Someone help me !!!!!!!!!!!!

To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

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When we compare this to the options provided, we can see that the equation is: a. y = -x²/2+x+1. The answer is (a) y = -x²/2+x+1.

A parabola's equation can take many different forms, such as vertex form, standard form, or intercept form, depending on its particular shape and orientation.

The parabola's typical vertex form equation is y = a(x - h)² + k

We must locate the vertex form of the parabola in order to get its equation, which is:

y = a(x - h)² + k

Using to determine the vertex

h = -b/2a

To begin, we can locate the vertex:

(-1,0) (1,1.5) (3,0) (-2, -3) (4,-3) (-3,-6) (5,-6)

In order to average the x-values of the two sets of x-intercepts, the vertex must be halfway between the parabola's x-intercepts:

h = (-1 + 3)/2 = 1

The vertex and another point can then be used to find the value of "a":

y = a(x - 1)² + k

Using the point (4, -3):

-3 = a(4 - 1)² + k

-3 = 9a + k

Using the point (1, 1.5):

1.5 = a(1 - 1)² + k

1.5 = k

k = 1.5 is substituted into the second equation:

-3 = 9a + 1.5

-4.5 = 9a

a = -0.5

y = -0.5(x - 1)² + 1.5

When we multiply the equation, we get:

y = -0.5x² + x + 1

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Answer:

A

Step-by-step explanation:

Equation of a line is:    y = mx + b    where  m = slope    b = y axis intercept

      To find the slope between any two of the given points :

  say   18, 100   and     27, 85

    m = slope =  (y1-y2) / (x1-x2) = (85-100) / ( 27-18)  = -15/12 = -5/3  

so now you have

   y = - 5/3 x   + b       we still need to find the value of b

                                        use any point to calculate b

                              say    15, 106

     106 = - 5/3 (15) + b    

          b = ~ 131

the equation is then     y = - 5/3 x + 131     closest  to answer 'A'

Answer: 225 centimeters

Step-by-step explanation:

every 1 meter is 100 centimeter

2.25 meters = 225 centimeters

Answer:

225 centimeters

Step-by-step explanation:

To convert meters to centimeters, you multiply the meters by 100 to get your centimeters.

Let x be the length of the pen and y be the width of the pen.

The total cost of the pen is given by:

Cost = 3x + 5y = 300

3x + 5y = 300

3x = 300 - 5y

x = (300 - 5y)/3

The area of the pen is given by:

Area = xy = (300 - 5y)/3 * y

We'd need a sample size of at least 659 to estimate the population proportion with a periphery of error of 0.03.

To find the sample size demanded a confidence interval with a periphery of error of 0.03, we need to use the following formula

n = ( zσ/ E) * ( zσ/ E) * pq

where

z is the z- score corresponding to the asked position of confidence( let's assume 95 confidence, which corresponds to a z- score of 1.96)

σ is the population standard deviation( which is unknown in this case, so we'll use a conservative estimate of0.5)

E is the periphery of error( which is0.03)

p is the estimated proportion( which is0.41)

q = 1- p

Plugging in the values, we get

n = (1.960.5/0.03) * (1.960.5/0.03*0.41( 1-0.41) ≈658.72

Rounding up, we get a sample size of 659. thus, we'd need a sample size of at least 659 to estimate the population proportion with a periphery of error of 0.03, assuming a 95 confidence position and a population proportion estimate of 0.41.

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The author of the poem, "Heritage," is the Jamaican-American poet, Claude McKay. Based on the poem, it is clear that he is nostalgic for the fruits and landscapes of Jamaica.

Here is an acrostic list of some of the things he might be nostalgic for:

J - Joyful memories of fruit-trees laden with bananas, cocoa, and alligator pears

A - Awe-inspiring mystical blue skies over the hills

M - Memories of dewy dawns

A - Alligator pears and avocados, also known as butter pears, grown in Jamaica

I - Images of low-singing rills, small streams or brooks

C - Crisp tangerines,

A - Appreciation for the highest prize at parish fairs, which celebrates the bountiful harvests of Jamaica

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Without specific values for the number of equations solved, we cannot determine the constant of proportionality. However, we can determine the ordered pair that represents the number of equations solved correctly by both Drake and Lakeisha when Drake solves one equation correctly.

Let x be the number of equations Drake solves correctly and y be the number of equations Lakeisha solves correctly. We want to find the ordered pair (x,y) when Drake solves one equation correctly. If Drake solves one equation correctly, then after 10 minutes, he has solved 1/2 of an equation correctly, and after 20 minutes, he has solved 1 equation correctly.

Let's assume that Lakeisha's rate of solving equations is constant over time. Then, we can use proportions to find y, the number of equations Lakeisha solves correctly when Drake solves one equation correctly:

10/20 = x/1 and 10/20 = y/k, where k is the number of equations Lakeisha solves correctly when both Drake and Lakeisha solve one equation correctly.

Simplifying the equations, we get x = 1/2 and y = k/2.

To find k, we can use the fact that the ratios x/y and 10/20 are equal:

x/y = 10/20

Substituting x = 1/2 and y = k/2, we get:

(1/2)/(k/2) = 10/20

Simplifying and solving for k, we get:

k = 1

Therefore, the ordered pair that represents the number of equations solved correctly by both Drake and Lakeisha when Drake solves one equation correctly is (1,1).

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The ordered pair would be (1, k), where k is the constant of proportionality that we found earlier.

What is constant of proportionality?

The constant of proportionality is a value that relates two variables that are directly proportional to each other. In other words, it is the ratio between two quantities that are always equal, regardless of the specific values of the variables.

Without knowing the actual values for Drake and Lakeisha's number of equations solved, we cannot determine the constant of proportionality. However, if we assume that their values follow a linear relationship, we can use the given information to find the constant of proportionality.

Let's define the constant of proportionality as k. Then, we can set up two equations:

10k = y1/x1 (where y1 and x1 are the number of equations solved by Lakeisha and Drake, respectively, after 10 minutes)

20k = y2/x2 (where y2 and x2 are the number of equations solved by Lakeisha and Drake, respectively, after 20 minutes)

To find the value of k, we can solve for it in either equation. Let's use the first equation:

10k = y1/x1

k = y1/(10x1)

Now, to find the ordered pair that represents the number of equations solved correctly by both Drake and Lakeisha when Drake solves one equation correctly, we need to use the equation of the line:

y = kx

If Drake solves one equation correctly, then x = 1. Substituting this into the equation, we get:

y = k(1) = k

So the ordered pair would be (1, k), where k is the constant of proportionality that we found earlier.

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The expression that is the difference of two squares is [tex]9a^2 - 4b^6[/tex]

The difference of two squares is an algebraic expression of the form a² - b², which can be factored as (a + b)(a - b).

Using this rule, we can determine which of the given expressions is the difference of two squares.

[tex]9a^2 - 4b^6[/tex] is the difference of two squares because [tex]9a^2[/tex] is a perfect square [tex](3a)^2[/tex]and [tex]4b^6[/tex] is a perfect square[tex](2b^3)^2[/tex]. Therefore, we can write:

[tex]9a^2 - 4b^6 = (3a + 2b^3)(3a - 2b^3)[/tex]

So, the expressions that are the difference of two squares is [tex]9a^2 - 4b^6[/tex]

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Step-by-step explanation:

24 times, as there are no orange marbles in the set.

so, every pull will produce a marble that is not orange with 100% certainty.

in general, we have 12 marbles.

let's change the problem description into picking a marbles that is not blue.

we have 6 blue marbles.

the chance to pick a blue marble is therefore 6/12 = 1/2.

and the probability to not pick a blue marbles is 1 - 1/2 = 1/2.

so, in 24 pulls, we expect 24× 1/2 = 12 times to get a marble that is not blue.

or change it to "not green" marbles.

5 green marbles.

the probability to pick a green marble is 5/12.

the probabilty to not pick a green marble = 1 - 5/12 = 7/12.

in 24 pulls we expect 24 × 7/12 = 14 times to get a marble that is not green.

it change it to "not purple" marbles.

1 purple marble.

the probability to pick a purple marble is 1/12.

the probabilty to not pick a purple marble = 1 - 1/12 = 11/12.

in 24 pulls we expect 24 × 11/12 = 22 times to get a marble that is not purple.

Answer: To determine the maximum number of boxes that the forklift can carry in the crate, we need to know the weight of each box and the weight capacity of the forklift. Let's assume that each box weighs 20 pounds and the weight capacity of the forklift is 2000 pounds.

To find the maximum number of boxes, we need to subtract the weight of the crate from the weight capacity of the forklift and then divide by the weight of each box:

Maximum number of boxes = (Weight capacity of forklift - Weight of crate) / Weight of each box

Maximum number of boxes = (2000 - 150) / 20

Maximum number of boxes = 1850 / 20

Maximum number of boxes = 92.5

Since we cannot have a fraction of a box, we need to round down to the nearest whole number. Therefore, the forklift can carry a maximum of 92 boxes in the crate.

Step-by-step explanation:

Using the functions f(x) and g(x) as F(x)=x²-16; g(x)=x+4, (f/g)(x) = (x^2 - 16)/(x + 4) when x = -4. So, the correct answer is option D.

To find (f/g)(x), we need to divide f(x) by g(x). The notation (f/g)(x) is another way of representing the function f(x)/g(x).

So, we first need to find f(x)/g(x) by dividing f(x) by g(x):

f(x)/g(x) = (x^2 - 16)/(x + 4)

Now, we can plug in the values of x in each option and see which one gives us the correct function.

Option A: (f/g)(-4) = ((-4)^2 - 16)/(-4 + 4) = undefined

Option B: (f/g)(4) = (4^2 - 16)/(4 + 4) = -1

Option C: (f/g)(4 - 4) = (0^2 - 16)/(4 - 4) = undefined

Option D: (f/g)(-4 - 4) = ((-4)^2 - 16)/(-4 - 4) = 0

Therefore, the correct answer is option D: (f/g)(x) = (x^2 - 16)/(x + 4) when x = -4.

Note that options A and C give undefined values because they have x + 4 in the denominator, which makes the function undefined at x = -4 and x = 4, respectively.

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Answer: A: 4

Step-by-step explanation:

This is the number we will start the line, if we were to graph this example. We would then go up 1 page for every hour (1 y for every x), on the graph.

1. The mean number of households that will have one or more cats is 15.

2. This means that getting 10 or fewer households with cats out of 50 is not extremely unusual, as there is a 5.3% chance of it happening by random chance alone.

The mean number of households that will have one or more cats can be calculated as:

Mean = (30/100) x 50 = 15

Therefore, the mean number of households that will have one or more cats is 15.

The standard deviation can be calculated using the formula:

Standard deviation = [tex]\sqrt{(npq)}[/tex]

where n is the sample size (50), p is the probability of success (30/100 = 0.3), and q is the probability of failure (1 - p = 0.7).

Standard deviation = sqrt(50 x 0.3 x 0.7) = 3.08

Rounding to 1 decimal place, the standard deviation is 3.1.

If 10 of the 50 random households had one or more cats, we can calculate the z-score as:

z = (x - μ) / σ

where x is the observed number of households with cats (10), μ is the mean (15), and σ is the standard deviation (3.1).

z = (10 - 15) / 3.1 = -1.61

Looking up the z-score in a standard normal distribution table, we find that the probability of getting a z-score of -1.61 or lower is 0.053.

This means that getting 10 or fewer households with cats out of 50 is not extremely unusual, as there is a 5.3% chance of it happening by random chance alone.

However, it is somewhat lower than the expected value of 15, which suggests that the sample may not be fully representative of the population.

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Answer:

26) 1.32

27) 90

28) 0.00845

29) 2.56x10^-1

30) 9.5x10^-3

31) 7.8x10

If the decision variables for a problem have to be integers, rounding the linear programming optimal solution for that problem will always result in a feasible solution.

However, this solution may not always be optimal. It may result in either a feasible or infeasible solution depending on the problem constraints.

Rounding may also result in an optimal solution if the optimal solution happens to already have integer values for the decision variables. Therefore, rounding may result in a feasible and optimal solution or just a feasible solution but not necessarily always optimal.

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The total number of oranges used in Bertha's pyramid is 24 + 6 + 2 + 1 = 33 oranges.

To calculate how many oranges are used in Bertha's pyramid, we first need to find out how many oranges are in each

layer of the pyramid. Since the base of the pyramid is a rectangle that is 4 oranges by 6 oranges, there are a total of 4 x 6 = 24 oranges in the base layer.

For the second layer of the pyramid, each orange rests on 4 oranges below it.

Since the base layer has 24 oranges, there will be 24 / 4 = 6 oranges in the second layer.

For the third layer, each orange again rests on 4 oranges below it.

So there will be 6 / 4 = 1.5 oranges in the third layer.

Since we cannot have half an orange, we round up to 2 oranges.

Finally, the top layer of the pyramid will consist of a single orange.

Therefore, the total number of oranges used in Bertha's pyramid is 24 + 6 + 2 + 1 = 33 oranges.

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Therefore, the company made $48.3 million (written in scientific notation as 4.83 x 10⁷) that year from selling new cars.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The expressions on both sides of the equals sign must have the same value for the equation to be true. Equations can involve a wide range of mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. They are used to solve problems in various fields such as physics, engineering, economics, and many others.

Here,

To find the total revenue generated by the company, we need to multiply the number of new cars sold by the average price per car. We can do this as follows:

Total revenue = number of new cars sold x average price per car

Total revenue = 2.3 million x $21,000

To multiply these two numbers, we can use the distributive property:

Total revenue = (2.3 x 10⁶) x ($21,000)

Total revenue = 2.3 x $21 x 10⁶

Multiplying 2.3 by 21 gives us 48.3, which we can write in scientific notation as 4.83 x 10¹. We can then add the exponents to get:

Total revenue = 4.83 x 10¹ x 10⁶

Total revenue = 4.83 x 10⁷

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The area of the paper remains  is 238.14 cm².

Area is the region bounded by a plane shape.

To calculate the area of the paper that remains, we use the formula below.

Formula:

Where:

From the diagram in the question,

Given:

Substitute these values into equation 1

Hence, the area  is 238.14 cm².

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Step-by-step explanation:

Given :

d = 3.6m

r = d/2

r = 3.6/2

r = 1.8 m

We know that,

C = 2πr

C = 2 * 22/7 * 1.8

C = 11.3 m

Now,

A = π r²

A = 22/7 × (1.8)²

A = 22/7 × 3.24

A = 10.1 m²

Answer:

The Radius is 1.8, The circumference is 11.3 ,The area is 10.2

Step-by-step explanation:

The radius of a circle from diameter: if you know the diameter d , the radius is r = d / 2 .

To calculate the circumference, you need the radius of the circle: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation.That's it; you found the circumference of the circle.Or you can use the circle's diameter:Multiply the diameter by π, or 3.14.The result is the circle's circumference.


Diameter of circle= 3.6cm So, radius of circle=3.6/2Radius of circle = 1.8 Now ,Area of circle =πr². [r=radius] so 3.14 times 1.8 times 1.8 and you get 10.17 then round it to the nearest tenth and it is 10.2

The conditions will the linear equations have no solutions, one solution, infinitely many solutions are specified by variables and their coefficient matrix and states if the system is consistent or inconsistent.

Let us assume simple equations:

ax + by = c

ex + fy = g

Here a, b, c, e, f, and g are constants.

The different conditions are determined as:

1. No solutions: It is represented by D, If the determinant of the coefficient matrix is zero and the procedure is inconsistent, then we can assume that the system has no solutions.

2. One solution: If the coefficient matrix of any system is non-zero, then the system has one solution.

3. Infinitely many solutions: If the system is Consistent and the determinant of the coefficient matrix is zero, then the system has  Infinitely many solutions.

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In table 9.1, the marginal cost of producing the seventh unit of output is equal to $8.
Marginal cost refers to the additional cost incurred when producing one more unit of output. To find the marginal cost of producing the seventh unit of output, follow these steps:

1. Locate the total cost column in table 9.1.
2. Identify the total cost of producing 6 units of output.
3. Identify the total cost of producing 7 units of output.
4. Subtract the total cost of producing 6 units from the total cost of producing 7 units.

The difference you get from step 4 is the marginal cost of producing the seventh unit of output.

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Answer:

The first, third, fifth and 6th statements are true.

Step-by-step explanation:

Answer:

Here are the ones you should select:

Step-by-step explanation:

1) The slope of AB is equal to slope of AC

Rise over run for AB =2/4=1/2

Rise over run for AC=3/6=1/2

so they are equal

2) Slope of AB is not equal to BE because of visual reasons but if you need an explanation I can provide it

3) AB is a segment on the line, so the slopes are equal as you can see in the illustration provided in the question

4/5) Slope=[tex]\frac{rise}{run}[/tex], but AE/AB is not that, BE/AB is rise/run, so it's correct

6) CD/AD=rise/run, so it's correct

sorry if i got anything wrong!

To give a recursive definition of the functions max and min, we can start by defining the base case and then building upon it.

For the function max, the base case would be when we have only two numbers, a1 and a2. In this case, we would simply compare the two numbers and return the maximum.

max(a1, a2) =
- a1 if a1 > a2
- a2 if a2 > a1

To extend this definition to n numbers, we can use recursion. We first find the maximum of the first n-1 numbers using the same recursive definition. We then compare this maximum with the nth number and return the greater of the two.

max(a1, a2, ..., an) =
- max(a1, a2, ..., an-1) if max(a1, a2, ..., an-1) > an
- an if an > max(a1, a2, ..., an-1)

Similarly, for the function min, the base case would be when we have only two numbers, a1 and a2. In this case, we would simply compare the two numbers and return the minimum.

min(a1, a2) =
- a1 if a1 < a2
- a2 if a2 < a1

To extend this definition to n numbers, we can use recursion. We first find the minimum of the first n-1 numbers using the same recursive definition. We then compare this minimum with the nth number and return the smaller of the two.

min(a1, a2, ..., an) =
- min(a1, a2, ..., an-1) if min(a1, a2, ..., an-1) < an
- an if an < min(a1, a2, ..., an-1)

Therefore, we have provided recursive definitions of the functions max and min, where max(a1, a2,.. an) and min(a1, a2,. an) are the maximum and minimum of the n numbers a1, a2,.... an respectively.

Let's start with the base cases:
1. max(a1): In this case, the maximum value is a1 itself, as there's only one number.
2. min(a1): Similarly, the minimum value is a1 when there's only one number.

Now, let's define the recursive steps for both max and min functions:

1. max(a1, a2, ..., an):
  - Compare a1 with the maximum value of the remaining n-1 numbers, i.e., max(a2, a3, ..., an).
  - If a1 is greater than max(a2, a3, ..., an), then max(a1, a2, ..., an) = a1.
  - Otherwise, max(a1, a2, ..., an) = max(a2, a3, ..., an).

2. min(a1, a2, ..., an):
  - Compare a1 with the minimum value of the remaining n-1 numbers, i.e., min(a2, a3, ..., an).
  - If a1 is smaller than min(a2, a3, ..., an), then min(a1, a2, ..., an) = a1.
  - Otherwise, min(a1, a2, ..., an) = min(a2, a3, ..., an).

By using these recursive definitions, you can find the maximum and minimum of n numbers a1, a2, ..., an respectively.

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Using a trigonometric relation we can see that the correct option is the last one;

4. 348.5 ft​

We have a right triangle, so we can use trigonometric relations.

The angle at the top of the triangle is a, and it must solve the equation:

a + 19° = 90°

a = 90° - 19° = 71°

Now we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

REplacing what we know:

tan(71) = ?/120 ft

120ft*tan(71) = ? = 348.5ft

That is the distance.

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The value of a for which the solution of the inequality is all real numbers is a = 5.

We have to first simplify the inequality:

A(x + 3) < 5x + 15 - x

Ax + 3A < 4x + 15

Ax - 4x < 15 - 3A

Simplifying further:

x(A - 4) < 15 - 3A

Now, we need the inequality to hold for all real values of x. This means that the coefficient of x, (A - 4), must have a fixed sign, and that the right-hand side, 15 - 3A, must be unbounded.

For the coefficient of x to have a fixed sign, we need either A - 4 < 0 or A - 4 > 0. This means that A must be less than 4 or greater than 4.

For the right-hand side to be unbounded, we need 15 - 3A to be equal to positive or negative infinity. Since 15 - 3A is a linear function of A, this only occurs when A = 5.

So, the solution to the inequality for all real numbers is:

if A < 4, then the solution is x < (15 - 3A) / (4 - A)

if A > 5, then the solution is x > (15 - 3A) / (4 - A)

if A = 5, then the solution is all real numbers.

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Answer:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

Step-by-step explanation:

To find the sample space of flipping a quarter three times, we need to list all possible outcomes or combinations of heads (H) and tails (T) when flipping the quarter.

Since we are flipping the quarter three times, we can use a tree diagram to help visualize the different possible outcomes.

Starting with the first flip, we have two possible outcomes: H or T. Each of these outcomes will have two possible outcomes for the second flip (H or T), resulting in four possible outcomes so far: HH, HT, TH, TT.

For the third flip, each of the four outcomes from the second flip will have two possible outcomes (H or T), resulting in a total of eight possible outcomes for the third flip.

Combining all of the outcomes from each flip, we get the following sample space:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

This is the complete list of all possible outcomes when flipping a quarter three times.

Answer:

460.46

Step-by-step explanation:

If a fence costs $2.99 per foot, the cost of the feence will be 154(2.99) = $460.46

How to find the area of the circular flour

The formula for finding the area of a circle is expressed as:

A = πr²

r is the radius of the circle

Given that r = 7 feet

A = π(7)²

A = 49 * 22/7

A = 22 * 7

A = 154 square feet

If a fence costs $2.99 per foot, the cost of the fence will be 154(2.99) = $460.46

In the circle the mesaure of ∠ACF is  7

The distance from the centre of a circle to any point on the boundary is called the radius. The radius is half of the diameter; 2r=d 2 r = d . The line segment that joins two points on the circle is a chord.

If diameter of a circle bisects a chord ,then it must be perpendicular to the chord.

∴ m∠ACF = 90°  

(8x + 34)° = 90°

8x = 90 - 34

x = 56/8

x = 7

Hence,mesaure of ∠ACF = 7

Complete question : In Circle C, the diameter AB bisects the chord EF.

If m∠ACF = (8x+34)°, enter in the correct value of x.

Learn more about Chord here

https://brainly.com/question/21686011

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