Need help ASAP! Will give brainliest if you tell me how to do this!

Need Help ASAP! Will Give Brainliest If You Tell Me How To Do This!

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The syntax is binomcdf(trials, probability, value). There are 100 trials, and the probability is 0.5. binomcdf will return the probability that there is at most n successes. So, in this case we want 45 or less successes, so n is 45. So, the answer is binomcdf(100, 0.5, 45).

Hope this makes sense! Please give brainliest!


Related Questions

Use Euler's Formula to find the missing number. Vertices: 11 Edges: 34 Faces: _______

Answers

Answer:

I think the correct answer is 45.

Step-by-step explanation:

Another math problem. Can you solve it? I can't... For a good answer I'll make it 'The Best' I hope you can help me... Thanks

Answers

Answer:

[tex]\boxed{\sf \ \ \ 10^2+11^2+12^2=13^2+14^2 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let's note a a positive integer

5 consecutive integers are

a

a+1

a+2

a+3

a+4

so we need to find a so that

[tex]a^2+(a+1)^2+(a+2)^2=(a+3)^2+(a+4)^2\\<=>\\a^2+a^2+2a+1+a^2+4a+4=a^2+6a+9+a^2+8a+16\\<=>\\3a^2+6a+5=2a^2+14a+25\\<=>\\a^2-8a-20=0\\<=>\\(a+2)(a-10)=0\\<=>\\a = -2 \ or \ a = 10\\[/tex]

as we are looking for positive integer the solution is a = 10

do not hesitate if you have any question

What does 1/6 of 1272 equal?

Answers

Answer:

212

Step-by-step explanation:

Answer:

212

Step-by-step explanation:

you have to first divide 1272 by 6 or you can find a number that you can multiply it by so what times 6 equals  1272 so it is guess and check meathodso 200x6 = 1200, and 12x6= 721200+72=1272 and 200+12=212

Barry spent 1/5 of his monthly salary for rent and 1/7 of his monthly salary for his school loans. If $851 was left, what was his monthly salary?

Answers

Answer:

1295$

Step-by-step explanation:

Let's denote the monthly salary of Barry A.

Then we have:

A - (1/5)A - (1/7)A = 851

or

(35A - 7A - 5A)/35 = 851

or

23A = 851 x 35

or

23A = 19785

or

A = 1295$

Find the perimeter and area of the figure. Round to the nearest tenth if necessary. 33.7 mm; 108 mm2 33.7 mm; 54 mm2 30.7 mm; 50.2 mm2 33.7 mm; 53.2 mm2

Answers

Answer:

Perimeter: 33.7 mm

Area: 54 mm

Step-by-step explanation:

If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = [tex]\frac{1}{2}[/tex] x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.

how to simplify this expression ?

Answers

Answer:

[tex]\large \boxed{\sf \ \ \dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{2x+1}{x^2(x+1)} \ \ }[/tex]

Step-by-step explanation:

Hello,

This is the same method as computing for instance:

[tex]\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{3+2}{2*3}=\dfrac{5}{6}[/tex]

We need to find the same denominator.

Let's do it !

For any x real different from 0, we can write:

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

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

If jimmy has 15 apples and give 7 to gohn how many does jimmy have?

Answers

Answer:

Hey there!

Jimmy has 15-7, or 8 apples left.

Hope this helps :)

Express the equation in the slope y-intercept form: y = mx + b. 2x−3y+1 = 0

Answers

Answer:

y = 2/3x+1/3

Step-by-step explanation:

2x−3y+1 = 0

Solve for y

Add 3y to each side

2x−3y+1 +3y= 0+3y

2x +1 = 3y

Divide by 3

2/3 x + 1/3 =3y/3

2/3x +1/3 = y

The slope is 2/3 and the y intercept is 1/3

y = 2/3x+1/3

At the bookstore near Martha's home, hardcover books cost 21 dollars. The cost of a paperback book is only 4/7 of the cost of a hardcover book. How many dollars will Martha have to pay for one paperback book?

Answers

Answer:

The cost of the paper book= $12

Step-by-step explanation:

Hardcover books costs $21

But paper book cost only a fraction of the hardcover book.

The paper book cost 4/7 of the hardcover book.

The cost of paper book= 4/7* paper book

The cost of paper book = 4/7*$21

The cost of the paper book= 4*3

The cost of the paper book= $12

When the input is 4, the output of f(x) = x + 21 is

Answers

Answer:

25

Step-by-step explanation:

When the input is 4, the output of f(x) = x + 21 is f(4).

Substitute x = 4 to f(x):

f(4) = 4 + 21 = 25

Answer:

25

Step-by-step explanation:

We can find the output by plugging in 4 as x into the function:

f(x) = x + 21

f(4) = 4 + 21

f(4) = 25

In triangle ABC a=34 b=18 and c=17 Find m?A

Answers

Answer:

  152.53°

Step-by-step explanation:

The Law of Cosines is useful for finding an angle when sides are given.

  a^2 = b^2 +c^2 -2bc·cos(A)

  A = arccos((b^2 +c^2 -a^2)/(2bc))

  A = arccos((18^2 +17^2 -34^2)/(2(18)(17))) = arccos(-543/612)

  A ≈ 152.53°

Use cousine law.
34^2 = 18^2 + 17^2 -2(18)(17) cosA
A = 153°
Therefore, angle A is 153°

A que hora después de las 3 las agujas de un reloj determinan un ángulo que mide 54 por primera vez

Answers

Answer:

3:06

Step-by-step explanation:

primero debemos calcular a cuántos minutos equivale un ángulo de 54°. Para hacer esto utilizamos una regla de 3 simple donde 60 minutos equivale a 360° grados, entonces:

60 minutos ----- 360°

x minutos -------- 54°

Resolviendo para x, tenemos:

[tex]x=\frac{54*60}{360}=9[/tex]

Entonces si las manecillas están a 9 minutos de diferencia, el ángulo será 54°. Si la hora es después de las 3, significa que la manecilla de la hora estará en el minuto 15 y la otra debe estar 9 minutos antes, es decir en el minuto 6.

Por lo tanto, la hora después de las 3 en la cual se forma un ángulo de 54° por primera vez es a las 3:06

That guy this question is evil help

Answers

Answer:

450 mins/night

Step-by-step explanation:

The average of a data set is the sum of all of the data divided by the number of data elements in the set. In this case, that would be:

(8 + 6.5 + 7 + 8.5) / 4

= 30 / 4

= 7.5 hours

7.5 hours is 7.5 * 60 = 450 mins/night

Answer:

450 mins per night

Step-by-step explanation:

average = [tex]\frac{sum \: of \: terms}{number \: of \: terms}[/tex]

average = (8 + 6.5 + 7 + 8.5)/4

average = 30/4

average = 7.5

The average is 7.5 hrs.

Convert hrs to mins.

7.5 × 60 = 450

A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.

Answers

Answer:

Please refer to the graph in the attached area.

Step-by-step explanation:

Given:

Total money available with the customer is $10.

Cost of each hotdog is $2.

Cost of each drink is is $2.50.

To find:

The graph of inequality.

Solution:

Let number of hotdogs bought = [tex]x[/tex]

Total cost of hotdogs = [tex]2x[/tex]

Let number of drinks bought = [tex]y[/tex]

Total cost of drinks = [tex]2.5y[/tex]

Total cost = [tex]2x+2.5y[/tex]

And total money available is $10.

So, the total cost calculated above must be lesser than or equal to $10.

Hence, the inequality is:

[tex]2x+2.5y<10[/tex]

Also there will be two conditions on variables [tex]x[/tex] and [tex]y[/tex]:

[tex]x\ge0\\y\ge0[/tex]

To graph this, let us find the points on the equivalent equation:

[tex]2x+2.5y = 10[/tex]

Finding two points on the equation.

First put x = 0 [tex]\Rightarrow[/tex] y = 4    

Then put y = 0, [tex]\Rightarrow[/tex] x = 5

So, two points are (0, 4) and (5, 0).

Now, plotting the line.

Having point (1,2) in the inequality:

2 + 5 < 10 (True) hence, the graph of inequality will contain the point (1,2)

Please refer to the graph of inequality in the attached graph.

A normal population has a mean of 61 and a standard deviation of 13. You select a random sample of 16. Compute the probability that the sample mean is: (

Answers

This question is incomplete

Complete Question

A normal population has a mean of 61 and a standard deviation of 13. You select a random sample of 16. Compute the probability that the sample mean is: (Round z values to 2 decimal places and final answers to 4 decimal places.)

(a) Greater than 64

(b) Less than 57

Answer:

(a) Greater than 64 = 0.1788

(b) Less than 57 = 0.1094

Step-by-step explanation:

To solve the above questions we would be using the z score formula

The formula for calculating a z-score :

z = (x - μ)/σ,

where x is the raw score

μ is the population mean = 61

σ is the population standard deviation = 13

(a) Greater than 64

z = (x - μ)/σ,

where x is 64

μ is the 61

σ is the 13

In the above question, we are given the number of samples = 16

Sample standard deviation = popular standard deviation/ √16

= 13/√16

z = 64 - 61 ÷ 13/√16

z = 3/3.25

z = 0.92308

Approximately, z values to 2 decimal places ≈ 0.92

Using the z score table of normal distribution to find the Probability (P) value of z score of 0.92

P(z = 0.92) = 0.82121

P(x>64) = 1 - P(z = 0.92)

= 1 - 0.82121

= 0.17879

Approximately , Probability value to 4 decimal places = 0.1788

(b) Less than 57

z = (x - μ)/σ,

where x is 57

μ is the 61

σ is the 13

In the above question, we are given the number of samples = 16

Sample standard deviation = popular standard deviation/ √16

= 13/√16

z = 57 - 61 ÷ 13/√16

z = -4/3.25

z = -1.23077

Approximately, z values to 2 decimal places ≈ -1.23

Using the z score table of normal distribution to find the Probability (P) value of z score of -1.23

P(z = -1.23) = P(x<Z) = 0.10935

Approximately , Probability value to 4 decimal places = 0.1094

w=pv for p, how do you get the answer?​

Answers

Answer:

you need to have values for w and v

but u basically have to do

MOVE V TO THE OTHER SIDE

SO

W/V=P

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

Select all angle measures for which cos0= 1/2

Answers

Answer:

cos -60° = [tex]\frac{1}{2}[/tex] ,

cos 660° =  [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

hope it helps

Answer:

-60 and 660

Step-by-step explanation:

Edge 2020

Plz help answer a - d 1. Miguel is playing a game in which a box contains four chips with numbers written on them two of the chips have the number one one chip has the number three and the other chip has the number 5 Miguel must choose to chips if both chips have the same number he wants to dollars if the two chipsy chooses have different numbers he loses $1 (-$1) Look at pictures for the questions

Answers

Answer:

Step-by-step explanation:

Hello!

Miguel has four chips, two have the number "1", one has the number "3" and the other has the number "5"

If the experiment is "choosing two chips and looking at their numbers" there are the following possible outcomes:

S= {(1,1)(1,3)(1,5)(3,1)(5,1)(3,5)(5,3)}

The sample space for the experiment has 7 possible combinations.

a)

Be X: the amount of money Miguel will receive or owe.

If two chips with the same number are chosen he will receive $2

If the chips have different number he will owe $1

Looking at the possible outcomes listed above, out of the 7, in only one he will select the same number (1,1)

So the probability of him receiving $2 will be 1/7

Now out of the 7 possible outcomes, 6 will make Miguel owe $1, so you can calculate its probability as: 6/7

  xi  | $2 | -$1

P(xi) | 1/7 | 6/7

b)

To calculate the expected value or mean you have to use the following formula:

[tex]\frac{}{X}[/tex]= ∑[xi*P(xi)]= (2*1/7)(-1*6/7)= -4/7= $-0.57

c)

The expected value is $-0.57, meaning that Miguel can expect to owe $0.57 at the end of the game.

d)

To make the game fair you have to increase the probability of obtaining two chips with the same number. Any probability close to 50% will make the game easier. For example if you change the experiment so that for earning $2 the probability is 4/7 and for owing $1 the probability is 3/7, the expected earnings will be:

(2*4/7)+(-1*3/7)= $0.71

I hope this helps!

The number that, when increased by 30% equals 78

Answers

Answer:

60

Step-by-step explanation:

x + 0.30x = 78

1.30x = 78

x = 60

Answer:

The answer is 60.

Step-by-step explanation:

here, let another number be x.

according to the question the number when increased by 30% will be 78. so,

x+ 30% of x =78

now, x+ 30/100×x =78

or, x+0.3x=78

or, 1.3x=78

Therefore the another number is 60.

Hope it helps...

Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers to three decimal places.)

a. Confidence level = 95%, df = 10
b. Confidence level = 95%, df = 15
c. Confidence level = 99%, df = 15
d. Confidence level = 99%, n = 5
e. Confidence level = 98%, df = 23
f. Confidence level = 99%, n = 32

Answers

Answer:

A. 1.812

B. 1.753

C. 2.602

D. 3.747

E. 2.069

F. 2.453

Step-by-step explanation:

A. 95% confidence level, the level of significance = 5% or 0.05

Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 10 degrees of freedom = 1.182

B. 95% confidence interval = 0.05 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 15 degrees of freedom = 1.753

C. 99% confidence interval = 0.01 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 15 degrees of freedom = 2.602

D. 99% confidence interval = 0.01 level of significance; DF (n - 1) = 5- 1 = 4

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 4 degrees of freedom = 3.747

E. 98% confidence interval = 0.02 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.02 significance level with 23 degrees of freedom = 2.069

F. 99% confidence interval = 0.01 level of significance; df (n - 1) = 32 - 1 = 31

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 31 degrees of freedom = 2.453

2 questions
1) how to make 1, 2, 3, 4, 5 = 1
2) how to make 1, 2, 3, 4, 5 = 3

Answers

Answer:

5+2+1 - 4 -3 = 1

5+4 - 3-2-1 =

Step-by-step explanation:

we have to ad and subtract number in such a way that result is 1.

1, 2, 3, 4, 5

5+2+1 - 4 -3 = 1

8-7 = 1

___________________________________________

In this problem we have use mathematical signs to get 3.

we add 5 and 4 which gives 9

and subtract 3,2 and 1 from it.

5+4 - 3-2-1 = 9 - 6 = 3

A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test:
H0:p=0.65
Ha:p<0.65
In this example, the p-value was determined to be 0.277. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Select the correct answer below:
A. There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%.
B. There is NOT sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%.
C. There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 35%.
D. There is NOT sufficient evidence to conclude that the pronortion of people wearing seat belts is less than 35%

Answers

Answer:

Option A - There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%

Step-by-step explanation:

The police officers claim is that the proportion of people wearing seat belts is less than 65%.

Now, we are told that the p - value is 0.277.

In hypothesis, for a significance value of 0.05, if the P value is less than 0.05, we reject the null hypothesis and if P value is greater than or equal to 0.05, we fail to reject the null hypothesis.

Now, since the significance level is 5% = 0.05,we can see that the P-value is greater than the significance value of 0.05. Thus, we fail to reject the police claim that the proportion of people wearing seat belts is less than 65%.

So the correct option is A.

In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do 2^{7}.

That is 128

Answer:

16384

Step-by-step explanation:

Its correct :)

G(x) = 5x + 3
Find g(b2)

Answers

Answer:

g(2) =10x+6

Step-by-step explanation:

g(x) =5x+3

g(2)=5x+3

g(2)=10x+6

have a great day

2) A basketball player scores 70% of his shots on average. What is the probability that he scores at least 18 successful shots tonight if he gets 20 shots?

Answers

Answer:

3.54%

Step-by-step explanation:

This question represents a binomial distribution. A binomial distribution is given by:

[tex]P(x)=\frac{n!}{(n-x)!x!} p^xq^{n-x}[/tex]

Where n is the total number of trials, p is the probability of success, q is the probability of failure and x is the number of success.

Given that:

A basketball player scores 70% of his shots on average, therefore p = 70% = 0.7. Also q = 1 - p = 1 - 0.7 = 0.3.

The total number of trials (n) = 20 shots

The probability that he scores at least 18 successful shots tonight if he gets 20 shots = P(x = 18) + P(x = 19) + P(x = 20)

P(x = 18) = [tex]\frac{20!}{(20-18)!18!}*0.7^{18}*0.3^{20-18}=0.0278[/tex]

P(x = 19) = [tex]\frac{20!}{(20-19)!19!}*0.7^{19}*0.3^{20-19}=0.0068[/tex]

P(x = 20) = [tex]\frac{20!}{(20-20)!20!}*0.7^{20}*0.3^{20-20}=0.0008[/tex]

The probability that he scores at least 18 successful shots tonight if he gets 20 shots = P(x = 18) + P(x = 19) + P(x = 20) = 0.0278 + 0.0068 + 0.0008 = 0.0354 = 3.54%

5 1/2 to improper fraction

Answers

Answer:

[tex]5 \frac{1}{2} = \frac{(5 \times 2) + 1}{2} = \frac{11}{2} [/tex]

So the answer is 11/2 .

Answer:

The answer is 11/2

Step-by-step explanation:

Simply multiply 2 and 5 to get 10 and then add 1 to get 11 so 11/2

How do I find the 5th term of a sequence defined by the given rule? f(n)= 6.5n + 4.5 Can someone also explain the rule(s)? I'm having trouble understanding all of this

Answers

Answer:

30.5

Step-by-step explanation:

This sequence is defined by f(n)=6.5 + 4.5

The term inside the parentheses (n) is the value you should input to get an output.

n varies from 0 to infinity

Now to find the fifth term put in mind that 0 is the first term.

This means that f(5) isn't the fifth term. In fact, it's the sixth term. So f(4) is the fifth term.

To find f(4) replace n by 4.

f(4) = 6.5 *4 +4.5 = 26+4.5=30.5

Calculate the side lengths a and b to two decimal places

A. a= 10.92 b=14.52 <--- My answer

B. a= 11 b= 15

C. a=4.18 b=3.15

D. a= 11.40 b=13.38


Answers

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

[tex]\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}[/tex]

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

[tex]\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}[/tex]

[tex]\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374[/tex]

[tex]\frac{\text{Sin110}}{b}=0.060374[/tex]

b = [tex]\frac{\text{Sin110}}{0.060374}[/tex]

b = 15.56

b ≈ 15.56

[tex]\frac{\text{Sin45}}{a}=0.060374[/tex]

a = [tex]\frac{\text{Sin45}}{0.060374}[/tex]

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

The length of needles produced by a machine has standard deviation of 0.04 inches. Assuming that the distribution is normal, how large a sample is needed to determine with a precision of ±0.005 inches the mean length of the produced needles to 98% confidence?

Answers

Answer:

The sample size is  [tex]n = 87[/tex]

Step-by-step explanation:

From the question we are told that

      The standard deviation is  [tex]\sigma = 0.04 \ inches[/tex]

       The  precision is [tex]d = \pm 0.005 \ inches[/tex]

        The confidence level is [tex]C =[/tex]98%

Generally the sample size is mathematically represented as  

        [tex]n = \frac{ Z_{\frac{\alpha }{2} } ^2* \alpha^2 }{d^2}[/tex]

Where  [tex]\alpha[/tex]  is the level of significance which is mathematically evaluated as

        [tex]\alpha = 100 - 98[/tex]

        [tex]\alpha = 2[/tex]%

        [tex]\alpha = 0.02[/tex]

and  [tex]Z_{\frac{\alpha }{2} }[/tex] is the critical value of [tex]\alpha[/tex] which is obtained from the normal distribution table as  2.326

  substituting values

         [tex]n = \frac{2.326 ^2* 0.02^2 }{0.005^2}[/tex]

        [tex]n = 87[/tex]

   

Pretty much Self explanatory :) I don't understand this...

Answers

Answer:

Step-by-step explanation:

you have to keep going cause if you count the fives there's a 25 but right next to the 25 there's 24 all you have to do is watch what your doing just watch your steps

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At what angle does the sunlight hit the ground? Writeonly the number rounded to the nearest degree. convert this number to scientific notation 1260000 Avez-vous dj travaill dans un restaurant, Luc ? Oui, j'ai jamais travaill dans un restaurant. Non, je n'ai jamais travaill dans un restaurant. Non, je n'ai dj travaill dans un restaurant. Non, je travaille dans un restaurant. Online learning poses some challenges to students in developing countries like Ghana. With your own experience, discuss four challenges you have faced since the start of UENR's online learning programme. Your answer should be at least 500-words long. CAN SOMEONE PLEASE HELP IT'S URGENT! Your professor is conducting a chemical isotope analysis of diet for her latest paleoanthropology project. Which of the following is true regarding isotopic analysis of diet? a. Carbon analysis of bones and teeth will give insight to the types of plant material the hominin consumed. b. Strontium analysis of bones and teeth will provide information regarding whether the hominin was a meat-eater. c. Carbon analysis of bones and teeth will enable your professor to determine whether the meat consumed was from land or water sources. d. Nitrogen analysis of bones and teeth will allow your professor to determine whether the hominin relied on C3 or C4 plants. A copy machine makes 153 copies in 4 minutes and 15 seconds how many copies does it make per minute Which store has the lowest delivery charge? I NEED THE ANSWER ASAPPP!!! Which of these statements best summarizes the purpose of affirmative action? To make the college admissions process equally difficult for all students. To achieve racial equality by giving preferential treatment to minorities. To end segregation by forcing schools to allow minority applicants. In 1961, East Germany:_______ a. erected a wall between East and West Berlin to stop the mass exodus of East Germans to West Berlin. b. stop the movement of large numbers of West Germans to East Berlin. c. halt the flow of overpriced goods from West Berlin to East Berlin. d. protect East Berliners from U.S. troops stationed in the western part of the city. For the given term, find the binomial raised to the power, whose expansion it came from: 15(5)^2 (-1/2 x) ^4A. (5+1/2 x)^6B. (Y- 1/2 x) ^6C. (5- 1/2 x) ^6D. (-5 + (- 1/2 x))^6 Read the following passages from Nathaniel Hawthornes The Scarlett Letter. Though this work is set in a puritan society, its very much a Romantic-era work. In the following passages, you should see elements of both Romanticism and Gothicism. As you read the passages, annotate them for elements of both Romanticism and Gothicism. PASSAGE 1 The great black foreststern as it showed itself to those who brought the guilt and troubles of the world into its bosombecame the playmate of the lonely infant, as well as it knew how. Sombre as it was, it put on the kindest of its moods to welcome her. It offered her the partridge-berries, the growth of the preceding autumn, but ripening only in the spring, and now red as drops of blood upon the withered leaves. These Pearl gathered, and was pleased with their wild flavor. The small denizens of the wilderness hardly took pains to move out of her path. A partridge, indeed, with a brood of ten behind her, ran forward threateningly, but soon repented of her fierceness, and clucked to her young ones not to be afraid. A pigeon, alone on a low branch, allowed Pearl to come beneath, and uttered a sound as much of greeting as alarm. A squirrel, from the lofty depths of his domestic tree, chattered either in anger or merriment,for a squirrel is such a choleric and humorous little personage that it is hard to distinguish between his moods,so he chattered at the child, and flung down a nut upon her head. It was a last years nut, and already gnawed by his sharp tooth. A fox, startled from his sleep by her light footstep on the leaves, looked inquisitively at Pearl, as doubting whether it were better to steal off, or renew his nap on the same spot. A wolf, it is said,but here the tale has surely lapsed into the improbable,came up, and smelt of Pearls robe, and offered his savage head to be patted by her hand. The truth seems to be, however, that the mother-forest, and these wild things which it nourished, all recognized a kindred wildness in the human child. PASSAGE 2 The road, after the two wayfarers had crossed from the peninsula to the mainland, was no other than a footpath. It straggled onward into the mystery of the primeval forest. This hemmed it in so narrowly, and stood so black and dense on either side, and disclosed such imperfect glimpses of the sky above, that, to Hesters mind, it imaged not amiss the moral wilderness in which she had so long been wandering. The day was chill and sombre. Overhead was a gray expanse of cloud, slightly stirred, however, by a breeze; so that a gleam of flickering sunshine might now and then be seen at its solitary play along the path. This flitting cheerfulness was always at the farther extremity of some long vista through the forest. The sportive sunlightfeebly sportive, at best, in the predominant pensiveness of the day and scenewithdrew itself as they came nigh, and left the spots where it had danced the drearier, because they had hoped to find them bright. PRODUCE In this section, you will answer several analytical questions about the passages. Use specific references and/or quotations from the passages to support your answers. Be complete in your response. 1. Which passage is more Romantic? What specific details lead you to this decision? (Cite them specifically and explain how they demonstrate romantic ideas.) 2. Which passage is more Gothic? What specific details lead you to this decision? (Cite them specifically and explain how they demonstrate gothic ideas.) 3. What theme does passage #1 communicate about nature? Answer with one complete sentence. 4. What theme does passage #2 communicate about nature? Answer with one complete sentence. Suppose that we want to multiply 500 matrices and we use the optimal parenthesization computed by the MATRIX-CHAIN-ORDER function discussed in class. After finding the optimal parenthesization, how many pairs of round brackets ( ) are printed by the procedure PRINT-OPTIMAL-PARENS(s, 1, 500)?a. 249 b. 501 c. 251 d. 250 e. 499 f. 500