Five pennies, 3 dimes, and 4 quarters are placed in a bag. What is the probability of selecting a quarter and then another quarter, given the first coin is not returned to the bag after it is drawn?

2/11

1/11

1/22

5/33

Answers

Answer 1

Answer:

2/11

Step-by-step explanation:


Related Questions

Car Survey In a survey of 3,500 people who owned a certain type of car, 700 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?


Answer ASAP plz

Answers

20% were satisfied (would buy the car)

Answer:

20%

Step-by-step explanation:

If you want to buy the car again, it means that they are satisfied. 700/3500=7/35=1/5

1/5=20%.

20% of the people were satisfied.

4+3 +3 + 10 + 5 = 25
What is the average value?

Answers

Answer:

There is 5 numbers (not including the sum/25)

The average is add up all the numbers and divide by amount of numbers

25/5=5

The average value is 5

Step-by-step explanation:

which of the following is true about the function y=0.5 x 2^x

Answers

Answer:

x

y

2

2

1

0.5

0

0

1

0.5

2

2

Step-by-step explanation:

Answer:

If the value of x increases by 1, the value of y will double.

Step-by-step explanation:

i just took the thingy

PLEASE PLEASE HELP ME!!! THIS IS DUE IN 4 MINUTES PLEASEEEEEE!!What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division.

20 in2

24 in2

32 in2

36 in2

Answers

the answer is 24in its easy

ASAP First to answer all three questions right gets brainlist

Answers

Answer:

a) 1/32 = 0.0313

b) 21.2058 cm

c) 19.635 ft2

Step-by-step explanation:

We have a total of 8 different areas in the circle.

a) The yellow area are 2 parts of a total of 8, so the probability is 2/8 = 1/4

The number 4 is one area of a total of 8, so the probability is 1/8

So the probability of landing on a yellow and then a 4 is (1/4)*(1/8) = 1/32 = 0.0313

b) The blue area is 3 parts over 8, so we can solve this using rule of three:

Total circunference -> pi*d = 18pi cm

3/8 of the circunference -> x

x = (3/8) * 18pi = 21.2058 cm

c) The purple sections are 2 parts over 8, so following the same logic as letter b), we have:

Total area -> pi*r^2 = 25pi ft2

2/8 of the area -> x

x = (2/8) * 25pi = 19.635 ft2

Use the order of operations to simplify this expression. 10.52 - 4.6 × 1.9 7.82 1.78 2.22 11.248

Answers

Cámbiate de clases mano y deja de usar esta aplicación maldito tramposo

write each number in a scientific notation
example: 2.500 = 2.5 x 10 to the power of 3
1. 300
2. 47,300
3. 24
4. 14,565
5. 7,001
6. 19,050,000
7. 33

Answers

Step-by-step explanation:

[tex]300 = 3 \times {10}^{2} \\ 47300 = 4.73 \times {10}^{4} \\ 24 = 2.4 \times {10}^{1} \\ 14565 = 1.4565 \times {10}^{4} \\ 7001 = 7.001 \times {10}^{3} \\ 19050000 = 1.905 \times {10}^{7} \\ [/tex]

Identify the percent of change as an increase or a decrease.

24 songs to 78 songs

Answers

Answer:

225% increase

Step-by-step explanation:

Since the number went up from 24 to 78 this is an increase

To find out how much

(78- 24)/24 =2.25 * 100% =225% increase

The percent of change from 24 songs to 78 songs is a 225% increase.

To identify the percent of change from 24 songs to 78 songs, follow these steps:

Find the difference: Subtract the original number of songs from the new number of songs.Calculate the percent change: Divide the difference by the original number and then multiply by 100.Determine if it is an increase or decrease: Since the number of songs increased from 24 to 78, this is a 225% Increase.

Therefore, the percent of change from 24 songs to 78 songs is a 225% increase.

Evaluate 6 P 3. 720 240 540 120

Answers

Answer:120

Step-by-step explanation: i know i am a week late but ...

The value of expression ⁶P₃ will be 120. Then the correct option is D.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The expression is given below.

⇒ ⁶P₃

Then the value of expression ⁶P₃ will be

⁶P₃ = 6! / (6 - 3)!

⁶P₃ = 6 x 5 x 4 x 3! / 3!

⁶P₃ = 6 x 5 x 4

⁶P₃ = 120

Then the correct option is D.

More about the permutation and the combination link is given below.

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Two consecutive, odd integers have the property that when the smaller is add to twice the larger, the sum is 43. Find an equation that could be used to determine the smaller integer represents by the variable n.

Answers

If the smaller integer is n, then the larger one has to be n+2

n + 2(n+2) = 43

Final answer:

To find two consecutive odd integers where the sum of the smaller integer and twice the larger is 43, we use the equation n + 2(n + 2) = 43, which simplifies to n = 13, identifying the smaller integer as 13.

Explanation:

The student is asking for an equation to solve for two consecutive odd integers such that when the smaller is added to twice the larger, their sum is equal to 43. Let's define the smaller integer as n, and since they are consecutive odd integers, the next integer would be n + 2. The equation that represents this situation is:

n + 2(n + 2) = 43

This equation can be simplified:

n + 2n + 4 = 43

Combining like terms, we get:

3n + 4 = 43

To solve for n, subtract 4 from both sides:

3n = 39

Then, divide by 3:

n = 13

Therefore, the smaller integer is 13.

find exact length of the third side

Answers

Answer: 12

               ^

Answer is |

Answer:

8

Step-by-step explanation:

The side opposite the right angle is called the hypotenuse (13), which is always the longer side.

Both of the smaller sides (5 and the third side) add up to the hypotenuse, in this case they both add up to 13.

You would have to take 5 away from 13 to find the answer.

13 - 5 = 8

In circle O, if LP congruent LK, find the measurement of the major arc PNK. A. 112 B.156 C.224 D.248

Answers

Answer:

1,5/5=279,3

Step-by-step explanation:

Morgan has a container holding 3.6 cups of ice cream. She splits it evenly between 8 friends. How many cups of ice
cream does each friend get?

Answers

2.2 cups of ice per person

Answer:

Each friend gets 0.45 cups of ice cream.

Step-by-step explanation:

Divide 3.6 by 8 and you get 0.45.

5⁸
– = 5ⁿ
5⁴

work out the value of n.​

Answers

Answer:

5 power 2 is the answer

Step-by-step explanation:

A large 24-inch pizza cut into 12 pieces and a medium 12-inch pizza with 7.85 inches of crust per slice. If she wants slice with more crust which option should she choose?

Answers

Answer:

Medium 12-inch pizza with 7.85 inches of crust per slice.

Step-by-step explanation:

You need to find out how many slices of pizza would be in each pizza.

In a 12 in. pizza you have 8 slices and in a 24 in. pizza you have 12 pieces.

You are looking for more crust not more pizza. So the first one just says 12 pieces it doesn't mention anything about crust so that's off the list. The second one says a medium 12-inch pizza with 7.85 inches of crust PER SLICE.

Then you'd multiply 8 slices by 7.85 which gives you 62.8.

Round 62.8 to the nearest whole... (63 in.)

Remember you are looking for crust!!! Not pizza!

I hope I've helped!!!!! Please leave a thanks and vote!

To compare the amount of crust per slice between the large 24-inch pizza and the medium 12-inch pizza, we need to calculate the circumference of each pizza and then determine the length of crust per slice.

For the large 24-inch pizza:

- Radius, [tex]\( r_{24} = \frac{24}{2} = 12 \)[/tex] inches

- Circumference, [tex]\( C_{24} = 2 \pi r_{24} = 2 \pi \times 12 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{24}}{12} \)[/tex] inches

For the medium 12-inch pizza:

- Radius, [tex]\( r_{12} = \frac{12}{2} = 6 \)[/tex] inches

- Circumference, [tex]\( C_{12} = 2 \pi r_{12} = 2 \pi \times 6 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{12}}{8} \)[/tex] inches (since the pizza is cut into 8 slices)

Now, let's calculate inches of crust per slice for both pizzas:

- For the large 24-inch pizza: [tex]\( \frac{C_{24}}{12}[/tex] = [tex]\frac{2 \pi \times 12}{12}[/tex] = [tex]2 \pi \)[/tex] inches of crust per slice.

- For the medium 12-inch pizza:  [tex]\( \frac{C_{12}}{8} = \frac{2 \pi \times 6}{8} = \frac{\pi}{2} \)[/tex]  inches of crust per slice.

Comparing the values, [tex]\( 2 \pi > \frac{\pi}{2} \)[/tex]. Therefore, if she wants a slice with more crust, she should choose the large 24-inch pizza.

Help, don’t understand this problem.

Answers

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 9 → (1)

x + 2y = 8 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is

- 3x - 6y = - 24 → (3)

Add (1) and (3) term by term to eliminate x

(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is

- 11y = - 33 ( divide both sides by - 11 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting in (2)

x + 2(3) = 8

x + 6 = 8 ( subtract 6 from both sides )

x = 2

Solution is (2, 3 )

Answer:

Step-by-step explanation:

hello :

here is an solution :

Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression of 32 degrees. If the horizontal distance from Kurt’s plane to the fire is 3600 feet, find the approximate altitude of his plane.

Answers

Answer:

3293 ft to nearest tenth = side

Step-by-step explanation:

To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).

sin (32) = 0.9271838546

3600/0.9271838546 = 3882.725074

= 3883 ft to nearest tenth. = slope

Then cos (32)x3882.725074 = 3292.737608

= 3293 ft to nearest tenth = side

The plane flying with an angle of depression of 32 degrees to a small fire below has an altitude of 2250 ft.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the horizontal distance from the kurt's plane to the fire is the adjacent side of the right triangle.

The altitude of the plane is the opposite side of the triangle.

Hence,

tan 32 = opposite / adjacent

tan 32° = h / 3600

cross multiply

h = 3600 tan 32°

h = 3600 × 0.6248693519

h = 2249.52966687

h = 2250 ft

Therefore, the approximate altitude of the plane is 2250 ft.

learn more on right triangle here: https://brainly.com/question/27403620

Please giving 20 points!!!
Which of the following functions satisfies these two characteristics: f(0) = 0, f(2) = π *
f(x) = -2 sec(x)
f(x) = 7sin(x/4 - 1/29)
f(x) = π cos(πx)
f(x) = 2π cos(x - π/2)

Answers

Answer:

we choose f(x) = π cos(πx)

Step-by-step explanation:

Given the information:

f(0) = 0f(2) = π

Let analyse all possible answers;

1/ f(x) = -2 sec(x)

when x= 0 we have: f(0) = -2 sec(0) = -2[tex]\frac{1}{cos(o)}[/tex] = -2 wrong

2. f(x) = 7sin(x/4 - 1/29)

when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong

3. (x) = π cos(πx)

when x= 0 we have: f(0) = πcos(π0) = cos(0) = π0 = 0

when x= 2 we have: f(2) = πcos(π2) = πcos(0) = π

True

4. f(x) = 2π cos(x - π/2)

when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0

when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong

So we choose f(x) = π cos(πx)

find the length of the third side to the nearest tenth

Answers

The length of the third side is 5

Answer:

10

1 + 100 = 101

101 is between 10 and 11

10.04987

Step-by-step explanation:

Which expression correctly represents “nine less than the quotient of a number and four, increased by three”?
StartFraction n Over 4 EndFraction minus 9 + 3
StartFraction 4 Over n EndFraction minus 9 + 3
9 minus StartFraction n Over 4 EndFraction + 3
9 minus StartFraction 4 Over n EndFraction + 3

Answers

Answer: StartFraction n Over 4 EndFraction minus 9 + 3

n/4-9 +3

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.

Answer:

n/4-9 +3

Step-by-step explanation:

2020-2021 edge

is 2.2360679 a rational or irrational number?​

Answers

Answer:

Rational

Step-by-step explanation:

2.2360679.  A rational number is a number that terminate or can be written as a fraction.  In this case, the number can be written as 22,360,679/10,000,000.  

Final answer:

The number 2.2360679 is a rational number because it can be expressed as the fraction 22360679/10000000. Rational numbers can be written as fractions with integer numerators and denominators (where the denominator is not zero) or terminates.

Explanation:

The number 2.2360679 is a rational number. A rational number can be expressed as a fraction, where both numerator and denominator are integers and the denominator is not zero. In this case, 2.2360679 can be written as an approximate fraction rounded to seven decimal places: 22360679/10000000.

On the other hand, an irrational number cannot be expressed as an integer fraction. It continues indefinitely without repeating, such as the number pi. Therefore, 2.2360679 is not an irrational number as it doesn't meet this criterion.

Learn more about Rational here:

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URGENT PLEASE Solve the equation using the quadratic formula. 3x^2 - 18 = -6

Answers

Answer:

x = 2 and x = -2

Step-by-step explanation:

The quadratic formula of a quadratic of the form ax² + bx + c is:

x = [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or x = [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:

3x² - 12 = 0

a = 3 and c = -12. Notice that since there's no x term, b = 0.

Plug these into the quadratic formula:

x = [tex]\frac{0+\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{\sqrt{144} }{6}=12/6=2[/tex]  

or

x = [tex]\frac{0-\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{-\sqrt{144} }{6}=-12/6=-2[/tex]

So, x = 2 and x = -2.

Answer: x = -2, x = 2

Step-by-step explanation:

The quadratic formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a} \\\\AND\\\\x = \frac{-b-\sqrt{b^2-4ac} }{2a} \\[/tex]

You can find the variables a, b, and c in the standard form of a quadratic equation:

[tex]f(x)=ax^2 + bx+c[/tex]

Your equation:

[tex]f(x)=3x^2 + 0x -12[/tex]

The variables are:

a = 3

b = 0

c = -12

Substitute those for the variables in the quadratic formula:

[tex]x=\frac{-0+\sqrt{0-(4*3*-12)}}{2(3)} \\\\AND\\\\x=\frac{-0-\sqrt{0-(4*3*-12)}}{2(3)} \\[/tex]

You can simplify this to get:

[tex]x=\frac{-\sqrt{144}}{6} \\[/tex]

(or positive square root of 144.)

The square root of 144 is 12, and 12/6 = 2.

The x-values are -2 and 2.

Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since, she walked 90, percent of what she walked the day before.
What is the total distance Rosie has traveled by the end of the 10th, start superscript, start text, t, h, end text, end superscript day?
Round your final answer to the nearest kilometer.

Answers

Rosie traveled a total distance of approximately 117 kilometers by the end of the 10th day, using the formula for the sum of a geometric series and rounding to the nearest kilometer.

To find the total distance that Rosie traveled by the end of the 10th day, we use the formula for the sum of a geometric series. The first term of this series is 18 kilometers and each subsequent term is 90% of the previous term, indicating a common ratio r of 0.9.

The formula for the sum of the first n terms of a geometric series is [tex]\( S_n = \frac{a_1(1 - r^n)}{1 - r} \)[/tex], where [tex]\( a_1 \)[/tex] is the first term, r is the common ratio, and n is the number of terms.

Using this formula, the total distance [tex](\( S_{10} \))[/tex] that Rosie traveled after 10 days is:

[tex]\[ S_{10} = \frac{18(1 - 0.9^{10})}{1 - 0.9} \][/tex]

Calculating this, we get:

[tex]\[ S_{10} = \frac{18(1 - 0.3487)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{18(0.6513)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{11.7234}{0.1} \][/tex]

[tex]\[ S_{10} = 117.234 \][/tex]

To the nearest kilometer, Rosie traveled 117 kilometers by the end of the 10th day.

the length of a box of colored pencils is 6 inches, the width is 4 inches, and the height is 3/8 inch. what is the volume of the box?

Answers

Answer:

9cm3

Step-by-step explanation:

6 x 4 x 3/8=9cm3

Answer:

9 cm³

Step-by-step explanation:

V = l x w x h

= 6 x 4 x 3/8

= 24 x 3/8

= 9 cm³

if 9y^2-21y+8 is written as p^2-7p+8 what is p in terms of y

Answers

Answer:

p = 3y

Step-by-step explanation:

Compare like terms in both expressions, that is

- 7p = - 21y ( divide both sides by - 7 )

p = 3y

and as a check

p² = (3y)² = 9y²

The value of p is in terms of y as p = 3y

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that if 9y²-21y + 8 is written as p²-7p + 8

⇒ 9y²- 21y + 8 = p²-7p + 8

Comparing similar terms in the two expressions, that is

⇒ - 7p = - 21y

Divide both sides by - 7

⇒ p = 3y

And p² = (3y)²

⇒ p² = (3y)²

⇒ p² = 9y²

⇒ p = 3y

Hence, the value of p is in terms of y as p = 3y

Learn more about the equation here:

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Please help will mark brainliest

Answers

Answer:

26% of people from city B work less than 20 hours

Answer:

26%

Step-by-step explanation:

Look at the row for city B, first column is for "less than 20"

Find a unit vector u with the same direction as x =<40, 9>.

<4/5,3/5>
<9/41,40/41>
<40/41,9/41>
<40/49,9/49>

Answers

Answer:

<40/41,9/41>

Step-by-step explanation:

According to Algebra Lab, "To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector."

Magnitude of <40, 9> is 41

Divide that by the vector is

<40/41,9/41>

Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to
help answer the question.
0.00
0.25
0.50
0.75
1.00
Probability
0.5000
0.5987
0.6915
0.7734
0.8413
0.8944
0.9332
0.9599
1.25
1.50
1.75
P(-1.25 sz 50.25)
P(-1.25 5250 75)
P(O 25 sz 51.25)
P(O 75 525 125)

Answers

Answer:

c

or

P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)

Step-by-step explanation:

which of the following data would best be displayed on a scatter plot to show a definite positive or negative correlation?

answers :

A. Favorite Ice cream flavors and the age of the people who chose them

B. Growth of marigolds and the amount of fertilizer fed to the plants

C. Daily temperatures in Raleigh

D. Number of babies born at several different hospitals

Answers

answer B growth of marigolds and the amount of fertilizer

Answer:

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▕╮╰▏╯┃╭╮┃┃╭╮┃╰▏  

▕╯┈▏┈┗┻┻┛┗┻┻┻╮▏  

▕╭╮▏╮┈┈┈┈┏━━━╯▏

▕╰╯▏╯╰┳┳┳┳┳┳╯╭▏  

▕┈╭▏╭╮┃┗┛┗┛┃┈╰▏  

▕┈╰▏╰╯╰━━━━╯┈┈▏

Step-by-step explanation:

entre sus amigos Jorge tiene fama de fantásioso es habitual escuchar narrar como el verano pasado escaló el monte everest (8848m) y como una semana después buceo hasta el piso de la fosa marina de Tonga (-10882 m) ¿cual es la diferencia entre estos números?

Answers

Answer:

-2034

Step-by-step explanation:

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Entries for Issuing Bonds and Amortizing Discount by Straight-Line Method On the first day of its fiscal year, Chin Company issued $18,600,000 of five-year, 10% bonds to finance its operations of producing and selling home improvement products. Interest is payable semiannually. The bonds were issued at a market (effective) interest rate of 12%, resulting in Chin Company receiving cash of $17,230,938.(a) Journalize the entries to record the following: 1. Issuance of the bonds. 2. First semiannual interest payment. The bond discount amortization is combined with the semiannual interest payment. Round your answer to the nearest dollar. 3. Second semiannual interest payment. The bond discount amortization is combined with the semiannual interest payment. Round your answer to the nearest dollar. (b) Determine the amount of the bond interest expense for the first year. (c) Explain why the company was able to issue the bonds for only $9,594,415 rather than for the face amount of $10,000,000. In which situation might a country specialize in producing a particular good? the large rectangle below represents one whole what factors led to the weakening of the catholic church and the beginning of the refomation The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several lakes in your water district. A total of 15 devices will be used. Assume that each device has a probability of 0.05 of failure during the course of the monitoring period. What is the probability that one of the devices fail? Which of these credit card features would be best for customers who oftenforget to send in their payments on time? What year did the Cold War begin? Use the earnings statement below to calculate the total percentage of income for taxes. To the nearest one percent, the percentage of gross income going to taxes and FICA is: 44% 31% 69% 11% A volume of 60.0 mL of a 0.120 M HNO3 solution is titrated with 0.840 M KOH. Calculate the volume of KOH required to reach the equivalence point. Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can beused to find c her cousin's age? World War I and World War II brought about changes for minorities and women because these conflicts led to A. greater integration in housing and schools throughout the nation B.the passage of the Equal Rights Amendment C.a greater number of high-level management positions D.the creation of new job opportunities List one achievement of the Etruscans True/False - In the first debate, Lincoln came out "swinging" and landed a "direct punch" against Douglas. A baker tops each specialty cupcake with a flower that he makes from buttercream frosting. He can make 56 flowers each hour. Suppose the baker made 392 flowers yesterday. How many hours did he spend making the flowers? A) 3 B) 5 C) 7 D) 8 CUALES HECHOS SOBRENATURALES SE OCURRIEROPN EN LA LEYENDA DEL CALLEJON DEL BESO HELP NOW PLEASE !!!Mrs. Havarti's art class made five identical conical sculptures. Each sculpture has a diameter of 9 cm and a slant height of16.5 cm. The lateral area of each sculpture is to be covered with newspaper. How many square centimeters of newspaper areneeded to cover the lateral areas of all five sculptures? (Use 3.14 for x and round to the nearest hundredth. Recall the formulaLA- rl.)233.15 cm466.29 cm1,165.73 cm2,331.45 cm Mary's construction company receives a lucrative contract to build car ports on a U.S. Air force base. To celebrate she purchases a new sports car. The salesman of the car feels happy about his big sale and celebrates by going to the ballet with a date. A ballerino pays his rent. A landlord hires a plumber to install new toilets. In this scenario what macroeconomic process is being described? 6. Frozen fruit bars cost $3.95 for 5 bars.Find how many you can buy with $12. Show your work. In Shakespeare's Hamlet, the character Hamlet reveals in a monologue that he is pretending to be mad. Concerned, the King and the Queen try to find out the reason behind Hamlet's unusual mood. The court adviser, Polonius, tries to help them by promising the King that he will find out the reason for Hamlet's behavior. Meanwhile, the other characters Gertrude, Claudius, and Ophelia try to cheer up Hamlet in their own way.Which description is an example of dramatic irony?A. The audience knows that Polonius wants to help the King and Queen.B. Only the audience knows that Hamlet is just acting like he is mad.C. The audience knows that all the characters want to help Hamlet.D. Only Gertrude, Claudius, and Ophelia know how to help Hamlet. From a standard deck of 52 cards, what is the probability of picking a 5 of diamonds at random from the deck?A)1/13B)1/26C)1/4D)1/52