A.There are no similarities at all between Communist and Fascist nations. B.Communism has total economic control while Fascism is all about free trade and capitalism with no economic controls. C.Communist governments allowed freedom and elections almost always while Fascist governments only allow some freedoms like freedom of the press.D.Both systems use tight control of peoples freedoms and the economy. Communism aims to make all workers equal, while Fascist want all power to go to the State/Nation. a potter's wheel, with rotational inertia is spinning freely at 40 rpm. the potter drops a lump of clay onto the wheel, where it sticks a distance 1.3 m from the rotational axis. if the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?