whats the value of 13C11

Answers

Answer 1

Answer:

78

Step-by-step explanation:

[tex]nC_k = \frac{n!}{k!(n-k)!}[/tex]

[tex]13 C_{11} = \frac{13!}{11! \times (13-11)!}[/tex]

        [tex]= \frac{13!}{11! \times 2!}[/tex]

       [tex]= \frac{ 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 \times 12 \times 13}{(1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 )\times ( 1 \times 2)}[/tex]

        [tex]=\frac{12 \times 13}{2} \\\\= 6 \times 13\\\\=78[/tex]

       


Related Questions

Work out the equation of the line which passes through the point (-1,2)
and is parallel to the line y = x + 4.

Answers

Answer:

m = 1 (since the gradient of parallel lines is the same)

Then substitute point (-1;2)

C = 3

y = x+3

Which expression is equivalent to 3/56x^7y^5 , if x ≠0 and y≠0

Answers

Answer:

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{56x^7y^5}[/tex]

Required

Solve

Expand

[tex]\sqrt[3]{8*7*x^6*x*y^3*y^2}[/tex]

Rewrite as:

[tex]\sqrt[3]{8*x^6*y^3*7*x*y^2}[/tex]

Split

[tex]\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Apply law of indices

[tex]2^{(3/3)}*x^{(6/3)}*y^{(3/3)} *\sqrt[3]{7*x*y^2}[/tex]

[tex]2*x^2*y *\sqrt[3]{7*x*y^2}[/tex]

[tex]2x^2y *\sqrt[3]{7xy^2}[/tex]

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Use the given values to complete to each table.
PLEASE HELP.

Answers

Answer:

1. 10,12,14

2. 10,16,20

3. 3,23,61

Step-by-step explanation:

for example  2(3+r)

r would be 2 but it gave you that on the chart in the highlighted area

u replace it and it becomes 2(3+2)

distribute 2 and 3 and it becomes 6 then distribute 2 and 2 which becomes 4 then you add 6+4 which gives u 10 which is the first answer.

We need to find the numerator and denominator of the quotient.

Answers

Answer:

[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]

[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]

[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Translate and solve: 46 less than y is at least -184

Answers

Translate: y - 46 > -184

Possible answer: y > - 138

Solution:

y - 46 > -184

= y > - 184 + 46

= y > - 138

#CarryOnLearning

The Possible answer of the given statement could be as y > - 138.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given information;  46 less than y is at least -184

To Translate: y - 46 > -184

WE can solve it as;

y - 46 > -184

y > - 184 + 46

y > - 138

Therefore, The Possible answer of the given statement could be as y > - 138.

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Calculating area of rectangle

Your measurments Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)

Required:
Why might two students have different calculated areas when measuring the same rectangle?

Answers

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?

Answers

Answer:

$91 is the answer.

Step-by-step explanation:

R = 6%

P = $70

T = 5 year

now

I = PTR/100

=(70×5×6)100

= 2100/100

= $21

So,

I = A-P

21 = A-70

21+70 = A

so, A = $91

I don’t know the answer help! ?

Answers

Answer:

m∠8=120°

Step-by-step explanation:

Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.

it would also b 120 :)

sometimes you have to divide the diamter by 2 to get the radius.
true
false

Answers

it is true

tbh am not sure

The answer is true.

An eagle flies towards south luzon at 90 meters for 5 seconds . What is the speed and velocity of the eagle

Answers

Answer:

the speed in 18mph

Step-by-step explanation:

Why do a lot of kids not have data and only WiFi?

Answers

Answer:

maybe because it is the only thing they can afford?

Step-by-step explanation:

this has many solutions to it, but to me it is simply because wifi is stationary and companies don't need to keep upgrading their systems to help them get internet in remote areas, so it is easier to find a place called home. but other than the wifi being great band-width strength, i can't see a reason why people (kids specifically) can't use data while on the go because some data plans can make it even cheaper than long-term wifi plans and at the same time some can also have signal strength that is acute to having home-wifi. and even better yet, you can still have mobile data inside your home without any difference in signal strength. so i say other-wise we could one-day ditch the old way of getting internet

Part A
A bag contains 4 blue and 6 green marbles. Two marbles are selected at random from the bag. If the first marble is replaced before the second marble is drawn, what is P(blue second | green first)?
Part B
If the first marble is not replaced before the second marble is drawn, what is P(blue second | green first)?

Answers

Answer:

If the first marble is replaced before the second marble is drawn, the probability of P is 24%; while if the first marble is not replaced before the second marble is drawn, the probability of P is 26.66%.

Step-by-step explanation:

Since a bag contains 4 blue and 6 green marbles, and two marbles are selected at random from the bag, to determine, if the first marble is replaced before the second marble is drawn, what is P (blue second | green first) and , if the first marble is not replaced before the second marble is drawn, what is P (blue second | green first) the following calculations must be performed:

Blue = 4/10

Green = 6/10

A) 6/10 x 4/10 = 0.24

B) 6/10 x 4/9 = 0.2666

Therefore, if the first marble is replaced before the second marble is drawn, the probability of P is 24%; while if the first marble is not replaced before the second marble is drawn, the probability of P is 26.66%.

The inverse of the function f(x) = 1/2 × + 10 is shown h(×) = 2 × - ​

Answers

Answer:

The missing number is 20

Step-by-step explanation:

Given function: f(x) = 1/2x + 10

Rewrite: y = 1/2x + 10

Flip x and y: x = 1/2y + 10

x - 10 = 1/2y

2(x-10) = y

2x - 20 = y

y = 2x - 20

h(x) = 2x - 20

Question 22
Find the volume.

Answers

Answer:

D

Step-by-step explanation:

area times height dived by 3

note that the radius is 8

Answer:

D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³

Step-by-step explanation:

Formula = πr²* h/3

Volume = π * 64 * 8/3

Volume = π * 512/3 = 535.89 ≈ 535.9

Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?

Answers

The value I do know that is lesser for 7th grade then 8th is going to be 30

please help
with this !!!

Answers

i think it’s B but i’m not sure

The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder. Which expression represents the volume of this cylinder?
h= 2x+7 r=x-3

Answers

Answer:

The answer is V= ([tex]\pi[/tex]) ([tex]x-3^{2}[/tex]) (2x+7).

Step-by-step explanation:

To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V = [tex]\pi[/tex] [tex]r^{2}[/tex] h.  

When purchasing a new Cell Phone Plan you are given two pay options (Both included
unlimited text):
With Plan A, you can pay 23 cents per minute. This can be represented by the equation
C= 0.23m
With Plan B, you can pay 19 cents per minute plus a flat fee of $9.00. This can be
represented by the equation c = 0.19m + 9.00
Complete the following steps to determine how many minutes you would need to use for
Plan B to be less expensive than Plan A

Answers

Answer:

225 and greater

Step-by-step explanation:

900/4 or 900 cents/ 4 cents equals 225 on calculator

We use 225 minutes for Plan B to be less expensive than plan A.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

For plan A,

We can pay 23 cents per minute.

This can be represented by the equation,

C= 0.23m

For plan B,

We can pay 19 cents per minute plus a flat fee of $9.00.

This can be represented by the equation,

C = 0.19m + 9.00

Now, To find the minutes for plan B is less expensive than plan B

We can write an inequality that represent,

Plan A < Plan B

0.23m < 0.19m + 9

0.23m - 0.19m < 9

0.04m < 9

Divide 0.04 both side,

m < 225

Thus, We use 225 minutes for Plan B to be less expensive than plan A.

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Megan is reading a book about the tallest tree in the world, the redwood tree. One of the trees she reads about grew 300 feet tall over 150 years. If the tree grew at a steady rate, how many inches did it grow each year?

Answers

Answer:

24 inches per year

Step-by-step explanation:

Given that the growth of the red wood tree is about :

300 feet tall in over 150 years ;

Given a steady growth ;

The growth per year is given by :

Height / number of years

300 fts / 150 years

= 2 feets per year

1 Feet = 12 inches

2 feets per year = 24 inches per year

Please help meeeeeeeeee I’ll award brainliest

Answers

Answer:

should be also 63 and 70 move them up

Step-by-step explanation:

interior angles are angles that are the same

the measure of angle TWV is 63 degrees cause angle TVW is 70 degrees cause angle VSU is 70 degrees and they are alternate interior angles so then you would do 180-(70+47) which is 180-117 and that equals 63.

ANSWER: 63

I need help with #5. Please help. I have to show all work so please explain

Answers

Answer:

d = 13

Step-by-step explanation:

Use distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(5-0)^2+(5-(-7))^2}\\d=\sqrt{5^2+12^2}\\d=\sqrt{25+144}\\d=\sqrt{169}\\d=13[/tex]

Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

Answers

Let n represent the interger l, the three consective intergers are represented by

[tex]n[/tex]

[tex]n + 2[/tex]

[tex]n + 4[/tex]

The second one represent

[tex](n + 2) {}^{2} + 76 =( n + 4) {}^{2} [/tex]

Simplify both sides

[tex]n {}^{2} + 4n + 4 + 76 = {n}^{2} + 8n + 16[/tex]

[tex] {n}^{2} + 4n + 4 = {n}^{2} + 8n - 60[/tex]

[tex]4n + 4 = 8n - 60[/tex]

[tex]4n + 64= 8n[/tex]

[tex]64= 4n[/tex]

[tex]n = 16[/tex]

The intergers are 16,18,20

If (3y-9)^2+7=43, then what is(are the values of y?​

Answers

Answer:

y = 1 and y = 5

Step-by-step explanation:

[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]

The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5

How to solve for y?

The equation is given as:

(3y-9)^2+7 = 43

Subtract 7 from both sides of the equation

(3y - 9)^2 = 36

Take the square root of both sides

3y - 9 = ±6

Add 9 to both sides

3y = 9 ± 6

Divide through by 3

y = 3 ± 2

Expand

y = (3 - 2 or 3 + 2)

Evaluate

y = 1 or 5

Hence, the values of y are 1 and 5

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Conceptual Set 1. A different researcher takes a sample of recently widowed spouses to measure how many times they leave the house. She wants to see if her sample is different from the population mean, which she knows to be 23.00. Which type of t-test should she use

Answers

Answer:

One sample t-test

Explanation:

The one sample t-test , also called single sample t test is a type of t test that measures the difference between a population mean and a hypothesized value,in this case the sample mean of widowed spouses that leave the house. The sample mean/hypothesized value is called the test value while the population mean is called the test variable. The one sample t test can only compare one sample mean to another given mean and not the mean of two samples or more.

According to the Venn diagram below, what is P(A, BAC)?

Answers

1/10

Step-by-step explanation:

A∩B∩C means what these 3 numerical sets have in common, and it is the 2 in the center of the circle. The total elements in the pic are 20, and there are 2 elements inside the P, so

2/20 = 1/10

In​ 2009, a diabetic express company charged ​$38.85 for a vial of type A insulin and ​$30.34 for a vial of type B insulin. If a total of ​$1695.71 was collected for 50 vials of​ insulin, how many vials of each type were​ sold?
The number of vials of type A insulin sold were ___ and the number of vials of type B insulin sold were ____

Answers

Answer:

The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Step-by-step explanation:

Let a = number of type A vials.

Let b = number of type B vials.

38.85a + 30.34b = 1695.71

a + b = 50

            38.85a + 30.34b = 1695.71

(+)        -38.85a - 38.85b = -1942.50

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

                               -8.51b = -246.79

b = 29

a + b = 50

a + 29 = 50

a = 21

Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

1. What term means "per hundred"?
A base B. percent
C. percentage
D.rate
2. Which of the following is correct?
A. 33% = 0.33 B. 33% = 03.3
C.33% = 33
D. 33% = 3.03
3. 45% of the grade 5 pupils are girls. Express 45% as decimals.
A. 0.045 B. 0.45
C. 4.5
D. 45.0
4. In the statement 35% of 600 = 210. Which is the percentage?
A. 35%
B. 600
C.210
D. none
5. Which does not belong?
A. 21%
B. 21/100 C. 21:100 D. 21
6. Which element of percent represent part of the whole?
A. base B. percent C. percentage D.rate
7. In a survey on the choice of pizza, 900 out of 1500 people preferred brand A to B.
What percent preferred A? What is the missing element?
A. base B. percent
C. percentage D. rate
8. What is the missing element in the problem, "A big theater has 1400 seats. During a
concert, it is 95% full. How many seats were taken?"
A. base B. percent
C. percentage
D. rate
9. Which element of percent represents the whole?
A. base B. percent
C. percentage D.rate
10. How many is 75% of a class?
A. 1/3 B. 1/2 C.3/4 D. 5/6​

Answers

Answer:

1. B

2. B

3. B

4. A

5. D

6. A

7. C

8. D

9. A

10. C

Question Help
In a study of cell phone usage and brain hemisphen dominance, an Internet survey was e-mailed to 6957 subjects randomly selected from an online group involved with ears. There were 1319 surveys returned Use a 0.01
significance level to test the claim that the return rate is less than 20% Use the P-value method and use the normal distnbution as an approximation to the binomial distrbution
Identify the null hypothesis and alternative hypothesis

Answers

Answer:

The null hypothesis is [tex]H_0: p \geq 0.2[/tex]

The alternative hypothesis is [tex]H_1: p < 0.2[/tex]

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

Step-by-step explanation:

Test the claim that the return rate is less than 20%.

At the null hypothesis, we test if the return rate is of at least 20%, that is:

[tex]H_0: p \geq 0.2[/tex]

At the alternative hypothesis, we test if the return rate is less than 20%, that is:

[tex]H_1: p < 0.2[/tex]

Normal distribution as an approximation to the binomial distribution to find the Z-score.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

0.2 is tested at the null hypothesis. Sample of 6957.

This means that [tex]p = 0.2, n = 6957[/tex]. So

[tex]\mu = E(X) = np = 6957*0.2 = 1391.4[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6957*0.2*0.8} = 33.36[/tex]

1319 surveys returned

This means that, due to continuity correction, [tex]X = 1319 + 0.5 = 1319.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1319.5 - 1391.4}{33.36}[/tex]

[tex]Z = -2.16[/tex]

P-value of the test:

The p-value of the test is the probability of 1319 or less people returning the survey, which is the p-value of Z = -2.16.

Looking at the z-table, Z = -2.16 has a p-value of 0.0154.

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

What is h(−8) for h(x)=1/4x^2+7x?

Answers

Answer:

h(-8) = -40

Step-by-step explanation:

Find h(-8) by plugging in -8 as x:

h(x) = 1/4x² + 7x

h(-8) = 1/4(-8)² + 7(-8)

Simplify:

h(-8) = 1/4(64) - 56

h(-8) = 16 - 56

h(-8) = -40

So, the answer is h(-8) = -40

The value of h(-8) is -40.

What is quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given:

h(x)=1/4x²+7x

h(-8)= 1/4* 64+7*(-8)

      = 16-56

      = -40

Hence, h(-8)=-40.

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Exercise 1.3
1. There are 10,785 English books, 8,973 Hindi books and 4,766 books on other languages in a library.
books are there in all in the library?
[tex]10.785 \times 8.973 \times 4.766[/tex]

Answers

Answer:

There are 24,524 books total.

Step-by-step explanation:

If you are asking for the total then you would just add 10785 and 8973 and 4766.

[tex]10785 + 8973+4766= 24524[/tex]

Other Questions
Your company has a policy to use long-term debt to finance inventory and receivables. A. This is a restrictive short-term financing policyB. This policy has higher carrying cost C. This policy has higher shortage cost D. This policy leads to higher default risk calculate the pressure in atm of .68 mol of H at 298K and occupying 4.5 L [tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)A. A vertical compression by a factor of 5/4B. A horizontal compression by a factor of 5/4C. A horizontal stretch by a factor of 5/4D. A vertical stretch by a factor of 5/4 A number cube is rolled once. What is the probability of rolling a three help help please help help 1,4,1,8,1,16,1 whats next in the sequence? Prepositional phrase of I drew in my notebook Question 3Simplify4x 2x 2. A-Action What is happening in the cartoon? You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier? plz plz guys solve this i will give you brainliest with procedure If a firm is privately owned, and its stock is not traded in public markets, then we cannot measure its beta for use in the CAPM model, we cannot observe its stock price for use in the dividend growth model, and we don't know what the risk premium is for use in the bond-yield-plus-risk-premium method. All this makes it especially difficult to estimate the cost of equity for a private company. True False determine the equation of the circle graphed below .( help please ) D) Sum of the two adjacent angles is 140. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks) Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get? A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is1. -92. -13. 84. 15 help plsss I have no idea Study the position-time graph for a bicycle. Which statement is supported by the graph? Position vs Time O The bicycle has speed but not velocity. O The bicycle is moving at a constant velocity. O The bicycle has a displacement of 3 m. O The bicycle is not in motion. 3 Position (m) 0 1 2 3 4 5 Time (s) Next Submit Save and Exit Mark this and return tViewers/AssessmentViewer/Activit. 0 M M 5xx can u give me the anwser Com relao ao Crowdfunding (financiamento coletivo), leia as assertivas abaixo e depois faa o que se pede.I - O Crowdfunding ou financiamento coletivo permite o levantamento de recursos. Ele conhecido pelo seu alto potencial de risco, em virtude das altas taxas de juros.II - O fracasso em campanhas desse tipo no faz com que voc perca dinheiro, como acontece quando o empreendedor faz um emprstimo bancrio.III - Caso o empreendedor no alcance a meta, as doaes voltam para as pessoas e o empreendedor fica desobrigado a pagar as recompensas.IV - A grande vantagem deste desta modalidade de financiamento que o empreendedor no precisa dar nada em troca para quem financiou a sua campanha.Agora, marque a alternativa que contenha apenas assertivas CORRETAS: