what is the area of the rectangle?
answers: 120 m
120 m2
120m3
120 cubic meters
top of the rectangle: 12 m
bottom of the rectangle:12 m
side of the rectangle: 10 m
side of the rectangle:10 m

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Area = L * W

L = 12 m

W = 10 m

Area = 12 m * 10 m

Area = 120 m^2

Answer 2

Answer;

A. 120m²

Step-by-step explanation:

Given That :-

Length of rectangle = 12mWidth of rectangle = 10m

To find :-

Area of rectangle.

Solution :-

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \sf Length = 12m\: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \sf \: Width = 10m \end{gathered}\end{gathered} \end{gathered} \end{gathered}[/tex]

The area of a rectangle is equal to the length times the width.

Length × Width

Substitute the values of the length l =12 and width w = 10 into the formula for the area of a rectangle.

12m × 10m

Multiply 12m by 10m

12m × 10m= 120m²

Hence, Area of rectangle is 120m² which means option A. is correct answer.


Related Questions

how many comparisons are needed to merge two ordered lists

[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]

Answers

how many comparisons are needed to merge two ordered lists

[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]

There are 11 comparisons to merge the two lists

How to determine the number of comparisons?

The ordered lists are given as:

[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]

The number of elements in both lists are:

5 and 12

So, the number of comparison is:

Comparison = 5 + 7 - 1

Evaluate

Comparison = 11

Hence, there are 11 comparisons to merge the two lists

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Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $55 registration fee for the term plus $275 per course, what is the greatest number of courses for which Miranda can register? Miranda can register for at most how many courses?​

Answers

Answer:

5

Step-by-step explanation:

275x5= 1375

1375+55=1430

Help is very much needed!!

Answers

Answer:

DE = 24

Step-by-step explanation:

The midsegment DE is half the length of the third side AC , that is

DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 48 = 24

Anyone please help, how to do it

Answers

Answer:

Step-by-step explanation:

Fourth-grade classrooms in several elementary schools are randomly assigned to different antibullying training programs at the beginning of the school year. The school district keeps track of the number of incidents of bullying in each classroom.

This study is an example of __________ study.

Answers

Answer:

experimental study.

Step-by-step explanation:

This study is an example of an experimental study.

The type of training program is the independent variable. The number of incidents of bullying is the dependent variable.

Since the participants of our study are affected directly in the research (the fourth-grade children) by not training against anti-bullying, the study is experimental research.

An independent variable is one that is somehow controlled or adjusted to evaluate the effects of a different variable, the dependent. Since we control whether we do bullying training here or not, our kind of training program is our independent variable, which is our dependent variable since we measure its impact on instances of bullying no.

Find the y-coordinates of the points that are 10 units away from the point (-1,6) that have an x-coordinate of 7

Answers

Answer:

y = 0 or 12

Step-by-step explanation:

[tex]Let \ (x _ 1 , y _ 1) \ and \ (x _ 2 , y _ 2 ) \ be \ the \ coordinates \ \\\\Distance \ between \ the \ points = \sqrt{(x_2 - x_1)^2 + (y_ 2 -y_1)^2}\\\\[/tex]

[tex]Given : distance = 10 \ units , (x_1 , y _ 1 ) = ( - 1 , 6 ) \ and \ (x_2 , y _ 2 ) = (7 , y )\\\\[/tex]

[tex]Substituting \ the \ values \ \\\\10 = \sqrt{(7 -(-1))^2 + (y - 6)^2}\\\\10 = \sqrt{(7 + 1)^2 + ( y - 6 )^2}\\\\10 = \sqrt{8^2 + ( y - 6)^2 }\\\\10 = \sqrt{64 + (y -6)^2 } \\\\Squaring \ both \ sides \\\\10^2 = (\sqrt{64 + (y -6)^2 })^2\\\\100 = 64 + ( y -6)^2\\\\100 - 6 4 = ( y -6)^2 \\\\36 = ( y - 6 )^2\\\\\sqrt{36} = y - 6\\\\\pm 6 = y - 6 \\\\So, \\\\\ y - 6 = 6 => y = 12\\\\\ \ \ \ y - 6 = - 6 => y = 0[/tex]

The y coordinate of the point is P ( 7 , 12 ) or P ( 7 , 0 ) where the distance of the point is 10 units from Q ( -1 , 6 )

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P ( 7 , y )

Let the second point be Q ( -1 , 6 )

Now , the distance between P and Q is D = 10 units

So , on simplifying the equation , we get

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

10 = √ [ ( 7 - ( - 1 ) )² + ( y - 6 )² ]

Squaring both sides of the equation , we get

100 = ( 8 )² + ( y - 6 )²

Subtracting 64 on both sides of the equation , we get

( y - 6 )² = 36

Taking square roots on both sides , we get

y - 6 = ±6

Adding 6 on both sides , we get

y = +6 + 6 = 12

or y = -6 + 6 = 0

So , the coordinates of the point P is  P ( 7 , 12 ) or P ( 7 , 0 )

Hence , the distance formula is solved and coordinates of the point P is  P ( 7 , 12 ) or P ( 7 , 0 )

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pleaseeeee helpppppppppppp

Answers

9514 1404 393

Answer:

maximum height: 26.5 ftair time: 2.5 seconds

Step-by-step explanation:

I find the easiest way to answer these questions is to use a graphing calculator. It can show you the extreme values and the intercepts. The graph below shows the maximum height is 26.5 ft. The time in air is about 2.5 seconds.

__

If you prefer to solve this algebraically, you can use the equation of the axis of symmetry to find the time of the maximum height:

  t = -b/(2a) = -(40)/(2×-16) = 5/4

Then the maximum height is ...

  h(5/4) = -16(5/4)² +40(5/4) +1.5 = -25 +50 +1.5 = 26.5 . . . feet

__

Now that we know the vertex of the function, we can write it in vertex form:

  h(t) = -16(t -5/4)² +26.5

Solving for the value of t that makes this zero, we get ...

  0 = -16(t -5/4)² +26.5

  16(t -5/4)² = 26.5

  (t -5/4)² = 26.5/16 = 1.65625

Then ...

  t = 1.25 +√1.65625 ≈ 2.536954

The cannon ball is in the air about 2.5 seconds.

Solve for X in the triangle. Round answer to the nearest TENTH (GIVING BRAINLEST TO BEST ANSWER :D )​

Answers

Answer:

What ever.....

tan46 = x/8

x = 8×tan46

x = 8,28424251

What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?

Answers

Answer:

Y=x+3

Step-by-step explanation:

we have :

     x1= -7

     y1= -4

    m=1

as we know Y-y1=m(X-x1)

Y+4=(X+7)

Y+4=X+7

Y=X+7-4

Y=X+3

Given tan(A)=5 and tan(B)=9, find the value of tan(A−B).

Answers

Answer:

tan= 4

Step-by-step explanation:

This is actually very easy, basically u have 5 - 9.

So you have positive nine and a negative sign, which is used for subtraction, so in the integers rule, positive- negative= negative

so its 4.

I HOPE ITS RIGHT, IM 11

If tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

It discusses how triangle side lengths and angles relate to one another. Using trigonometric formulas and functions, it is mostly used to determine the unknown side lengths and angles of a right-angled triangle. Six different functions are frequently employed in trigonometry.

It is given that tan(A)=5 and tan(B)=9

As we know,

[tex]\rm tan(A -B) = \frac{tan A - tan B}{1- tan A tan B}[/tex]

Substitute the given values we get,

tan(A -B) = (tan A - tan B)/(1 + tan A tan B)

tan(A -B)  = (5-9) / (1 + 5 × 9)

tan(A -B) = (-4) / (1 + 45)

tan(A -B) = -4 / 46

tan(A -B) = -2/23

tan(A -B) = - 0.086

Thus ,if tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.

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Tập nghiệm của phương trình 2^x=-1 là

Answers

Step-by-step explanation:

Tập nghiệm của [tex]2^x=-1[/tex] là tập rỗng nha bạn. Vì 2 là số dương nên mũ mấy cũng dương hết.


Select the correct answer from each drop-down menu.
Some of the images in the diagram are images of polygon 1 from similarity transformations ?

Polygon and polygon are similar to polygon 1.

Answers

Answer: 3 and 4

Step-by-step explanation:

An umbrella sprinkler is positioned on a ceiling at a point whose x- coordinate is 0. Negative values of a indicate distances, in meters, to the left of the position of the sprinkler, and positive values indicate distances to the right. The path of water from the sprinkler can be modeled by the quadratic function

w(x) = -1/4(x^2 -12 ) where w(x) is the height of the water, in meters, at position x.

Required:
Which equivalent expressions displays the height of the ceiling as a constant or coefficient?

Answers

Answer:

-1/4x² + 3

Step-by-step explanation:

Given that:

Path of sprinkler is modeled by the quadratic function :

w(x) = -1/4(x^2 -12 )

w(x) = height of the water, in meters, at position x

The height of ceiling as a constant or Coefficient = w(x)

Expanding w(x)

-1/4(x^2 -12 )

-1/4 * x² + 1/4 * 12

-1/4x² + 3

The height of ceiling is -1/4x² + 3

Complete equation describing how X and Y are related.

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to [tex]2/1=\boxed{2}[/tex] (rise/y-values over run/x-values). In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x,y)[/tex] represents any point the line passes through.

Since [tex]m[/tex] represents the slope of the line, the value of

While the question only asks for this value, it's good to note that the equation of the function is [tex]y=2x+7[/tex] (find 7 by substituting any ordered pair in the table with [tex]m=2[/tex]).

Answer:

y = 2x + 7

Step-by-step explanation:

y = mx + b

For every increase of 1 in x,

there is an increase of 2 in y

m = 2

When x is 0,

y is 7

b = 7

y = 2x + 7

HELP THIS IS DUE SOON MATH

Answers

Answer: the answer is x= -11.

what are two solutions of x^2-2x-4=-3+9

Answers

Answer:

x^2-2x=10

a few more steps...

the answer is 1+the square root of 11

How do I convert 345 from base 8 to binary and then hexadecimal?

Answers

Answer:

(345)8 = (11100101)2

(11100101)2 =  E5

Step-by-step explanation:

Step 1: Look up each octal digit to obtain the equivalent group of three binary digits

(3)8 = (011)2

(4)8 = (100)2

(5)8 = (101)2

Step 2: Group each value of step 1 to make a binary number:  

011 100 101  

So, (11100101)2 is the binary equivalent to (345)8

Step 3: Converting the binary number to hexadecimal.

Write down the binary number:  

11100101

Step 4: Group all the digits in sets of four starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of four:

1110 0101

Step 5: Use the table below to convert each set of three into an hexadecimal digit:

1110 = E, 0101 = 5

So, E5 is is the hexadecimal equivalent to the decimal number 11100101.

Divide 259875 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient

Answers

Answer: The smallest number by which 259875 should be divided to make it a perfect cube is 77.

Step-by-step explanation:

Let's expand the number 259875 into prime factors:

259875 = 3³ ∙ 5³ ∙ 7 ∙ 11

Since in the factorization, 7 and 11 appears only one time, we must divide the number 259875 by 7 · 11 = 77, then the quotient is a perfect cube.

259875 ÷ 77 = 3375

[tex]\sqrt[3]{3375} =\sqrt[3]{3^{3} \cdot 5^{3} } =3 \cdot 5 = 15[/tex]

Which graph represents the function f(x) = 2^x+ 3?

Answers

Answer:

Where's the graph?

Step-by-step explanation:

2 divided by 0.75 full divison work i dont just need the answer​

Answers

Answer:

0.375

Step-by-step explanation:

Check the picture below.

whenever we do division of decimals, we have to mind how many decimals are there on each amount, the dividend as well as the divisor, that way we pad with zeros the other amount accordingly whilst losing the dot, for example, to say divide 3 by 0.123, 3 has no decimals, whilst 0.123 has three decimals, so we can just divide 3000 by 0123, so dividing 3 by 0.123 is the same as dividing 3000 by 123.  Another example, if we were to divide say 23.761 by 555.89331, the dividend has 3 decimals, that means 3 zeros the other way, the divisor has 5 decimals, that means 5 zeros the other way while losing the dots, so we'd end up dividing 2376100000 by 55589331000, which we can simplify to just 2376100 by 5589331, as you can see in the picture in this case.

2^5 + 10=?????????????

Answers

Answer:

Answer is 42

Step-by-step explanation:

2^5 + 10

2*2*2*2*2 + 10

32 + 10

42

2^5 + 10 = 42

OR

2 x 2 x 2 x 2 x 2 + 10 = 42


Remember to always multiply/divide in equation first! And to simplify the exponent.

The times of first sprinkler activation for a series of tests with fire prevention sprinkler systems using an aqueous film-forming foam were (in sec)
27 41 22 27 23 35 30 33 24 27 28 22 24
(see "Use of AFFF in Sprinkler Systems," Fire Technology, 1976: 5). The system has been designed so that true average activation time is at most 25 sec under such conditions. Does the data strongly contradict the validity of this design specification? Test the relevant hypotheses at significance level .05 using the P-value approach.

Answers

Answer:

We reject H₀, we have enough argument to explain that the production line is out of control. Is producing sprinkler out of specification

Step-by-step explanation:

Data information:

27 41 22 27 23 35 30 33 24 27 28 22 24

sample size  n  =  13

sample mean    x  =   27.92

sample standard deviation   s  =  5.39

The manufacturing process under control will always produce an output with normal distribution, in this case as n < 30  we will use t-student distribution in our test.

Hypothesis Test:

Null Hypothesis                                H₀            x  =  25

Alternative Hypothesis                    Hₐ            x  >  25

The Alternative hypothesis indicates that the test is a one-tail test.

Significance level is  α = 0.05

From z-table and for  α = 0.05  and  df =  n  - 1  df = 13 - 1  df = 12

p-value  = 1.782

t(s)  =  (  x   -    25 ) / s/√n

t(s) = ( 27.92 -  25 )/ 5.39/√13

t(s)  =  2.92*3.605/ 5.39

t(s) = 1.95

From t-table  df = 12  we find that 1.95 corresponds to a p-value < 0.05

then as p-value < 0.05  we are in the rejection region for H₀  then we reject H₀. We can deduce that the production line for sprinkler is given products out of specification

Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 red & 6 black balls
respectively. 1 of the bags is selected at random and a ball is drawn from it. If the ball
drawn is red, find the probability that it is drawn from the third bag.

Answers

Answer:

[tex]Probability = \frac{4}{15}[/tex]

Step-by-step explanation:

B1 = first bag

B2= second bag

B3 = third bag

Let A = ball drawn is red

Since, there are three bags.

Probability of choosing one bag=  P(B1) = P(B2) = P(B3) = 1/3.

From B1: Total balls = 10

3 red + 7 black balls.

Probability of drawing 1 red ball from it , P(A) = 3/10.

From B2: Total balls = 10

8 red + 2 black

Probability of drawing 1 red ball is, P(A) = 8/10

From B3 : Total Balls = 10

4 red + 6 black

Probability of drawing 1 red ball, P(A) = 4/10 .

To find Probability given that the ball drawn is red, that the ball is drawn from the third bag by Bayes' rule.

That is , P(B3|A)

                     [tex]=\frac{\frac{1}{3} \times \frac{4}{10}} { \frac{1}{3} \times \frac{3}{10} + \frac{1}{3} \times\frac{8}{10} + \frac{1}{3} \times \frac{4}{10}}[/tex]

   

                    [tex]=\frac{4}{30} \times \frac{30}{15}\\\\=\frac{4}{15}[/tex]

Therefore, the probability that it is drawn from the third bag is 4/15.

Answer:

4/15

Step-by-step explanation:

Solution of conditional probability problem:

Given:

Bags (3R,7B), (8R,2B), (4R,6B)

Let

P(R,i) = probability of drawing a red AND from bag i

P(R, 1) = 3/10 * (1/3) = 3/30

P(R, 2) = 8/10 * (1/3) = 8/30

P(R, 3) = 4/10 * (1/3) = 4/30

Let

Let P(R) = probability of drawing a red from any bag

P(R) = sum P(R,i)  for i = 1 to 3   using the addition rule

= 3/30 + 8/30 + 4/30

= 15/30

= 1 / 2

Conditional Probability of drawing from the third bag GIVEN that it is a red

= P(3 | R)

= P(R, 3) / P(R)

= 4/30 / (1/2)

= 8/30

= 4 / 15

(Since all bags contain 10 balls, by intuition, 4 red from third / 15 total red = 4/15)

GIVING OUT BRAINLIEST HELP MEE PLEASE!! 10 PNTS ASWELL!!

Answers

the right answer is Bad

Answer:

option 2

Step-by-step explanation:

4)

Equation of a Circle with centre ( a , b) and radius r

[tex](x - a)^2 + (y-b)^2 = r^2\\[/tex]

Given centre = ( -3 , 4), r = 5

Therefore Equation

                       [tex](x - ( - 3))^2 + (y-4)^2 = 5^2\\\\(x + 3)^2 + (y-4)^2 = 25[/tex]

5)

Centre =  ( 2 , 0) , radius, r = 3

[tex](x - 2)^2 + (y-0)^2 = 3^2\\\\(x -2)^2 + y^2 = 9[/tex]

PLSSS HURRY AND NO LINKS!!
The strongest winds of Hurricane Isabel extended 50 miles in all directions from the center.
What is the area of the hurricane in square miles? Leave your answer in terms of pi.

Answers

Answer:

Area of the hurricane = 7853 or 3.14  x  50 squared

What Are the values of x and y?

Answers

Answer:

y = 72.5

x = 35.

Step-by-step explanation:

First Off, Let's Divide the question.

Let's Find the variable y :

there are 2 y(s), so it is 2y.

equation:   2y +35   =180.

I put 180 because A straight Line is always 180.

2y+35=180

1. Subtract both sides.

2y =  145

y = 72.5

Next,Find x

So y + y + x = 180.

We already know y, which is 72.5

72.5 +72.5 + x = 180

72.5 +72.5

x + 145 = 180

x =  35.

Hope This Helps!

- 10 + x < - 2 what is the solution of the inequality shown below

Answers

Answer:

x<8

Step-by-step explanation:

if 1 foot= 0.37 metres and 1 miles = 5180 feet, find the number of kilometres in 15 miles​

Answers

Since the 1 mile=1.60934kilometer
The 15x1.6093=24.1 Kilometers

The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails. How much should you charge the customer for nails?​

Answers

Answer:

$4.60

Step-by-step explanation:

1 lb ---> 80 cents

5 3/4 lb ---> 5 3/4 * 80 cents

[tex] 5 \dfrac{3}{4} \times 80 = [/tex]

[tex] = \dfrac{23}{4} \times \dfrac{80}{1} [/tex]

[tex] = \dfrac{23 \times 80}{4 \times 1} [/tex]

[tex] = \dfrac{1840}{4} [/tex]

[tex] = 460 [/tex]

460 cents = $4.60

5.75 x .80 = $4.60 total charge

Type the correct answer in the box. Use numerals instead of words. Tony bought a new car at a cost of $20,000. The value of the car decreases by approximately 12% each year. Formulate the equation that gives the value, A(+), of the car xyears since Tony bought the car. A(t)-​

Answers

9514 1404 393

Answer:

  A(x) = 20000(0.88)^x

Step-by-step explanation:

The general form of these exponential equations is ...

  A(x) = a·b^x

where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.

The growth factor is ...

  growth factor = 1 + growth rate

Here, the growth rate per year is -12%, so the growth factor is ...

  b = 1 -12% = 88% = 0.88

Of course, the initial value is a=20,000, so the equation is ...

  A(x) = 20000(0.88)^x

Other Questions
chung minh phan so sau toi gian : 21n+4/14n+3 In The Feminine Mystique, Betty Friedan argued that women who spent their lives as mothers and homemakers were generally satisfied with their lives Answer A: who spent their lives as mothers and homemakers were generally satisfied with their lives A needed counseling if they were dissatisfied with their domestic lives Answer B: needed counseling if they were dissatisfied with their domestic lives B should battle for ratification of the Equal Rights Amendment A cubic box has a 0.6 cubic decimetre side. Find the mass of air in the box in gram. (1 Liter of air has a mass of 1.3 g). please answer the question first A right triangle has a height of 22 centimeters and a base of 11 centimeters What is the area of the triangle ? SOMEONE HELP ASAP !!! If f(x) = x2 2x, find:f(-3) = [?] what is recreationWHO TELL CLEAR ANSWER WILL MARK AS BRAINLIEST 1. Choose A, B, C, or D for each gap in the following sentences (30 marks) 1. There are many interesting ........ for entertainment on TV a newspapers b. booksc. programs d. events 2. My sister likes ....... because they are colorful and funny. a. cartoons b. documentary C. plays The midpoint of two points is (5,4). If one of the points is (3,5), find the other point. 1) Mrs Tan is 43 years old and her daughter is 17 years old. How many years ago was Mrs Tan 3 times as old as her daughter?2)Amy is 9 years old younger then her younger sister. if her younger sister is now 1 year old, how many years later will Amy be 4 times as old as her younger sister? The Eastminster Widget Company has an old machine that can produce 36widgets in 9 hours, and a newer machine that can produce 40 widgets in 8hours. Working together, how long would it take to produce 100 widgets? How do I solve for a and b using the Van Der Waals equation using only the given values: P= 1 atm, V= 1.310 L, and T= 160 K please helpppp!!! its timed!!!! thank u for helping!!!!! f(x)=x^2+2x-4 and g(x)=3x+1 find 7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term What does the speaker personify in "Mending Wall," and why?1. darkness, to suggest that it will eat everything up like a hungry person2. the stones in the wall, which are shaped like loaves of bread3. the hunters' dogs, to show that they can outsmart the rabbits4. nature, to suggest that walls aren't natural like the pine trees and stones are what was the Results of the adams-onis treaty Consider a two-station production line in which no inventory is allowed between stations (i.e., the stations are tightly coupled). Station 1 consists of a single machine that has potential daily production of one, two, three, four, five, or six units, each outcome being equally likely (i.e., potential production is determined by the roll of a single die). Station 2 consists of a single machine that has a potentialdaily production of eitther three or four units both which are equally likely (i.e. it produces three units if a fair coin comes up heads and four units if ir comes up tails).Required:a. Compute the capacity of each station (units per day). Is the line balanced (do both stations have the same capacity)?b. Compute the expected throughput of the line. Does this diifer from a.?c. Suppose a second identical machine is added to station 1 and station 2. What is the expected throughput of the line. How does this compare to previous throughput. Propose two steps that could be taken to reduce the vulnerability of the US to hurricanes. Explain why you think those would be effective in saving lives and property.This is not just about planning and design of buildings and towns/cities, even though those are very important. You could write about the role of research in science and technology and their contributions to emergency preparedness.You must write at least one paragraph (roughly 150 words). Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7