Mona is hang gliding \dfrac{5}{4}
4
5

start fraction, 5, divided by, 4, end fraction kilometers above sea level. Directly below her, she sees a whale 0.20.20, point, 2 kilometers below sea level.
Which of the following expressions represents the distance between Mona and the whale?
Choose 1 answer:

Answers

Answer 1

Answer:

A

Step-by-step explanation:

i promise it's A.

Answer 2
Final answer:

Mona is hang gliding 1.25 kilometers above sea level and a whale is 0.2 kilometers below sea level. The total distance between them is the sum of both distances, which is 1.45 kilometers.

Explanation:

The distance between Mona and the whale is given by the sum of 2 distances. One is Mona's altitude above sea level (5/4=1.25 kilometers) and the other is the whale's depth below sea level (0.2 kilometers). Both values should be added because both distances are defined with respect to the sea level, and their signs indicate direction rather than distance. Therefore, the expression that represents the distance between Mona and the whale is 1.25 km+0.2 km = 1.45 km, where 1.25 km is the distance Mona is gliding above the sea level and 0.2 km is the distance the whale is under the sea level.

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Related Questions

The down payment is the final payment you make when you are done paying off your loan. true or false?

Answers

Answer:

False

Step-by-step explanation:

The downpayment is the first payment you make, an initial deposit.

What is the order of the quadratic functions f(x)=−0.5x2,f(x)=14x2, and f(x)=x2 from the widest graph to the narrowest graph?

Answers

Answer:

[tex]f(x) = - 0.5 {x}^{2} \to \: f(x) = {x}^{2} \to \: f(x) = 14 {x}^{2} [/tex]

Step-by-step explanation:

The given quadratic functions are:

[tex]f(x) = - 0.5 {x}^{2} [/tex]

[tex]f(x) = 14 {x}^{2} [/tex]

[tex]f(x) = {x}^{2} [/tex]

We want to order these functions, from the widest to the narrowest.

How wide the graph will open depends on the absolute value of the coefficient of the function.

The smaller the absolute value of the coefficient, the wider the graph.

Since

[tex] | - 0.5| \: < \: |1| \: < \: |4| [/tex]

Therefore from the widest graph to the narrowest graph, we have:

[tex]f(x) = - 0.5 {x}^{2} \to \: f(x) = {x}^{2} \to \: f(x) = 14 {x}^{2} [/tex]

There are 10 players and 7 chairs. How likely is it that I will win
this round?

Answers

Answer:

70%

Step-by-step explanation:

To solve this problem, you simply divide 7 by 10.

7 ÷ 10 = .7

.7 is the decimal form of 70%. This means that you have a 70% chance of winning this round.

What is 0.5 in as hundredths in fraction form

Answers

The decimal 0.5 is equal to the fraction 1/2. To find this answer, you first look at the place value of the decimal. 0.5 is read as 'five tenths'

Answer:

50/100

Step-by-step explanation:

.5 is also known as 1/2 so if you think about 100 50 is half of 1 hundred.

Rewrite the quadratic equation 2x squared plus 12x plus 1 equal y

Answers

Answer:16x+1 = y

Step-by-step explanation:

2x squared is basically 2x times 2x which is 4x. So now that you eliminated that you have 4x+12x+1 = y . Now you have to group like terms. 4x+12x= 16x. So now you have 16+1 = y.

A website company charges $900 for developing a website and $150 for annual maintenance. What are the total fees for building a new website and maintaining it for 3 years?

A $1050

B $1250

C $1300

D $1350

Answers

Answer:

D. 1,350

Step-by-step explanation:

150x3= 450

450+900=1,350

D. $1350
$900 + $150 x 3 = $1350

In centimeters, what is the unknown length in this right triangle?
67cm
60 cm

Answers

Answer:

Since April 2020 wow

Step-by-step explanation:

HELP!!!! Due today!!!!

Answers

The congruent relationship between the triangles are;

10. ΔABC ≅ ΔDBC, SSS congruence rule

11. ΔABD ≅ ΔDBC, ASA congruence rule

12. ΔABC ≅ ΔDCB, SSS congruence rule

13. ΔABC ≅ ΔEDC, SAS congruence rule

14. ΔABC ≅ ΔDCB,  SAS congruence rule

15. ΔABC ≅ ΔDCB, SAS congruence rule

16. ΔABC ≅ ΔDBC, ASA congruence rule

17. ΔABC ≅ ΔEDC, LH congruence rule

18. ΔBAC ≅ ΔCDB, SSS, congruence rule

What are congruent triangles?

Congruent triangles have the same size and shape.

10. [tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex] by the reflexive property, [tex]\overline{AC}[/tex] is congruent to [tex]\overline{CD}[/tex] by the definition of midpoint of [tex]\overline{AD}[/tex], therefore;

ΔABC is congruent to ΔDBC by the Side Side Side, SSS, congruence rule

11. ∠ABC is congruent to ∠DBC (definition of bisected angle)

ΔABD is congruent to ΔDBC by the Angle Side Angle, ASA congruence rule

12. The reflexive property indicates that line segment [tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex], therefore; ΔABC is congruent to ΔDCB by the Side Side Side, SSS congruence rule

13. The definition of bisected line segments indicates; [tex]\overline{AC}[/tex] is congruent to [tex]\overline{CE}[/tex] and [tex]\overline{BC}[/tex] is congruent to [tex]\overline{CD}[/tex]

∠ECD is congruent to ∠BCA (Vertical angles theorem)

Therefore, ΔABC is congruent to ΔEDC by the Side Angle Side SAS congruence rule

14. [tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex] reflexive property, therefore;

ΔABC is congruent to ΔDCB by the Side Angle Side, SAS, congruence rule

15. The alternate interior angles and a facing side of the quadrilateral ABCD are congruent, the location of the angles and the sides indicates that ABCD is a parallelogram

[tex]\overline{BD}[/tex] is congruent to [tex]\overline{AC}[/tex] (Properties of the facing sides of a parallelogram)

ΔABC is congruent to ΔDCB by the Side Angle Side, SAS, congruence rule

16. [tex]\overline{CB}[/tex] is congruent to [tex]\overline{CB}[/tex] (reflexive property)

∠ACB is congruent to ∠DCB and ∠CBA is congruent to ∠CBD (Definition of bisected angles ∠DCA and ∠DBA)

ΔABC is congruent to ΔDBC by the Angle Side Angle, ASA congruence rule

17. [tex]\overline{AC}[/tex] is congruent to [tex]\overline{CE}[/tex], definition of bisected line segment [tex]\overline{AE}[/tex]

ΔABC is congruent to ΔEDC by the Leg Hypotenuse, LH, congruence rule

18. Quadrilateral ABCD is a parallelogram (Definition of a parallelogram)

[tex]\overline{AC}[/tex] is congruent to [tex]\overline{BD}[/tex] and [tex]\overline{AB}[/tex] is congruent to [tex]\overline{CD}[/tex] (Properties of a parallelogram)

[tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex] (Reflexive property)

ΔBAC is congruent to ΔCDB by the Side Side Side, SSS, congruence rule

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What is the equation of a circle with radius 4 and center (0,8)?

Answers

Answer:

x^2 + (y-8)^2 = 16

Step-by-step explanation:

1. Start with the formula for a circle:

(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius

2. Plug in values for the center coordinates and the radius:

(x-0)^2 + (y-8)^2 = 4^2

3. Simplify:

x^2 + (y-8)^2 = 16

Please Help with number 17. Please show the steps. Easy Points.

Answers

Answer:

w= 3.4

Step-by-step explanation:

.6+w=4

in order to solve for w you have to subtract.6 from both sides leaving w to equal 3.4

W=3.4

Please answer this question, I will give 5 stars and thanks, even if it is incorrect. If you have any questions, go to "Ask For Details".

Answers

Answer:

the theoretical probability is 1/5.

the experimental probability is 3/10.

chances are the experimental probobility will approach the theoretical probobility.

Step-by-step explanation:

since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.

the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.

last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.

How many triangles can you construct with the angle measures of 50, 70, and 100?

Answers

Answer:

0

Step-by-step explanation:

You can't construct any triangles with those angles. Because when you add all the angles of a triangle, it has to add up to 180. But when we add 50,70, and 100, it equals 220. So you can't construct any triangles.

Hope this helps. (If it does, please mark me brainliest)

Write 72 out of 96 in fraction form

Answers

Answer:

[tex]\frac{72}{96} =\frac{36}{48}=\frac{18}{24} =\frac{9}{12} =\frac{3}{4}[/tex]

Step-by-step explanation:

All are correct, but only the first is unmodified, and probably the one you want to use.

72 is out of the number, so it is on top.

The number is out of 96, so it is on the bottom.

The answer would be: 72/96

Jenny wants to rent a truck for one day. She contacted two companies. Laguna’s Truck Rentals charges $20 plus $2 per mile. Salvatori’s Truck Rentals charges $3 per mile. After how many miles will the total cost for both companies be the same?

Answers

Answer:

6

Step-by-step explanation:

p(2) = 14 and p(-3) = 0. Write one factor of p(x) and explain how you know

Answers

Answer:

Step-by-step explanation:

Given p(2) = 14 and p(-3) = 0, according to factor theorem, if a polynomial p(x) is divided by a function x+c where c is a constant, then x+c is said to be a factor of p(x) if p(-c) = 0 i.e if the remainder is zero after the division.

According to the question, it can be seen that p(-3) = 0. This means that the function x+3 is said to be factor if the remainder of the polynomial is zero when divided the polynomial because the reminder leaves zero after division where c = 3

Min knows that Pi times r = 9.42 centimeters. What would she need to do to find the area?
She could multiply 9.42 by 2.
She could multiply 9.42 by Pi.
She could divide 9.42 by 2 to find the radius, then square the radius.
She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.

Answers

Answer:

She could divide 9.42 by Pi to find the radius, then multiply 9.42 by the radius.

(Last option)

Step-by-step explanation:

We need the formula for the area of a circle:

A = πr²

Remember r² = r × r

So you could rewrite the formula like this:

A = π × r × r

If π × r = 9.42, then the area becomes:

A = 9.42 × r

"Then multiply 9.42 by the radius".

To find "r", divide 9.42 by π.

π × r = 9.42

r = 9.42/π

"Divide 9.42 by Pi to find the radius".

Answer: The answer is the last one

Step-by-step explanation:

Convert the equation you found, T = A 3/2, into a
form without any rational exponents.

Answers

Answer:

C

Step-by-step explanation:

i got it right

Answer:

C

Step-by-step explanation:

Edge 2021 assignment:)

Anyone who can do this fast I will give brainliest to or however you spell it I’m being timed soo :)

Answers

Answer:

Closed circle on 0.96, closed circle on 0.94, closed circle on 0.92

The following table shows the number of classes that
each teacher in the math department at Wilburton High
School teaches.
Teacher
Number of classes,
Mr. Linn
Mrs. Ross
Mr. Kelly
Ms. Moss
Mr. Jackson
Mrs. Jackson
Find the median number of classes.

Answers

Answer:

There are 6 classes we find the median by finding the middle number of the 3rd highest class and 4th highest class, even if this is a decimal.

6/3 = 3+ 0.5

The process would be different if some values are the same values already on the chart total of each class.

ie) 20  31  14  22 20 31

small data like this below you can rearrange

14  20  20  22  31 31  

and see that 21 is the correct value

as there are even numbers, so we choose 20 , 22

and select the middle value = 21

Step-by-step explanation:

If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers. Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2.

Answer:

The answer is in the photo ˚∆˚

Step-by-step explanation:

The actual time it takes to cook a 10 pound turkey is a normally distributed. Suppose that a random sample of 10 pound turkey’s is taken.

Given that an average of 2.9 hours and a standard deviation of .24 hours was found for a sample of 19 turkeys, calculate a 95% confidence interval for the average cooking time of a 10 pound turkey.

Answers

Final answer:

To find the 95% confidence interval for the average cooking time of a 10 pound turkey given a sample mean of 2.9 hours and a standard deviation of 0.24 hours for 19 turkeys, we calculate using the formula and a t-score of 2.101, resulting in an interval between approximately 2.784 hours to 3.016 hours.

Explanation:

To calculate a 95% confidence interval for the average cooking time of a 10 pound turkey, given the sample mean (μm) is 2.9 hours and the sample standard deviation (s) is .24 hours for a sample size (n) of 19 turkeys, we use the formula for the confidence interval for a mean with unknown population standard deviation (since the population standard deviation is not provided).

The formula for the confidence interval is:

CI = μm ± (t* × (s / √n))

Where t* is the t-score from the t-distribution table corresponding to the desired confidence level (95% in this case) and n - 1 degrees of freedom (19 - 1 = 18).

For 95% confidence with 18 degrees of freedom, the t-score (t*) approximately equals 2.101.

So the confidence interval is calculated as:

CI = 2.9 ± (2.101 × (0.24 / √19))

CI = 2.9 ± (2.101 × 0.055)

CI = 2.9 ± 0.116

Thus, the 95% confidence interval for the average cooking time of a 10 pound turkey is approximately 2.784 hours to 3.016 hours.

The 95% confidence interval for the average cooking time of a 10-pound turkey is 2.792 hours, 3.008 hours

The 95% confidence interval for the average cooking time of a 10-pound turkey is given by: [tex]\[ \bar{x} \pm Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}} \][/tex]

where:[tex]- \( \bar{x} \)[/tex] is the sample mean,

[tex]- \( Z_{\frac{\alpha}{2}} \)[/tex] is the Z-value corresponding to the desired confidence level,

[tex]- \( \sigma \)[/tex] is the population standard deviation,

[tex]- \( n \)[/tex] is the sample size.

Given:

[tex]- \( \bar{x} = 2.9 \)[/tex] hours,

[tex]- \( \sigma = 0.24 \)[/tex] hours,

[tex]- \( n = 19 \)[/tex],

- Confidence level = 95%.

First, we need to find the Z-value that corresponds to a 95% confidence level. For a 95% confidence interval, the alpha value is 0.05, and since the confidence interval is two-tailed, we divide this by 2 to get [tex]\( \frac{\alpha}{2} = 0.025 \)[/tex]. Looking up the Z-value for a two-tailed test with [tex]\( \alpha = 0.025 \)[/tex] in the standard normal distribution table (or using a Z-table calculator), we find that [tex]\( Z_{\frac{\alpha}{2}} = 1.96 \)[/tex].

Now we can calculate the margin of error (ME):

[tex]\[ ME = Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}} = 1.96 \times \frac{0.24}{\sqrt{19}} \] \[ ME = 1.96 \times \frac{0.24}{\sqrt{19}} \approx 1.96 \times \frac{0.24}{4.359} \approx 1.96 \times 0.055 \approx 0.108 \][/tex]

Finally, we calculate the confidence interval:

[tex]\[ \text{Lower limit} = \bar{x} - ME = 2.9 - 0.108 \approx 2.792 \] \[ \text{Upper limit} = \bar{x} + ME = 2.9 + 0.108 \approx 3.008 \][/tex]

In LaTeX format, the confidence interval is: [tex]\[ \boxed{(2.792, 3.008)} \][/tex]

Is y = x 2 – 1 a linear equation?

Answers

Answer:

No

Step-by-step explanation:

Step 1:  Determine if linear

It is not linear because it has the x variable to the second power which makes the line bend and turns into a parabola.  A linear line would have the x to the first power or just x.

Answer: No

Graph Below

What is the pattern in the sequence below? 2, 5, 10, 17, 26, …

Answers

Answer:

It goes in order of odds.

Step-by-step explanation:

2+3=5

5+5=10

10+7=17

17+9=26

and so on.

Answer:

D) Add 1 to the term number squared

Step-by-step explanation:

i got it right on edg2021


A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? Please help i need asap!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.3478

Step-by-step explanation:

Given:-

- The number of sophomore, S = 150

- The sophomore and had summer internship, x = 80

- The number of juniors, J = 200

- The junior and had summer internship, y = 150

Find:-

What is the probability that the person is a sophomore given that the person had a summer internship?

Solution:-

- The total sum of sophomore and junior students is N:

                         N = S + J

                         N = 150 + 200

                         N = 350 students.

- We will denote event A as random selection of sophomore from total.

- We will denote event B as random selection of student who had summer internship.

- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.

- The conditional probability can be written as:

                        P ( A / B ) = P ( A & B ) / P ( B )

Where,

        P ( A & B ) : The probability the person is a sophomore and had a summer internship.

        P ( B ): The probability that the person selected had a summer internship.

                      P ( A & B ) = x / N

                                        = 80 / 350

                                        = 0.22857143

                     P ( B ) = ( x + y ) / N

                               = ( 80 + 150 ) / 350 = 230/350

                               = 0.65714286

Therefore the required probability is:

           

                     P ( A / B ) = 0.22857143 / 0.65714286

                                      = 0.3478  ... Answer

                                       

                         

Answer:

8/23

Step-by-step explanation:

What two fractions are equivalent to 6/5

Answers

Answer:

12/10, 18/15?

Step-by-step explanation:

There are multiple fractions equivalent to it, if you keep multiplying forever, but the simplest are

1 1/5 and 12/10

what is the correct first step to solving the equation x^2=10-3x

Answers

Answer:

take the square root of both sides

Step-by-step explanation:

Answer:

The correct first step is to factor x^2-10+3x.

Step-by-step explanation:

x^2−10+3x=0 (move all the terms to one side)

(x−2)(x+5)=0 (factor)

x=2,−5 (solve for x)

Select the ordered pairs that satisfy the equation y=1/3x
Check all that apply
A. (4,6)
B. (6,2)
C. (3,6)
D. (15,5)
E. (-3,-1)
F (1,3)

Answers

Answer:

B, D, E

Step-by-step explanation:

I am assuming that the equation is y = [tex]\frac{1}{3}[/tex] * x and not y = [tex]\frac{1}{3x}[/tex].

Using y = (1/3)x, we can transpose the x, so that now we have y/x = 1/3.

Take note that the given options are in the format of (x, y). You can simply plug all the values, and whichever gave you a result of 1/3 is your answer.

B.) 2/6 = 1/3

D.) 5/15 = 1/3

E.) -1/-3 = 1/3

Final answer:

The ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1). Ordered pairs are verified by substituting the x-value into the equation to see if the resulting y-value matches the pair.

Explanation:

To determine which ordered pairs satisfy the given linear equation y = 1/3x, we need to substitute the x-value of each ordered pair into the equation to see if the corresponding y-value is correct.

For pair A (4, 6), substitute x = 4 into the equation to see if y equals 6: 1/3 * 4  = 4/3 which does not equal 6, so A does not satisfy the equation.For pair B (6, 2), substitute x = 6: 1/3 * 6  = 6/3 which equals 2, so B does satisfy the equation.For pair C (3, 6), substitute x = 3: 1/3 * 3  = 3/3 which equals 1, not 6, so C does not satisfy the equation.For pair D (15, 5), substitute x = 15: 1/3 * 15  = 15/3 which equals 5, so D does satisfy the equation.For pair E (-3, -1), substitute x = -3: 1/3 * -3  = -3/3 which equals -1, so E does satisfy the equation.For pair F (1, 3), substitute x = 1: 1/3 * 1 = 1/3, which does not equal 3, so F does not satisfy the equation.

So the ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1).

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A car can average 140 miles on 5 gallons of gasoline. Write an equation for the distance d in miles the car can travel on g gallons of gas.

Answers

The car will at least have just a tiny little bit sorta kinda of a 5

Select ALL of the correct names for you the give angle.

Answers

Answer:

1. ∠ O

2. ∠ QOP

3. ∠ POQ

Step-by-step explanation:

which even definition corresponds to exactly one outcome of the experiment?

Answers

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

There is six sides die :

So, the number of outcomes will be

1,2,3,4,5,6.

There is a card with numbers :

1,2,3,4,5,6,7,8,9,10.

We need to find the event corresponds to exactly one outcome of the experiment.

According to options:

A)Both numbers are 5s.

So, there is exactly one event regarding both numbers are 5's. i.e. (5,5).

B) Neither number is a 5.

There is more than one event having not a 5.

Like (1,1),(1,2) ..........

C) The sum of the numbers is 3.

It can be (1,2),(2,1).

so, there is having two events regarding the sum of the numbers is 3.

D) One of the numbers is a 3.

It can be (3,1), (3,2), (3,4)......

So, we can see that there is more than one event corresponds to one of the numbers is a 3.

Hence, Option 'A' is correct.

what expressions that are equivalent to
-2(5x – 1) + 7(5x – 1) – 3(-52 + 1)?​

Answers

Answer:

B chose b im sure

Step-by-step explanation:

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If the mass of the object is 7.0 grams, what is the density of the object Samantha just won a settlement with an insurance company, which entitles her to receive payments of $20,000 at the beginning of each year for the next 20 years. Her financial advisor recommended to her that she consider accepting a lump-sum payment now, using a discount rate of 7%. What is the amount that she should accept in this scenario? Identify the following variables: N, I/Y, PV, PMT, FVPlease show how the answer is computed (steps, a formula used, etc.)Please try to avoid mathematical shorthand or please explain the answer to help me understand. Tayiln buys 5 ounces of tea leaves for $2.35. At this rate how much money does she need to buy 12 ounces of tea leaves? Portfolio tests refer to Multiple Choice presenting a panel of consumers with an ad and asking for their reactions concerning the ad's effectiveness, appeal, etc. placing a test ad in a collection with several other ads, asking consumers to read through them, and then asking them for their impressions of the ads. presenting a panel of consumers with an ad for a limited period of time, then removing the ad and asking the respondents to recall as much pertinent information as possible. presenting consumers with a sample of a product and several different advertisements for the product, then asking them to select the one they think is most effective and explain why. using electronic devices to measure viewer response or feelings after viewing an advertisement. Translate this phrase into an algebraic expression:500 increased by twice Matt's savingUse the variable m to represent Malt s savings. Maintaining a competitive business environment is an important role of __________ in the economy. An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:418 421 422 422 425 429 431 434 437439 446 447 449 452 457 461 465Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) You are evaluating a project that will cost $ 546 comma 000, but is expected to produce cash flows of $ 127 comma 000 per year for 10 years, with the first cash flow in one year. Your cost of capital is 11.1 % and your company's preferred payback period is three years or less. a. What is the payback period of this project? b. Should you take the project if you want to increase the value of the company? what was president mckinleys primary purpose in giving this speech What is the length of arc S shown below? Enter an exact expression in units. The angle in the figure is a central angle in radians. A local grocery store wants to predict its daily sales in dollars. The manager believes that the amount of newspaper advertising significantly affects sales. He randomly selects 7 days of data consisting of daily grocery store sales (in thousands of dollars) and advertising expenditures (in thousands of dollars). The Excel/MegaStat output given above summarizes the results of the regression model. What is the value of the simple coefficient of determination? Addison Co. budgets production of 2,790 units during the second quarter. Other information is as follows: Direct labor Each finished unit requires 5 direct labor hours, at a cost of $10 per hour. Variable overhead Applied at the rate of $12 per direct labor hour. Fixed overhead Budgeted at $580,000 per quarter. 1. Prepare a direct labor budget. 2. Prepare a factory overhead budget. A solution of potassium cyanide, KCN, is made by dissolving 3.2 g of KCN in water. When this solution reacts with excess hydrochloric acid, HCl, it produces 0.30 g of poisonous hydrogen cyanide gas, HCN. KCN + HCl --> KCl + HCN(a) Calculate the theoretical yield of HCN.(b) Calculate the percent yield of HCN.