The average length of "short hospital stays" for men is slightly longer than that for women, 5.6 days versus 4.5 days. A random sample of recent hospital stays for both me and women revealed the following.
1. The goal of the study is to determine if there is sufficient evidence to conclude, at α = 0.01, that the average hospital stay for men is longer than the average hospital stay for women?
Men Women
Sample size 37 35
Sample mean 5.6 days 4.5 days
Population standard deviation 1.2 days 1.6 days
2. What would be the critical value(s)?
A) +_2.58
B) 2.58
C) 2.33
D) +_2.33

Answers

Answer 1

Answer:

1) There is enough evidence to support the claim that the average hospital stay for men is longer than the average hospital stay for women. (P-value = 0.00051).

2) zc=2.33

Step-by-step explanation:

1) This is a hypothesis test for the difference between populations means.

The claim is that the average hospital stay for men is longer than the average hospital stay for women.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

The significance level is 0.01.

The sample 1, of size n1=37 has a mean of 5.6 and a standard deviation of 1.2.

The sample 2, of size n2=35 has a mean of 4.5 and a standard deviation of 1.6.

The difference between sample means is Md=1.1.

[tex]M_d=M_1-M_2=5.6-4.5=1.1[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1.2^2}{37}+\dfrac{1.6^2}{35}}\\\\\\s_{M_d}=\sqrt{0.039+0.073}=\sqrt{0.112}=0.335[/tex]

Then, as we know the population standard deviation of both, we can calculate the z-statistic as:

[tex]z=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{1.1-0}{0.335}=\dfrac{1.1}{0.335}=3.29[/tex]

This test is a right-tailed test, with z=3.29, so the P-value for this test is calculated as:

[tex]P-value=P(z>3.29)=0.00051[/tex]

As the P-value (0.00051) is smaller than the significance level (0.01), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average hospital stay for men is longer than the average hospital stay for women.

2. The critical values for this right tail test are calculated from the z-table and the significance level (α=0.01)

[tex]P(z>z_c)=0.01[/tex]

This happens for zc=2.33:

[tex]P(z>2.33)=0.01[/tex]


Related Questions

Question 1) A 6-pack of DVDs costs $10.80. What is the unit price? *
5 points
$1.08
$64.08
$64.80
$1.80

Answers

Answer:

the answer will might be A yeah I'm sure the answer is A

ThE answe is A I’m pretty sure

Use substitution to solve the system of equation. 2x+2y=8 x+y=-2

Answers

Answer:

Step-by-step explanation:

find the value of y in the second equation

x + y = -2,

but y = -2-x as well

so take the value that we have found for (x) into the first equation

2x + 2(-2-x)= 8

-2x + -4-2x = 8

-4x-4=8

-4x = 12

x=-3,

now just substitute x value into either equation

x + y =-2

-3 + y = -2

y =1

Find the distance between the points (-2, 3) and (5, -1). Round to the nearest
tenth.​

Answers

Answer:

8.062258

Step-by-step explanation:

d = 8.062258

For:

(-2, 3)

(5, -1)

Distance Equation Solution:

d=√(5−(−2))2+(−1−3)2

d=√(7)2+(−4)2

d=√49+16

d=6–√5

I belive the answer is

d=8.062258

ASAP! ALGEBRA 1! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! No guessing. Show your work or give an explaination.

Answers

Answer:

The first one is B because it does pass the vertical line test... (there is no explanation because it does pass the line test)

the second one is D or B... I don't know which one but there you go!!

I tried!!!

Step-by-step explanation:

I want brainliest

Felix calcutaed the area of a triangle with a base of 3 inches and a height of 1.5 inches Edith calculated the area of aa trapezoid with a height of 2 inches and parallel beaded of 4 inches and 6 inches their work is shown below what error did they both make in this work

Answers

Answer:

C), they didn't multiply by one half

Step-by-step explanation:

just did it on edge

Answer:

The answer is C

Step-by-step explanation:

» Which expression is not equal to 30?

|(120 : 20) x (2+3)

(9 x 10) : (4 + 1) +12

(2 x 60 : 30) x (24 + 2)

2 + (30 - 8:4)

Answers

Answer:

Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Step-by-step explanation:

We want to find which of the expression is not equal to 30.

1) (120 : 20) x (2+3)

Using BODMAS, we will solve the brackets first. So, we have;

(120/20) × 5

Note that a ratio implies division.

So, we have;

6 x 5 = 30

2) (9 x 10) : (4 + 1) + 12

Again, using BODMAS, solve the brackets first.

90 : 5 + 12

Ratio symbol is division and so it come before addition in BODMAS.

So, we have;

(90/5) + 12 = 18 + 12 = 30

3) (2 x 60 : 30) x (24 + 2)

Again, using BODMAS, solve the brackets first.

In the first bracket, we'll use division first before multiplication.

(2 x 60/30) x (26) =

2 x 2 x 26 = 104

4) 2 + (30 - 8:4)

Again, using BODMAS, solve the brackets first.

In the second bracket, division goes first. So,

2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30

So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?

Answers

Answer:

Mode:7

Median:2

Mean:5.2

Range:7

Step-by-step explanation:

see the picture attached

The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.

Given :

Numbers  --  3, 7, 2, 4, 7, 5, 7, 1, 8, 8

a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.

b) The median of the given series is 5 and 7.

c) The formula of mean is used in order to determine the mean of the given series.

[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]

[tex]\rm Mean = \dfrac{52}{10}[/tex]

[tex]\rm Mean = 5.2[/tex]

d) The range of the given series is calculated as:

[tex]\rm Range = 8-1[/tex]

[tex]\rm Range = 7[/tex]

For more information, refer to the link given below:

https://brainly.com/question/300591

G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.

Answers

Answer:

-5t^2+2t-3

Step-by-step explanation:

a culture started with 3000 bacteria. After 5 hours it grew to 3900 bacteria. Predict how many will be present after 9 hours

Answers

Answer:

  4811

Step-by-step explanation:

The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...

  n(t) = (initial number)·(growth factor)^(t/(time for growth factor))

  n(t) = 3000·1.3^(t/5)

Then the number present after 9 hours is ...

  n(9) = 3000·(1.3^9/5) ≈ 4811

Answer:

4811

Step-by-step explanation:

FOR PLATO

Find the constant of proportionality k. Then write an equation for the relationship between x and y.

Answers

Answer:

k= 5

Equation is: y=5x

What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2

Answers

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 [tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]

where area of the circle = πr²

∴ for the given circle,

[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]

                            =  [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]

                            = [tex]\frac{100}{360}\times 1017.36[/tex]

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².

What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?
A.
3
y=--x+8
2
B.
3
y = -x-4
2
C.
y = -X
2
D.
2
y = -x-4
3

Answers

Answer:

Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.

Lemme know if it worked for you and if you have further questions.

Step-by-step explanation:

3x - 2y = -6

can be rewritten as

2y = 3x + 6

or simpler

y = 1.5x + 3

we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.

y = 1.5x + b

(the letter b is now what we try to solve for)

now let's plug in the x-/y-Informations of the given point

2 = 1.5 * 4 + b

2 = 6 + b

-4 = b

so the new line is

y = 1.5x -4

(the given point lies on that line and it's parallel to the other line)

let's multiply everything by two to get closer to the original format

2y = 3x -8

it could also be expressed as

2y = -(-3x+8)

(in hope that this may help for choosing an answer option)

please clean up the text of questions before posting next time

(would really appreciate the brainliest)

A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help

Answers

Answer:

first is true

second is false

third is true

fourth is false

the last few questions about the volume are a little choppy, but the correct volume is 268cm³.

Step-by-step explanation:

hope this helps<<3

A top swimmer would be able to swim across a 25-meter pool in about 1/5
of a minute. How fast can a top swimmer go?

Answers

Answer:

125 m/min

Step-by-step explanation:

Find the rate (speed) as follows:

 25 meters

--------------------- = (125/1) meters/min = 125 m/min

(1/5) minute

This is equivalent to about 380 ft/min

The drama club at Del Rosa Middle School is having a production.
Tickets cost $3 for students and $5 for adults. A total of 500 tickets
were sold, bringing in $1860. How many of each kind of ticket was
sold?

Answers

Answer:

320 Student Tickets

180 Adult Tickets

Step-by-step explanation:

You can solve this problem by using system of equations. First, we need to figure out our equations.

Equation 1: x as students and y as adults

[tex]x+y=500[/tex]

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.

Equation 2:

[tex]3x+5y=1850[/tex]

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.

Now that we have out equations, we can use system of equations to find our students and adults.

[tex]x+y=500[/tex]

[tex]3x+5y=1860[/tex]

Typically elimination is the easiest strategy because you are able to cross out variables.

[tex]3(x+y=500)[/tex]

[tex]3x+5y=1860[/tex]

Becomes:

[tex]3x+3y=1500[/tex]

[tex]3x+5y=1860[/tex]

We see that both equations now have 3x. We can cancel out 3x.

[tex]-2y=-360[/tex]

[tex]y=180[/tex]

Now that we know y=180, we can plug it back into one of our equations to find x.

[tex]x+180=500[/tex]

[tex]x=320[/tex]

320 student tickets and 180 adult tickets were sold.

Daniel works for a pest control company and is spraying all the lawns in a neighborhood. Each lawn in a neighborhood is approximately 0.2 acres in size and takes the same amount of time to spray. He started at the first house at 9:00 AM and the sixth house at 10:00 AM, and Daniel sprays 21 houses in total. How many minutes will it take Daniel to spray all of the lawns in the neighborhood?

Answers

Answer:

252 minutes

Step-by-step explanation:

All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.

He started the first house at 9:00 AM and the sixth house at 10:00 AM.

Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.

1 hour = 60 minutes

60 minutes per 5 lawns = 60/5 minutes/lawn

which can be reduced to

12 minutes per lawn

His unit rate is 12 minutes/lawn.

Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.

12 minutes/lawn * 21 lawns = 252 minutes

Answer: 252 minutes

Find the midpoint for the segment with endpoints of (3, 2) and (9,6).​

Answers

the midpoint is (6,4)

Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player score for every additional hour of practice? of a goal of a goal 1 goal goals

Answers

Answer:

3/4th of a goal

Step-by-step explanation:

just answered the question

The number of goals that a player would score in every additional hour would be 3/4th of a goal.

How to solve for the goal

The equation of the slope of a line =

y2-y1/x2-x1

= 6-2/6.5 -1.5

= 4/5

This is the best option that is closest to the goal that would be scored based on the regression line that is contained in the question.

Complete question

Use the regression line for the data in the scatter plot to answer the question. On average, how many more goals will a player score for every additional hour of practice?

A. )1/2 of a goal

B. )3/4of a goal

C.) 1 goal

D.) 4/3 goals

Read more on slope here: https://brainly.com/question/6704074

#SPJ2


From a batch of 13 students who had appeared in an examination, 4 students
were failed. The marks of passed students were 43, 57, 45, 61, 75, 64,53,50 and
40. Calculate median marks of all students.​

Answers

Answer:

37 7/13

Step-by-step explanation:

there are 13 students

total marks of students is488

therefore we are finding the median

=488/13

=37 7/13

Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph

Answers

Answer:

Sally ran an average of 3 mph

Step-by-step explanation:

If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph

The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute. Use the critical value method of testing hypotheses. 87 89 69 63 70 65 88 84 58 53 66 70Ho= H1=Critical value=P Value=Test Value=

Answers

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let [tex]\mu[/tex] = mean resting pulse rate for men.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean mean resting pulse rate = [tex]\frac{\sum X}{n}[/tex]

                =  [tex]\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}[/tex]  = 71.83 beats/minute

            [tex]\sigma[/tex] = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, the test statistics  =  [tex]\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }[/tex]    

                                     =  -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

            P(Z < -0.23) = 1 - P(Z [tex]\leq[/tex] 0.23)

                                 = 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

Use angles shown to make other angles ... Please help.. I know I have a lot of these but help ...

Answers

The right answer is <DEF and <GHJ.

EXPLANATION:

if we add 40 degree and 50 degree then it will result to 90 degree .

Right angles are those angles which is exactly 90 degree.

Hope it will help you.....

Follow me for more....

-pragya~~

Step-by-step explanation:

angles GHJ and DEF

50+40=90

The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 4, 3, 2, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries 5, 5, 5, 5, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1.

Answers

Answer:

A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.

Step-by-step explanation:

The table with all y-values the same will graph as a horizontal line, a line with a slope of zero.

Apparently, the first table is like that.

Answer:

A is the answer

Step-by-step explanation:

just took the test

Dada la siguiente ecuación y= 4x +3
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tan⁡m)
Dada la siguiente ecuación y= -4x -2
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tan⁡m)

Answers

Answer:

The given equation is

[tex]y=4x+3[/tex]

To graph this equation, we need to create a table for all the coordinates pairs.

 X      Y

 0      3

-3/4    0

So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.

To find the slope, we use those points.

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]

So, the slope is 4.

The angle of inclination is found by the formula

[tex]tan \theta = m[/tex]

Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.

[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]

Therefore, the angle of inclination is 76°, approximately.

Using coordinates in proofs 2
Simplify QP

Answers

Answer:

First Slot is B and the second slot is A

Step-by-step explanation:

B is in the x coordinate

A is in the y coordinate

And when you look at the formula it should make sense ;D

3/4 + ( 1/3 divided by 1/6 ) - (-1/2)

Answers

Answer:

3.25

Step-by-step explanation:

WHICH OF THE FOLLOWING EQUATIONS REPRESENTS A LINE THAT IS PERPENDICULAR TO y= -2x + 4 and passes though the point, (4,2)? HELP!!!!

Answers

Answer:

Step-by-step explanation:

the slope perpendicular is 1/2

y - 2 = 1/2(x - 4)

y - 2 = 1/2x - 2

y = 1/2x

Please answer this correctly

Answers

Answer:

The answer is 19.

Step-by-step explanation:

Because the 10 is 6 more than the 4, we subtract 6 from 25 (because they said that they were similar).

If 5+20-22-3x = 10-2-2x + 5, what is the value of x?
-3
-2
2
3

Answers

Answer: 3

Step-by-step explanation: edge (other girl is obviously challenged if she didn’t see the possible answers...)

A graphic designer makes a sketch for an image that will appear on a poster. The width of the sketch is 14 in. She figures that it should be enlarged to 220% to make the final image. How wide will the final image be?

Answers

Answer:

220

Step-by-step explanation:

Other Questions
Can you translate this to german??HelloWhere did u go?I went to the nearby store Sketch the simple Lewis dot structures and the predicted VSEPR shapes for each of the following species. Be sure to clearly indicate lone pair electrons, multiple bonds (double or triple), and any three-dimensionality (using dashes and wedges). For any ions, dont forget to account for the charge when calculating valence electrons! Only expand the octet of the central atom when absolutely necessary.A. CO2 B. CS2 C. SeCL D. SO2 E. SO32- F. CO32- G. N3- The Merchant Company issued 10-year bonds on January 1. The 15% bonds have a face value of $100,000 and pay interest every January 1 and July 1. The bonds were sold for $117,205 based on the market interest rate of 12%. Merchant uses the effective interest method to amortize bond discounts and premiums. On July 1 of the first year, Merchant should record interest expense (round to the nearest dollar) of:__________.a) $7,032 b) $8,790 c) $14,065 d) $7,500 A statistics student wants to examine if there is a difference in the commute times for students and faculty at her community college. She collected data from a random sample of 10 faculty and 10 students. The commute times (in minutes) are given below. Faculty 5 12 12 15 12 22 25 30 35 45 Students 10 12 14 15 15 20 22 24 25 30 Determine and enter the five-number summary for the commute times (in minutes) of the two samples. Include all calculations in your answer, round to two decimal places. I'll give brainlist Which of the following most likely accounts for regional differences in thetypes of crops grown, the types of homes built, and the types of clothingworn in mid-nineteenth century China? *A. Nationalist sentimentsB. Geography and climateC. Social and economic mobility D. Imperialist government policies Drag the tiles to the boxes to form correct pairs.Match each term with its definition.shared dependence of countrieson goods, labor, or resourcesfrom other countriesprocess in which countries, economies,or societies become integrated withothers around the worldpractice of sending jobs to companiesin other countries; usually the work issent to developing countriesheat that gets trapped in theatmosphere and causes an increasein Earths overall temperatureglobalizationarrowRightgreenhouse effectarrowRightinterdependencearrowRightoutsourcingarrowRight Photosynthesis occurs in the ____________and cellular respiration occurs in the ___________.Group of answer choices Juan no est aqu. Puedes llamarlo luego.correctincorrect Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Allison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?A.4B.5C.8D.9 Global phytoplankton levels a. decrease in the summer and increase in the winter b. remain the same in the summer and winter c. increase in the summer and decrease in the winter The measures of the interior angles of a convex hexagon form an increasing arithmetic sequence. How many such sequences are possible if the hexagon is not equiangular and all of the angle degree measures are positive integers less than degrees? Edgerron Company is able to produce two products, G and B, with the same machine in its factory. The following information is available. Product G Product B Selling price per unit $150 $180 Variable costs per unit 60 108 Contribution margin per unit $90 $72 Machine hours to produce 1 unit 0.4 hours 1.0 hours Maximum unit sales per month 550 units 200 units The company presently operates the machine for a single eight-hour shift for 22 working days each month. Management is thinking about operating the machine for two shifts, which will increase its productivity by another eight hours per day for 22 days per month. This change would require $9,000 additional fixed costs per month. (Round hours per unit answers to 1 decimal place. Enter operating losses, if any, as negative values.)Required:1. Determine the contribution margin per machine hour that each product generates.2. How many units of product G and product B should the company produce if it continues to operate with only one shift? How much total contribution margin does this mix produce each month? You have $20 to spend. You buy socks that cost $3 per pair. Write an algebraic expression for the amount of money you have left after buying s pairs of socks. Coronado Family Instruments makes cellos. During the past year, the company made 6,370 cellos even though the budget planned for only 5,500. The company paid its workers an average of $15 per hour, which was $1 higher than the standard labor rate. The production manager budgets four direct labor hours per cello. During the year, a total of 25,000 direct labor hours were worked. Calculate the direct labor rate and efficiency variances. (If variance is zero, select "Not Applicable" and enter 0 for the amounts.) "But it's only a big pencil," the Humbug objected, tapping it with his cane. "True enough," agreed the Mathemagician, "but once you learn to use it, there's no end to what you can do." What theme is represented by these lines? Select the correct answer. Which pact signed by Germany was part of a European policy of appeasement? A. The Pact of Steel B. The Tripartite Pact C. The Munich Agreement D. The Berlin Pact Please anwser ASAP, question below What is the same about the moons rotation and revolution around Earth? A rectangle's length is 4 more than twice its width. Itsarea is 240 square centimeters.Complete the work to find the dimensions of therectangle.w(2w + 4) = 2402w2 + 4w = 2402w2 + 4w - 240 = 02(w + 12)(w - 10) = 0What is the width of the rectangle?2w + 4 A = 240 cm2What is the length of the rectangle?w 12. Invention of the compass and astrolabe European dependence on spices from Asia Rise of nation-states in EuropeThese developments influenced the start of theA. CrusadesB. RenaissanceC. ReformationD. Age of Exploration