5. The volleyball team has a double-header on Friday. The probability that they
will win both games is 38%. The probability that they will win just the first game is
70%, What is the probability that the team will win the second game given that
they have already won the first game?

Answers

Answer 1

Answer: 54.29%

Step-by-step explanation:

Given: The probability that they  will win both games is 38%.

i.e. P( both games will win) =0.38

The probability that they will win just the first game is  70%.

P(first game will win) = 0.70

To find : P(second game will win| first game will win)

Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]

So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]

[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]

Hence, the required probability = 54.29%


Related Questions

(−2a+5−b)⋅(−5) <- does this equal to 10a−25+5b?

Answers

Answer:

Yes!

Step-by-step explanation:

Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.

Answers

Answer:

26.5 liters

Step-by-step explanation:

We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78  by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.

The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.

Answers

Answer:

The upper bound is 97.5 cm

Step-by-step explanation:

The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound  is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation

Where the number is given to the nearest 100, add and subtract  half of hundred to obtain the upper bound and lower bound respectively

For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;

Upper bound = 95 cm + 5/2 cm = 97.5 cm

The upper bound = 97.5 cm.

Can you help me find all the seventh roots of unity? what do they look like graphed?

Answers

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

Write each fraction as a decimal and a percent. A) 7/8 B) 9/75 C/ 120/75​

Answers

Answer:

A) 0.875, 87.5%

B) 0.12, 12%

C) 1.6, 160%

Step-by-step explanation:

Answer:

A) 0.875, 87.5%

B) 0.001, 0.1%

C) 1.6, 160%

Step-by-step explanation:

I honestly just used a calculator, but it could also be solved using the butterfly technique. For percentages just move the decimal to the left two places.

What is the center of the circle with the equation (x+4)2 + (y - 2)2 = 16?

Answers

Answer:

The center of the circle is

( - 4 , 2)

Step-by-step explanation:

Equation of a circle is given by

(x - h)² + ( y - k)² = r²

where r is the radius

(h, k) is the center of the circle

The center of a circle is given by

( - h , - k)

From the question equation of the circle is

( x + 4)² + ( y - 2)² = 16

Comparing with the general equation above

( h , k) = ( 4 , - 2)

The center of the circle is

( - h , - k) = ( - 4 , -(-2))

We have the final answer as

( - 4 , 2)

Hope this helps you

How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)

Answers

Answer:

The positive integer factors of 15552 that are perfect squares are;

1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184

Step-by-step explanation:

The positive integer factors of 15552 are;

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552

The perfect square integers are;

1 = 1 × 1

4 = 2 × 2

9 = 3 × 3

16 = 4 × 4

36 = 6 × 6

64 = 8 × 8

91 = 9 × 9

144 = 12 × 12

324 = 18 × 18

576 = 24 × 24

1296 = 36 × 36

5184 = 72 × 72

Therefore, the positive integer factors of 15552 that are perfect squares are;

1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184.

HELP idk what the slope is

Answers

Answer:

the slope is -3

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Jake ran 4 1/4 miles on Monday and 2 2/3 miles on Tuesday. On Wednesday he ran 1 fewer miles then he ran on Monday. How many miles did he run in all? PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN

Answers

Answer:

Jake ran 10 1/6 miles in total

Step-by-step explanation:

4 1/4 + 2 2/3 - (4 1/4-1).

                  v

6 11/12 + 3 1/4

          v

6 11/12 + 3 3/12 = 10 1/6

Jake ran 10 1/6 miles in total (Mon, Tues, Wed).

Answer:

61/6 or 10.1666666667

Step-by-step explanation:

Monday = 4  1/4

Tuesday = 2  2/3

Wednesday = Monday - 1

=> Monday = 17/4 miles

=> Tuesday = 8/3 miles

=> Wednesday = 17/4 - 4/4 = 13/4 miles.

=> (17/4 + 13/4) + 8/3

=> 30/4 + 8/3

=> Take the LCM of the denominators.

=> LCM = 12

=> 90/12 + 32/12

=> 122/12

SImplify 122/12

=> 61/6 or 10.1666666667

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6)  C

7) A

8) D

9) B

Step-by-step explanation:

when the sign is < or  > then the point is clear point(white)

when the sign is ≤ or ≥ then the point is solid ( black)

6) 4y+3≤y+6

4y-y≤6-3

3y≤3

y≤3/3

y≤1  (C)

                                                                                                   

7) -2y>2 ( wen sign is negative you flip the sign from> to <)

y<-2/2

y<-1  (A)

---------------------------------------------------------------------------------------

8) y/3<-1 ⇒ y<-3  the sign is < means it is clear and on -3 (D)

--------------------------------------------------------------------------------------

9) 3y≤2y+3

3y-2y≤3

y≤3 ( B)

answer:
ignore pls sorry

A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in each side of the base?

Answers

Answer:

4

Step-by-step explanation:

V = Lwh

the volume (given) = 24 ft^3

the height (given) = 18" = 1.5'

24 = L*w*1.5

divide both sides by 1.5

16 = Lw

You need to find the number of feet in each side of the base

since the box has a square base

L = W

AND, found above, L*w = 16

so 4*4= 16

Answer - 4

A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.​

Answers

Answer:

$ 800

Step-by-step explanation:

number of books sold = 50

money earned = $ 890.00

profit = $ 90.00

Then the price of 50 books will be (money earned) - (profit)

= 890 - 90

= 800

So, the cost of 50 books is $ 800

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Solve two-step equations. -5/2 a + 5 = 25

Answers

Answer:

a = -8

Step-by-step explanation:

-5/2 a + 5 = 25

Subtract 5 from each side

-5/2 a + 5-5 = 25-5

-5/2 a = 20

Multiply each side by -2/5

-2/5 *-5/2 a = 20*-2/5

a = -8

PLEASE HELP!!!! ASAPP!!!! I will name Brainliest.
A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?

Answers

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answers

Answer:

2 pi •10•210

Step-by-step explanation:

Khan academy


Evaluate the expression below for x =4 and y = 5.
x2 + 3(x + y)
When x = 4 and y = 5, x2 + 3(x + y)= |
(Type an integer or a decimal.)

Answers

Answer:

positive 35

Step-by-step explanation:

x2 + 3(x + y)        given

4(2) + 3(4+5)         problem

4(2) + 3(9)

8 + 27= 35

explain how the phrase oh heck another hour of algebra can help a student recall the trigonometric ratios​

Answers

Answer:

its a mnemonic

Oh  Heck  Another  Hour Of  Algebra

(O = opposite side, H = hypotenuse ) = sine

(A = adjacent side,  H = hypotenuse ) = cosine

(O = opposite side,  A = adjacent ) = tangent

4n-6 (n - 2) = -24 + 7n
O No Solutions
O All Real Numbers
O n = 4
O n = 2.9

Answers

N=4

4n-6 (n-2) = -24 + 7n

You first multiply the six with the equation in the parentheses making it:

4n-6n + 12= -24 + 7n

You then subtract 4n from -6n changing it to:

-2n + 12 = -24 + 7n after that you switch the 12 and 7n so that the equation can be

-2n -7n = -24 - 12

After that combine the numbers together:

-9n = -36

Then divide both sides by -9 making

n= 4

Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?

Answers

Answer:

Explained below.

Step-by-step explanation:

The question is:

Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?

(1)

Compute 1/4th of the math class room as follows:

[tex]=700\times\frac{1}{4}\\=175[/tex]

Thus, 1/4th of the math class room is 175 m².

(2)

Compute 3/4th of the math class room as follows:

[tex]=700\times\frac{3}{4}\\=525[/tex]

Thus, 3/4th of the math class room is 525 m².

(3)

Compute 3/5th of half an hour as follows:

[tex]=30\times \frac{3}[5}\\=18[/tex]

Thus, 3/5th of half an hour is 18 minutes.

(4)

A square meter of wall required 4/7 liter of paint.

Then 2/5 of a square meter will require,

[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]

Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.

(5)

1 glass of orange juice can be made using 2/5 of an orange.

Then 2 and half glass will require,

[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]

Thus, 1 orange will be required to make 2 and half glass of orange juice.

Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A and Y using a straightedge.

This is to check to make sure that A is in the right place, since it was drawn using the arcs.

Using a straightedge ensures that there is a line passes through A and Y.

Because a line was drawn through point L, a similar line should be drawn through the corresponding point on ∠AYZ.

This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Answers

Answer:

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

What is the perimeter of a square with side length (2x-3)?

Answers

Answer:

Perimeter = 8x - 12

Step-by-step explanation:

The perimeter of a square is:

p = 4(side length)

on this case:

p = 4(2x-3)

p = 4*2x + 4*-3

p = 8x - 12

Which of these expressions is equivalent to 3x(x-1)-5(x-1)? Select all that apply.
3x^2-8x+5
x-1(3x-5)
(3x-5)(x-1)
(x-1)(3x+5)

Answers

Answer:

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

#i'm from indonesia

hope it helps.

Answer:

[tex]\boxed{3x^2 -8x+5}[/tex]

[tex]\boxed{(3x-5)(x-1)}[/tex]

Step-by-step explanation:

[tex]3x(x-1)-5(x-1)[/tex]

Expand brackets.

[tex]3x(x)+3x(-1)-5(x)-5(-1)[/tex]

[tex]3x^2 -3x-5x+5[/tex]

Combine like terms.

[tex]3x^2 -8x+5[/tex]

[tex]3x(x-1)-5(x-1)[/tex]

Take x-1 as a common factor.

[tex](3x-5)(x-1)[/tex]

Simplify. Can you explain it also?
[tex] \frac{9 {c}^{3} {de}^{2} }{12 {c}^{2}d {e}^{3} }[/tex]

Answers

Answer:

The answer is

[tex] \frac{3c}{4e}[/tex]

Step-by-step explanation:

[tex] \frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} } [/tex]

To solve the fraction reduce the fraction with d

That's we have

[tex] \frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} } [/tex]

Next simplify the expression using the rules of indices to simplify the letters in the fraction

For c

Since they are dividing we subtract the exponents

We have

[tex] {c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c[/tex]

For e

[tex]e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e} [/tex]

Substituting them into the expression we have

[tex] \frac{9c}{12e} [/tex]

Reduce the fraction by 3

We have the final answer as

[tex] \frac{3c}{4e} [/tex]

Hope this helps you

How many times larger is the value of
86,000,000 than 8,600?

Answers

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.


In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread

Answers

Answer:

The correct option is;

C. Marginal frequency

Step-by-step explanation:

The objective of comparison of two distributions is to check the significant difference from each other

The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves

Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table

The marginal frequency is used to calculate the marginal relative frequency

The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.

Answer:

C. Marginal frequency

Step-by-step explanation:

Jess receives a $15000 salary for working as an engineer. If Jess has to spend $6000 of her salary on expenses each year, then what percent of Jess's money does she have to spend? Round your answer to the nearest whole number if necessary.

Answers

Answer:

Jess will have to spend 40% of her salary

Step-by-step explanation:

Jess salary = $15,000

Jess expenses = $6,000

what percent of Jess's money does she have to spend

Percentage of Jess expenses = Jess expenses / Total salary × 100

= 6,000 / 15,000 × 100

= 0.4 × 100

= 40%

Jess will have to spend 40% of her salary

A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?

Answers

Answer:

2 days

Step-by-step explanation:

Expected number of days until prisoner reaches freedom=E(x)=?

E(x)=x*p(x)

Where x is the number of days and p(x) is the probability associated with them.

X    1    2    3

P(x) 0.5 0.3 0.2

E(x)=1*0.5+2*0.3+3*0.2

E(x)=0.5+0.6+0.6

E(x)=1.7.

Thus, the expected number of days until prisoner reaches freedom are 2 days.

hey i suck at math can someone help me with this question

Answers

we can subtract the trapezium (white part) formed after from the trapezium (including white and grey) to get area of striped part

area of trapezium is [tex]\frac H2(a+b)[/tex] where $a$ and $b$ are parallel sides.

for bigger trapezium, $h=4$ parallel sides are $5$ and $5$

hence area is $\frac{4(5+5)}{2}=20$

similarily area of white trapezium, $\frac{4(3+3)}{2}=12$

and area of striped part is $20-12=8$

What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm

Answers

Answer
9.3
Explanation
I got it right

Answer:

28\3

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

The first Answer:

Step-by-step explanation:

The x-values are not the same on one line:

Image

The line connecting isn't perfect but see what I mean?

Other Questions
6.21(3.1) answer for number 6 11. The mass (in grams) of FeSO4.7H2O required for preparation of 125 mL of 0.90 Msolution is:(a) 16 g(b) 25 g(c) 13 g(d) 31 g(e) 43 g Q#1) What is a defining feature of limited governments? A. One political party typically rules over government systems. B. The government controls the education system of the country. C. People enjoy basic rights, such as freedom of speech and press. D. Government bodies ban people from accessing foreign media. Q#2) Read this excerpt from the Declaration of Independence. Then answer the question that follows. We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed. Based on the excerpt, why do you think the Founding Fathers supported the idea of a limited government? A. They believed that it was the governments duty to fulfill the peoples wishes. B. They wanted people to follow government laws and policies without conflicts. C. They felt that a limited government would reduce public revolutions and uprisings. D. They hoped to win foreign approval by following the limited government model. Q#3) Match the following concepts of limited governments to their descriptions. Everyone must follow the law, regardless of a persons power or position. ~ The government must follow the will of its people. ~ Every person is entitled to a fair and public trial. due process rule of law popular sovereignty Q#4) In what type of government system are citizens often denied religious freedom? A. representative democracy B. theocracy C. republic D. constitutional monarchy Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks? Which of the following sets of equations represents this problem? Rahman stock just paid a dividend of $3.00 per share. Future dividends are expected to grow at a constant rate of 6% per year. What is the value of the stock if the required return is 12% In a production bottleneck situation, the product with the highest contribution margin per unit should be given priority over a product that has the highest contribution margin per bottleneck hour.a. Trueb. False QuestionConsider this expression.4/2 - 6Type the correct answer in the box. Use numerals instead of words. For help, see this worked example e.When a =-5 and b = 3, the value of the expression isSubmit Read the passage from Sugar Changed the World. Sugar was the connection, the tie, between slavery and freedom. In order to create sugar, Europeans and colonists in the Americas destroyed Africans, turned them into objects. Just at that very same moment, Europeansat home and across the Atlanticdecided that they could no longer stand being objects themselves. They each needed to vote, to speak out, to challenge the rules of crowned kings and royal princes. How could that be? Why did people keep speaking of equality while profiting from slaves? In fact, the global hunger for slave-grown sugar led directly to the end of slavery. Following the strand of sugar and slavery leads directly into the tumult of the Age of Revolutions. For in North America, then England, France, Haiti, and once again North America, the Age of Sugar brought about the great, final clash between freedom and slavery. Which sentence best states the authors' claim in this passage? Economic demand for sugar led to political pressure to end enslavement. The growing demand for sugar made the lives of enslaved people even worse. Turning Africans into objects was important for the sugar industry to succeed. Monarchies became increasingly strong and popular during the Age of Sugar. "Not my grandmother is a dinosaur mind it" Which figure of speech applies in this sentence 2. Solvex2 - 6x = -5 by completing the square , Show all work for the steps below . ( a ) Forx ? - 6x + = -5+ , what value of c is used to complete the square ? ( b ) Substitute the value for c in Part 2 ( a ) . Then complete the square to rewrite the equation as the square of a binomial . ( c ) Solve for x select the correct answer from each drop-down menu. Complete each sentence. 1. he finally found his (recoil, gesture, niche, affliction) as a writer someone please expain how to do this, im really confused. Which continent sees the sun first, North America or South America? Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3. Calculate the standard deviation of the sample of selling prices. (please express your answer using 2 decimal places) The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of days and a standard deviation of days. (a) What is the minimum pregnancy length that can be in the top % of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom % of pregnancy lengths? (a) The minimum pregnancy length is 280 days. Two years ago, a customer purchased 1,000 shares of ABC stock at $45 per share. The stock has appreciated in value and is currently worth $60,000. The company announces that it is spinning off a subsidiary, DEF, to its shareholders. The value of the new company being spun off equals 5% of the old company. The customer will have:___________ evaluate 15.2% of a 726 + 12.8% of 673 I NEED THE ANSWER ASAPThe number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.31 days. At what rate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of a smoker per year Please help! Lorraine and Jake can produce any combination of peaches and nectarines described by the production possibilities curve above using the same amount of resources. Who has the absolute advantage in the production of each product? Explain. Who has the comparative advantage in the production of each product? Explain. Who will specialize in the production of each product? Explain using the concept of opportunity cost. In the diagram of the right triangle shown find the value of c.