The weights of a sample of college textbooks has a bell-shaped distribution with a mean of 8.1 p o u n d s ( l b s ) and a standard deviation of 2.1 l b s . According to the Empirical Rule, what percent of all college textbooks will weigh between 1.8 and 14.4 l b s ?

Answers

Answer 1

Answer:

The interval    ( 1,8 ; 14,4 ) will contains 99,7 % of all values      

Step-by-step explanation:

For Normal Distribution  N ( μ ; σ ) the Empirical Rule establishes that in the intervals:

( μ  ±  σ )   we find  68,3 % of all values

( μ  ±  2σ ) we find  95,4 % of all values

( μ  ±  3σ ) we find  99,7 % of all values

Then we have a normal distribution  N ( 8,1 ; 2,1 )

3*σ  =  3* 2,1 = 6,3

And   8,1 - 6,3  = 1,8             8,1  + 6,3  = 14,4

Then the interval    ( 1,8 ; 14,4 ) will contains 99,7 % of all values      


Related Questions

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or Ace

Answers

Answer:

[tex]P(A\ or\ H) = \frac{4}{13}[/tex]

Step-by-step explanation:

Given

Number of Cards = 52

Required

Determine  the probability of picking a heart or ace

Represent Ace with Ace and Heart = H

In a standard pack of cards; there are

[tex]n(A) = 4[/tex]

[tex]n(H) = 13[/tex]

[tex]n(A\ and\ H) = 1[/tex]

[tex]Total = 52[/tex]

Because the events are non mutually exclusive

[tex]P(A\ or\ H) = P(A) + P(H) - P(A\ and\ H)[/tex]

Where

[tex]P(A) = \frac{n(A)}{Total} = \frac{4}{52}[/tex]

[tex]P(H) = \frac{n(H)}{Total} = \frac{13}{52}[/tex]

[tex]P(A\ and\ H) = \frac{n(A\ and\ H)}{Total} = \frac{1}{52}[/tex]

Substitute these values in the above formula

[tex]P(A\ or\ H) = P(A) + P(H) - P(A\ and\ H)[/tex]

[tex]P(A\ or\ H) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]

Take LCM

[tex]P(A\ or\ H) = \frac{4 + 13 - 1}{52}[/tex]

[tex]P(A\ or\ H) = \frac{16}{52}[/tex]

Reduce fraction to lowest term

[tex]P(A\ or\ H) = \frac{4}{13}[/tex]

Hence, probability of a heart or ace is 4/13

PLEASE HELP ASAP Madelyn drove a race car in a race. She averaged 55 mph and began the race 0.5 hours ahead of the other drivers. The variable d represents Madelyn's distance driven, in miles. The variable t represents the number of hours since the other drivers began to race. Which equation can be used to determine the distance Madelyn drove t hours into the race? d=55t−0.5 d=55(t+0.5) d=55(t−0.5) d = 55t + 0.5

Answers

Answer:

d=55(t+0.5)

Step-by-step explanation:

d=55(t+0.5)

Answer:

27.5

Step-by-step explanation:

Alpha (a) is used to measure the error for decisions concerning true null hypotheses. What is beta (ß) error used to measure?

Answers

Answer:

Alpha (α) is used to measure the error for decisions concerning true null hypotheses, while beta (ß) is used to measure error for decisions concerning false null hypotheses.

Step-by-step explanation:

Suppose we have events X and Y.

1. If it is said that X equals Y, when X is actually not equal to Y, α is used in this case, the null hypotheses.

2. If X is said to not be equal to Y, when X is actually equal to Y, β is used in this case, the false null hypotheses.

determine the missing term x in the geometric sequence below
9,x,225

Answers

Answer:

45

Step-by-step explanation:

multiply 9 by 5 to get 45

then, multiply 45 by 5 to get 225

The geometric sequence is 5(previous number)

As a bowling instructor, you calculate your students' averages during tournaments. In 5 games, one bowler had the following scores: 143, 156, 172, 133, and 167. What was that bowler's average?

Answers

Answer:

154.2

Step-by-step explanation:

To find the average of the bowlers scores, you have to find the mean by adding the values and dividing by the number of values.

To find the bowlers average add the scores and divide by the number of games.

143+156+172+133+167/5=154.2 is the average score for the bowler.

Write the following as an inequality: y is no greater than 4 but more than –2.

Answers

Answer:

Step-by-step explanation:

First lets focus on, y is no greater than 4,

y < 4

Now we focus on, more than –2,

y > -2

Combining these inequalities get us,

-2 < y < 4

Answer:

-2<y≤4

Step-by-step explanation:

Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9 A. addition property of equality B. subtraction property of equality C. multiplication property of equality D. division property of equality

Answers

Answer:

A

Step-by-step explanation:

In the second step, they added 5 to both sides to get rid of the -5 on the left side. Since the same thing was done to both sides (addition), the answer is the addition property of equality.

Answer:

Addition property of equality

Step-by-step explanation:

The equation is like:

=> x - 5 = -14

=> x - 5 + 5 = -14 + 5

=> x = -9

Since, we add 5 to both sides to solve for "x", the answer is "Addition Property of Equality".

Hope this helps.

A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses which can carry up to 30 students and 19 small buses which can carry up to 15 students. There are only 20 drivers available on the day of the field trip.
The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.
Determine the minimum cost of transporting all 450 students.

Answers

Answer:

Step-by-step explanation:

From the given information;

Let consider p to be the number of large buses and q to be the number of small buses.

The company has 18 large buses which can carry up to 30 students and 19 small buses which can carry up to 15 students.

The linear inequality represent the students with respect to the total students s:

30p + 15q   ≥  450   -----(1)

They are only 20 drivers available on the day of the field trip, therefore only 20 buses can be used. So,

p  +   q    ≤  20      ----- (2)

Also , There  are only 19 small buses and 18 large buses:

0 ≤  p ≤ 18

0 ≤  q ≤ 19

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day

In order to minimize the cost of transporting all 450 students, let z be the minimal cost. i.e

z = 225p + 100q

From equation 1 and 2 ; if we plot them graphically on the graph, the following points of intersection were obtained as shown in the sketch below, in which the shaded region lies the answer.

The point of intersection between equation (1) and (2) is (p,q) = (10,10)

From the critical point in the sketch of our graph attached below, the following values of z can be determined.

Point(s)              Value for Z

(15,0)                 15 ×  225 = 3375

(18,0)                 18 ×  225 =  4050

(18,2)                 (18 × 225 )+ (2 × 100 ) = 4250

(10,10)                (10 × 225) + (10 × 100) = 3250

Thus ; the minimum cost of transporting all 450 students = $3250

Translate verbal expression to an algebraic expression

8 times a number x is subtracted by 4

Answers

Answer:

8x - 4

Step-by-step explanation:

8x - 4

Translated algebraically expression is 8x-4

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given verbal expression that,

8 times a number x is subtracted by 4

(1) Let x = the unknown number.

(2) "8 times a number of x" is translated algebraically as 8x

(3) "same number x is subtracted by 4" is translated algebraically as 8x -4

Putting analyses together translated algebraically into the following equation as the result : 8x-4

Learn more about algebraic expressions

https://brainly.com/question/13947055

#SPJ2

The points (-6,-4) and (3,5) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
The length of the radius is a
(Round to the nearest hundredth as needed.)

Answers

Answer:

40.5

Step-by-step explanation:

diameter^2 = (3 +6)^2 + (5+4)^2

or, d^2 = 9^2 + 9^2

or, d^2 = 81 +81

or,d^2 =162

or d=√ 162

• d= 81

then radius = d/2

r = 81/2

•r= 40.5 ans

3. A medical devices company wants to know the number of MRI machines needed per day. A previous study found a standard deviation of four hours. How many MRI machines must the company study in order to have a margin of error of 0.5 hours when calculating a 90% confidence interval

Answers

Answer:

173 MRI machines

Step-by-step explanation:

Margin of error E = 0.5

Confidence interval 90% = 1-0.9 = 0.1

Standard deviation = 4 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*4)/0.5]²

= 13.16²

= 173.18 is approximately equal to 173

The company has to study 173 machines.

Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each side of the square in centimeters? Use complete sentences to explain your reasoning.

Answers

Answer: approximately 10.8 centimeters

Step-by-step explanation:

We have a square, where each side measures approx. 4.25 in

Now we know that 1in ≈ 2.54 cm

Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm

So the approximate measure of the sides in centimeters is:

4.25*(2.54)cm = 10.8 cm

So we have that each side measures approximately 10.8 centimeters

Is y = 8x -15 a function?

Answers

Answer:

Hey there!

A function only has one y value for every x value, so this is a function. Additionally, all linear equations (that are in the y=mx+b form) are functions.

Hope this helps :)

PLEASE HELP!!! TIMED QUESTION!!! FIRST CORRECT ANSWER WILL BE BRAINLIEST!!!

The bar graph shows the number or each item sold at a bake sale. Which statement about the graph is true?​

Answers

The answer is 2. You can see from the graph that 10 cookies were sold. If you take 1% of 10 and add it to 10, you get 11, which is exactly how many cupcakes were sold
Number 1 is correct.
Let me know if you need the working out. Hope it helps :)

2/5 × 3/7? please help ​

Answers

Answer:

[tex]\frac{2}{5}[/tex] • [tex]\frac{3}{7}[/tex] = [tex]\frac{6}{35}[/tex]

Answer: 0.171

Step-by-step explanation:

First, do 2/5 which would equal 0.4

Second, so 3/7 which would equal 0.428571428571429

Lastly multiply the two answers together to get 0.171428571428571

How can a company use a scatter plot to make a future sales decision?​

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

A scatter plot is a two-dimensional diagram that displays individual data points based on the intersection of two variables, shown as vertical and horizontal axes. Individual data points or values are plotted at particular coordinates of the two variables being studied. Patterns of data points provide a visual representation of relationship between the two variables. A wide range of jobs and careers use this valuable analytical tool for data analysis and decision making.

My conclusion,

They help organize important data for future occurences.

Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t)R(t)R, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts jumping, her rope is 0\text{ cm}0 cm0, start text, space, c, m, end text off the ground, which is the minimum. After \dfrac{\pi}{12} 12 π ​ start fraction, pi, divided by, 12, end fraction seconds, it reaches a height of 60\text{ cm}60 cm60, start text, space, c, m, end text from the ground, which is half of its maximum height

Answers

Answer:

Step-by-step explanation:

How do you find x when knowing the probability?

Answers

Answer:

x

Step-by-step explanation:

probability is the branch of mathematics concerning numeral descriptions of how likely an event is to occur or how likely it is that a proposition is true

2. (1 pt) The following statement is true or false;
When we know the population standard deviation, o, we use a standard normal
distribution (z-score) to calculate the error bound EBM and construct the
confidence interval and when the population standard deviation, o, is unknown,
we use a Student's t distribution (t-score) to calculate the error bound EBM and
construct the confidence interval.
a. true
b. false​

Answers

Answer: True

If you know the population standard deviation (sigma), then you use the Z distribution. If sigma is not known, then you use the T distribution.

Side note: Even if sigma is not known, you could use the Z distribution if the sample size n is greater than 30. If n > 30, then the T distribution is approximately about the same as the Z distribution.

5) Suppose a slice of a 12-inch pizza has an area of 20 square inches. What is the angle of
this slice?

Answers

Answer:

The angle of the slice is 63.64 degrees

Step-by-step explanation:

Here in this question, we are concerned with calculating the angle of the slice.

What we should know are as follows;

1. A pizza is a perfect circular shape

2. A 12-inch pizza means the diameter of the pizza is 12 inches and consequently its radius will be 12/2 = 6 inches

3. A slice of a pizza represents a sector of the circle( a sector is part of a circle bounded by 2 radii and an arc)

Mathematically, to calculate the angle of the slice, we simply use the formula for the area of a sector.

Area of sector = theta/360 * pi * r^2

where Area of sector = 20 square inches

theta is the center angle we are looking for

r is the radius of the pizza which is 6 inches

Plugging these values into the area of sector equation, we have

20 = theta/360 * 22/7 * 6^2

20 = theta/10 * 22/7

22 theta = 10 * 20 * 7

theta = 1400/22

theta = 63.64 degrees which is approximately 64 degrees to the nearest degree

No, the graph suggests that the increase in adoptions from 2000 to 2005 was less significant than it actually is. No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is. Yes, the graph fairly and accurately depicts the data in an objective manner.

Answers

Answer: No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is

Step-by-step explanation:

Ok, in the graph we can see that the minimal value for the y-axis is y = 4000.

This means that the graph is like a "zoom" tath points to the tips of the boxes.

This makes the relative difference between the columns seems to be bigger than it actually is, so the correct answer would be:

"No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is"

And remember that this happens for the people that only see the graph for a second and draw the conclusions (most of the people). While in the graph you can read all the information that you need to calculate exactly the relative change.

Solve x2 + 9x + 8 = 0 by completing the square. What are the solutions?
O (1.-8)
O (1.8)
O (-1-8)​

Answers

Answer: (-1,-8)

Explanation:

x^2 + 9x + 8 = 0
x^2 + 9x = -8

Add (9/2)^2 to both sides

x^2 + 9x + (9/2)^2 = -8 + (9/2)^2
(x + 9/2)^2 = -8 + 81/4
(x + 9/2)^2 = -32/4 + 81/4
(x + 9/2)^2 = 49/4

Square root both sides

Sqrt (x + 9/2)^2 = sqrt 49/4
x + 9/2 = plus or minus 7/2

Set x + 9/2 = 7/2:

x + 9/2 = 7/2
x = 7/2 - 9/2
x = -2/2 = -1

Set x + 9/2 = -7/2:
x + 9/2 = -7/2
x = -7/2 - 9/2
x = -16/2 = -8

James stand at the centre of a regular field. he first take 50 steps North then 25 step West and finally 50 steps on the bearing of 315°.
i. sketch James movement
ii. how far west is James final point from the centre?
iii. how far north is James final point from the centre?
iv. describe how you would guide a jhs student to find the bearing and distance of James final point from the centre.​

Answers

Answer:

Step-by-step explanation:

i. For navigation purposes, bearing is measured clockwise from north. In (x, y) coordinates, a distance D at a bearing B will have coordinates ...

  (x, y) = (Dsin(B), Dcos(B))

Then 50 steps north (bearing 0°) will put James at coordinates ...

  (x, y) = (50sin(0), 50cos(0)) = (0, 50)

The movement 25 steps west (bearing 270°) will add a displacement of ...

  (x, y) = (25sin(270°), 25cos(270°)) = (-25, 0)

Finally, the movement of 50 steps on bearing 315° will add a displacement of ...

  (x, y) = (50sin(315°), 50cos(315°)) = (-25√2, 25√2)

These movements are shown by the arrows to N, W, and F in the attached diagram.

__

ii. James's final displacement is the sum of the individual displacements:

  (0, 50) +(-25, 0) +(-25√2, 25√2) = (-25(1+√2), 25(2+√2))

James is 25(1+√2) ≈ 60.4 steps west of center.

__

iii. James is 25(2+√2) ≈ 85.4 steps north of center.

__

iv. The distance can be found using the Pythagorean theorem (or distance formula). The distance from the origin to the final position (OF in the diagram) will be the root of the sum of the squares of the north and west displacements:

  distance = √(85.355² +60.355²)

  distance ≈ 104.5 steps

The bearing can be found using the arctangent function. The diagram shows you the reference angle (relative to the +y direction) has an opposite side equal to the west displacement, and an adjacent side equal to the north displacement. Then the bearing angle (β) will be ...

  tan(β) = opposite/adjacent = -60.355/85.355

  β ≈ arctan(-0.707106) ≈ -35.3°

The positive bearing angle is 360° added to this, or

  bearing = 324.7°

What is 7 x -5?........

Answers

Answer:

-35

Step-by-step explanation:

7*5*(-1)

The solution to the expression 7 * -5 is -35

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

7 * -5

Evaluate all the products in the expression

so, we have the following representation

7 * -5 = -35/1

Evaluate all the quotients in the expression

so, we have the following representation

7 * -5 = -35

Lastly, we have

7 * -5 = -35

Hence, the solution is -35

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Evaluate the following expressions: 2(−1 + 3) − 7

Answers

Answer:

-3 is the answer.

Step-by-step explanation:

=2(-1+3)-7

=2(2)-7

=4-7

=-3

Hope it will help you :)

Need Help
Please Show Work​

Answers

Answer:

18 - 8 * n = -6 * n

The number is 9

Step-by-step explanation:

Let n equal the number

Look for key words such as is which means equals

minus is subtract

18 - 8 * n = -6 * n

18 -8n = -6n

Add 8n to each side

18-8n +8n = -6n+8n

18 =2n

Divide each side by 2

18/2 = 2n/2

9 =n

The number is 9

━━━━━━━☆☆━━━━━━━

▹ Answer

n = 9

▹ Step-by-Step Explanation

18 - 8 * n = -6 * n

Simple numerical terms are written last:

-8n + 18 = -6n

Group all variable terms on one side and all constant terms on the other side:

(-8n + 18) + 8n = -6n + 8n

n = 9

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Quadrilateral RSTV is dilated with respect to the origin by a scale factor of 1.5 to produce quadrilateral R'S'T'V' . Vertex R is located at (6, -9). Which ordered pair represents R' after the dilation?

Answers

Answer:

(9, -13.5)

Step-by-step explanation:

It's given in the question that a quadrilateral RSTV is dilated with a scale factor of 1.5 with respect to the origin to form R'S'T'V'.

Rule for dilation is,

(x, y) → (kx, ky)

where 'k' is the scale factor.

If vertex R of the quadrilateral is (6, -9),

By the given rule of dilation,

R(6, 9) → R'[(1.5 × 6), -(1.5 × 9)]

           → R'(9, -13.5)

Therefore, Option given in bottom right (9, -13.5) will be the answer.

Gail paid a total of $12,000 for stock that was $6 per share. If she sold all her shares for $18,000, how much profit on each share did she make?
A
$9
B
$3
С.
S2000
D
$6.000

Answers

Answer:

$3

Step-by-step explanation:

Given

Total Cost Price: $12,000

Unit Cost Price= $6

Total Selling Price = $18,000

Required

Determine the profit on each share

First, we need to determine the units of share bought;

Units = Total cost price / Unit Cost Price

[tex]Units = \frac{\$12000}{\$6}[/tex]

[tex]Units = 2000[/tex]

Next is to determine the selling price of each share; This is calculated as follows;

Unit Selling Price = Total Selling Price / Units Sold

[tex]Unit\ Selling\ Price = \frac{\$18000}{\$2000}[/tex]

[tex]Unit\ Selling\ Price = \$9[/tex]

The profit is the difference between the unit cost price and unit selling price

[tex]Profit = Unit\ Selling\ Price - Unit\ Cost\ Price[/tex]

[tex]Profit = \$9 - \$6[/tex]

[tex]Profit = \$3[/tex]

Heng tried to define a reflection across line r.

• Any point N on line r maps to itself.

• Any point M not on the line of reflection maps to a point M' such that the midpoint L of MM' is

on liner.

Which counterexample shows that Heng's definition does not fully define a reflection?

Choose 1 answer:

Answers

Answer:

Any point N on line r maps to itself.

Step-by-step explanation:

Reflection is one of the examples of solid transformation in which a given point, segment, or figure is flipped over a reference point or line to produce its image. The distance of the object to the reference point or line is the same as the distance of its image to the point or line. And both have the same size, but different orientation.

The option that does not fully define a reflection is; any point N on line r maps to itself, because no image of point N is produced after the operation.

Answer:

C. This matches Heng's definition, but is not a reflection, because MM'MM

M, M, prime is not perpendicular to line rrr.

Step-by-step explanation:

What is the correct alternate hypothesis if the pilots' average gain score due to alcohol is indicated in the hypothesis statement by

Answers

Answer:

Ha : Pilots average gain score not due to alcohol.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. Here the null hypothesis is that pilots average gain due to alcohol. Then if there is no alcohol what is pilots average gain. This thing will be tested as alternative hypothesis.

Other Questions
Average Rate of ReturnDetermine the average rate of return for a project that is estimated to yield total income of $148,500 over five years, has a cost of $300,000, and has a $30,000 residual value.% did maRGIE HAVE regular days and hours Take thus quote, and embed (introduce) it into a complete sentence: "TV plotsand characters tended to be simple" The author is Ostergaard. Lyla walks three times per week for 45 minutes at a speed of 4.0 miles per hour. She wants to increase her time what should she do The ability of a multinational or global competitor to shift production from country to country to take advantage of exchange rate fluctuations, energy costs, wage rates, or changes in tariffs is an example of Multiple Choice cross-market subsidization. cross-market differences in cultural, demographic, and market conditions. an international strategic alliance. cross-border coordination. a profit sanctuary. Help please! If income rises from $1,000 to $1,400 and consumption rises from $800 to $1,168, the marginal propensity to consume is __________ percent. Gina, Sam, and Robby all rented movies from the same video store. They each rented some dramas, comedies, and documentaries. Gina rented 11 movies total. Sam rented twice as many dramas, three times as many comedies, and twice as many documentaries as Gina. He rented 27 movies total. If Robby rented 19 movies total with the same number of dramas, twice as many comedies, and twice as many documentaries as Gina, how many movies of each type did Gina rent? solve 1 for x if a=-9.8, v=2.7, and t= 35 A technical analyst has been charting the price movements of ABC stock. The stock has been fluctuating in price between $63 and $67 per share for the past 3 months. If the analyst expects a breakout through the support level, which order should be placed Question:A school's band members raised money by selling magazine subscriptions and shirts. Their profit from selling shirts was per shirt minus a one-time set-up fee. Their profit from selling magazine subscriptions was per subscription. They made exactly the same profit from shirts as they did from magazines. They also sold the same number of shirts as magazine subscriptions. How many shirts did they sell? Jamie has a jar of coins containing the same number of nickels, dimes and quarters. The total value of the coins in the jar is 13.20. How many nickels does Jamie have? The gasoline gauge on a van initially read full. When 15 gallons of gasoline were added to the tank, the gauge then read full. How many more gallons would be needed to fill the tank? A car travels 120m along a straight road that is inclined at 8 to the horizontal. Calculate the vertical distance through which the car rises. (Sin8=0.1392) what is the value of x ? What is the FIRST major step of the writing process? The data set {3, 7, 5, 4, 1} consists of the lengths, in minutes, of a sample of speeches at an awards banquet. Use a formula to find the standard deviation of the sample, and label it with the correct variable. 9) Selected information regarding a company's most recent quarter follows (all data in thousands). 9) _______ Direct labor $540 Beginning work in process inventory $330 Ending work in process inventory $420 Cost of goods manufactured $1620 Manufacturing overhead $830 What was the cost of direct materials used for the quarter These cones are similar. Find the volumeof the smaller cone. Round to thenearest tenth. Gabriel Industries stock has a beta of 1.12. The company just paid a dividend of $1.15, and the dividends are expected to grow at 4 percent. The expected return on the market is 11.4 percent, and Treasury bills are yielding 3.8 percent. The most recent stock price is $85. (a) Calculate the cost of equity using the dividend growth model method. (b) Calculate the cost of equity using the SML method. (c) Why do you think your estimates in (a) and (b) are so different? Please help and explain so I can understand for future questions Complete the table for the given rule.Rule: y = 6x 4. Y1310