A 28-year-old females pays $163 for a 1 year $200,000 life insurance policy what is the expected value of the policy for the policyholder?​

Answers

Answer 1

Assuming that the policyholder is healthy and has an average life expectancy, we can estimate the expected value of the policy by multiplying the probability of dying during the policy period by the amount that will be paid out in the event of death.

The probability of dying during the policy period can be estimated using actuarial tables, which provide information on life expectancies based on age, gender, and other factors. For a healthy 28-year-old female, the probability of dying during a one-year policy period is very low, likely less than 0.1%.

If we assume a probability of dying of 0.1%, the expected value of the policy would be:

Expected value = 0.001 x $200,000 = $200

This means that, on average, the policyholder can expect to receive $200 in benefits from the policy. However, it's important to note that this is just an estimate and actual benefits may be higher or lower depending on the policyholder's individual circumstances.


Related Questions

solve ((-3) x (10 + (-7))) to the power of 2 divided by 3 - (-9) to the power of 2)

Answers

The solution of the given expression will be 9/16.

What is an expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?

Answers

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

What is Perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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see the picture above please help me thank you

see the picture above please help me thank you

Answers

Answer:

C. 0.5

Step-by-step explanation:

If point B is nearest to zero and that far from three, it is going to be 0.5. Not to mention, you can estimate that point is about a half from one.

Answer:

C

Step-by-step explanation:

A - 3.6 is ahead of C, so nope

B - -0.2 is behind A, nope

C - 0.5 works because it seems reasonably distanced (closer to 0 than 3.5)

D - 2 is closer to 3.5, but point b is closer to 0.

Also, if you divide the section between A and C by 7, you can find that 0.5 works because it should be the first section of 0.5

After a meal, your total bill (before tax) comes to $47.50. If the tax on
your meal is 6%, what is the cost of tax you will have to pay?

Answers

6% of 47.50 = 2.85

The tax money is $2.85

You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your subjects a drink that is equivalent to three 12-ounce beers, followed by the equivalent of two cups of coffee. Then your subjects complete a simulated driving task in which they must follow a fixed speed limit while driving on a straight road. Wind periodically and randomly pushes the simulated vehicle right, left, or not at all. Speed is measured in miles per hour above or below the 60-mph speed limit, with 1 mph being the smallest unit on the scale. Suppose the first subject scores 9 mph. Determine the real limits of 9. When measuring weight on a scale that is accurate to the nearest 0.2 pound, what are the real limits for the weight of 120 pounds? When measuring weight on a scale that is accurate to the nearest 0.5 pound, what are the real/limits for the we.ght of 187 pounds?

Answers

Answer:

First Question

lower limit of 9 mph  \(j =  8.5 \  mph\)

upper  limit of 9 mph \(q =  9.5 \  mph\)

Second Question

lower limit of 120 pounds is  \(i =  119.9 \  pounds\)

upper limit of 120 pounds is  \(l =  120.1 \  pounds\)

Third  Question

lower limit of 187 pounds is  \(a =  186.75 \  pounds\)

upper limit of 187 pounds is  \(b =  187.25 \  pounds\)  

Step-by-step explanation:

From the question we are told that

  The amount of beer administered is  three 12-ounce beers

  The  amount of coffee administered is  two cups of coffee

  The  speed limit is   60-mph

  The smallest unit of scale is  1 mph

  The first subject scores 9 mph

Generally given that the smallest unit of scale is  1 mph then the deviation of  9 mph will be by \(\frac{1}{2} \ mph\)

Hence the lower limit of 9 mph is

    \(j =  9 - 0.5\)

    \(j =  8.5 \  mph\)

And  the upper  limit of 9 mph is

    \(q =  9 + 0.5\)

    \(q =  9.5 \  mph\)    

Generally given that the measuring weight on a scale that is accurate to the nearest 0.2 pound then 120 pounds will deviate by  \(\frac{1}{0.2} \ pounds\)

Hence the lower limit of 120 pounds is

    \(i =  120 - 0.1\)

    \(i =  119.9 \  pounds\)

And  the upper  limit of 120 pounds is

    \(l =  120 + 0.1 \)

    \(l =  120.1 \  pounds\)    

Generally given that the measuring weight on a scale that is accurate to the nearest 0.5 pound then  187 pounds will deviate by  \(\frac{1}{0.5} \ pounds = 0.25 \ pounds  \)

Hence the lower limit of 120 pounds is

    \(a =  187 - 0.25\)

    \(a =  186.75 \  pounds\)

And  the upper  limit of 120 pounds is

    \(b =  187 + 0.25 \)

    \(b =  187.25 \  pounds\)      

Caffeine migrates the effects of alcohol.

Caffeine being a drug in itself is able to remove the effects of alcohol drugs. In order to study the effects of drinking coffee can be used to cure and treat the patients suffering.

Thus caffeine has more medicinal usage.

The study administered to the subject that drink coffee equivalent to three 12 ounces of beer was taken in 2 cups of coffee. The subjects were asked to do driving takes which has some mixed reactions.The goal was to find a cause-and-effect relationship. The study proves that the caffeine kept them more awake as per the use of alcohol of the beer.Hence as per the effect of chemicals, the effects of weights increased. Thus was able to migrate the reaction time.

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Can anyone answer this?

Can anyone answer this?

Answers

Answer:

Ayo its Jose is the only one who was trying to get me to do the thank you usa for the support of the joy luck club the story is about a mother that lost every thing in China and whent to America to start a new life but she make her daughter do something that she don't want to be ninja in and she is not sending her

What is the range of this function?-2rtF113y2--3-0OA. (-∞0,00)O B. [0, 1]OC. all real numbers where IOD. all real numbers where ITT+ n+ na2T➜X

What is the range of this function?-2rtF113y2--3-0OA. (-0,00)O B. [0, 1]OC. all real numbers where IOD.

Answers

RecallThe range of a function is the set of its possible output values. \(\)The final answerOption A

Question 8 of 10 The graph of the absolute value parent function, *(x) = Ix, is stretched horizontally by a factor of 5 to create the graph of g(x). What function is g(x)

Answers

Answer:

  g(x) = |x/5|

Step-by-step explanation:

A function is stretched horizontally by a factor of k when x is replaced by x/k.

  g(x) = f(x/5)

  g(x) = |x/5| . . . . . stretch of absolute value by a factor of 5

Question 8 of 10 The graph of the absolute value parent function, *(x) = Ix, is stretched horizontally

7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?

Answers

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

Find an equation for the line below.

Find an equation for the line below.

Answers

Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

help me with this math please, my life kinda depend on this, but please help fast! ill give brainlyist

help me with this math please, my life kinda depend on this, but please help fast! ill give brainlyist

Answers

Parent function f(x) = 1/2ˣ will be translated Vertically compress by a factor of 1/3, which gives a function f(x) = 1/2ˣ - 1/3.

Define translation.

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) (x + 5, y + 3).

Given

Parent function

f(x) = 1/2ˣ

Vertically compress by a factor of 1/3

Translation

f(x) = x - k

f(x) = 1/2ˣ - 1/3

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Where would the point
(4, 2) be located on the coordinate plane?

A) At x = 4 and y = 2
B) At x = 2 and y = 4
C) At x = 4 and y = 6

Answers

Answer:

A) At x = 4 and y = 2

Step-by-step explanation:

When you have something like (4,2), as shown above, the first number in parenthesis is x while the second number is y.

So here, the 4 would be x and the y would be 2

Answer:

A

Step-by-step explanation:

x4 and y2 and =6a at 4x and 2y

Nick planted a cedar tree. It grew 10 cm in ½ of a year. What will the height of the tree be at the end of 6 years?

Answers

Answer:

120 cm

Step-by-step explanation:

1/2 is 6 months and 6 years are 72 months.

Using the rule of three, 10 cm is to 6 months what x is for 72 months so

x = (72 * 10) / 6 = 120

Solve the equation 3y + xy = 23 for
the variable y.

Answers

y = 23/(3 + x)

Step-by-step explanation:

\(\begin{aligned}\rm 3y + xy&= 23\\\rm y(3 + x)&= 23\\\bf y&=\bf\frac{23}{3+x}\end{aligned}\)

Need help ASAP

the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)

Need help ASAPthe value of each variable. If your answer is notteger, express it in simplest radical

Answers

Answer:

me too (help)

Step-by-step explanation:

Is mayonnaise an instrument

Answers

no Patrick mayonnaise is not an instrument

Answer:

Yes, yes it is

Step-by-step explanation:

I play Mayonnaise in my band

In an economics class, 4 students earned an A, 6 earned a B, 5 earned a C, 5 earned a D, and 3 earned an F. If a single student is picked at random, what is the probability that they earned an B or C?

Provide your answer as a simplified fraction.

Answers

Answer:

11/23

Step-by-step explanation:

B = 6

C = 5

6+5=11

11/23

How many seconds are in 9 days? Show conversion factors and solve.

Answers

9 days =777600 seconds

1 day=24hrs=1440mins=86440 s
9days=86440(9)= 777600s

Hope this can help.

Calculate the sector area: 16 in 90°​

Answers

Therefore , the solution of the given problem of area comes out to be

r = 8.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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I need help with this question! (For 55 points)

I need help with this question! (For 55 points)

Answers

Answer:

1.65 inches

Step-by-step explanation:

3.63/2.2= 1.65

Check

2.2 x 1.65 x 1/2 = 1.815

Repeat for the other half of the triangle

2.2 x 1.65 x 1/2 = 1.815

Add

1.815 + 1.815= 3.63

Answer:

1.65"

Step-by-step explanation:

I did the test

Hope this helps :)

Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT

Answers

My answer is letter B. >

Please ANSWER!!!!!!!

Please ANSWER!!!!!!!

Answers

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Ch. 1. Problems 6, 7 & 9
6. The only swimmng pool at a motel is outdoors. It is 5.0 m wide and 12.0 m long. If the weekly
evaporation is 2.35 inches how many gallons of water must be added to the pool if it does not rain? If during the next week the pool still loses two. 35 inches of water to evaporation, even with 20 mm of rainfall, how many liters of water must be added?

Answers

Answer:

946 gal

629 gal

Step-by-step explanation:

volume that evaporates = LWH

volume = (5.0 m × 100 cm/m × inch / 2.54 cm) × (12.0 m × 100 cm/m × inch / 2.54 cm) × 2.35 inch

volume = 218,550 in.³

volume = 218,550 in.³ × 1 gal / 231 in.³

volume = 946 gallons

You must add 946 gallons.

The loss to evaporation is 2.35 in.

The amount of rain is 20 mm

The net loss is

2.35 in. × 25.4 mm / inch - 20 mm = 39.69 mm

39.69 mm × 1 inch / 25.4 mm = 1.563 in.

The net loss now is 1.563 in. instead of 2.35 in.

We find the fraction of the the previous loss is the loss with rain and multiply by the previous loss.

1.563/2.35 × 946 gal = 629 gal

With rain, then 629 gallons of water must be added.

The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 

Answers

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Graph the line with slope 1/3 and y-intercept -2.

Answers

Step-by-step explanation:

the answer is the image above

Graph the line with slope 1/3 and y-intercept -2.

please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove ​

Answers

Answer:

(34-4)/2

Step-by-step explanation:

First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D  

The US Mint charges $25 for a limited edition coin, plus a $6 shipping charge. The
cost, c, of purchasing n coins can be found using the function c = 25n+6. There is a
limit of 5 coins per purchase. What is a reasonable domain for this function?
a. {5}
b. {1, 2, 3, 4, 5}
c. {25, 50, 75, 100, 125}
d. {31, 56, 81, 106, 131}

Answers

Answer:

b. {1, 2, 3, 4, 5}

Step-by-step explanation:

Given function:  

c = 25n + 6

(where c is the total purchase cost and n is the number of coins)

Domain:  input values → n-values

If there is a limit of 5 coins per purchase, this means that you can purchase up to and including 5 coins at any one time.  

Therefore, the domain is:  {1, 2, 3, 4, 5}

{1, 2, 3, 4, 5} is a reasonable domain for this function.

So, the correct answer is:

b. {1, 2, 3, 4, 5}.

The cost function for purchasing n coins is given by c = 25n + 6.

However, there is a limit of 5 coins per purchase.

This means that the number of coins (n) should not exceed 5,

as it is not possible to purchase more than 5 coins in a single purchase.

Therefore, a reasonable domain for this function would be the set of numbers from 1 to 5,

since n can take any value between 1 and 5, inclusive.

Hence, {1, 2, 3, 4, 5} is a reasonable domain for this function.

So, the correct answer is:

b. {1, 2, 3, 4, 5}.

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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx

Answers

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Please help me with the question that has the pink dot.

Please help me with the question that has the pink dot.

Answers

Answer:

m<FEH = 15

Step-by-step explanation:

We can find angle G

The three angles of a triangle add to 180

90 + 75+ G = 180

165 + G = 180

G = 180-165

G = 15

Since the triangles are similar, <E = <G

<E = 15

So m<FEH = 15

Answer:

m>FMH

Step-by-step explanation:

What is the value of S4 for
0 554
O
64
O
(J1
14
O 516
05/0
O
56
n-1
24 (1)
n=1
?

What is the value of S4 for0 554O64O(J114O 51605/0O56n-124 (1)n=1?

Answers

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

Other Questions
the moth's proboscis is made of the paired and elongated , which is a lobe on the maxilla. the moth's proboscis is made of the paired and elongated , which is a lobe on the maxilla. ligula lacinia cardo stipes galea The managing partner at Carol's Accounting Service typically hires one part-time intern to complete her clients' basic tax returns. Carol expects her intern to complete 260 of these basic returns, estimating each one to take 30 minutes of the intern's time. Carol pays her intern $23/ hour and incurs additional variable overhead costs of $18 /hour associated with the resources that are needed behind the scenes for these jobs. What cost of services should Carol budget for all basic tax returns this season, and how much should she charge each client if she wants to earn 60% gross margin on each of these returns? (Round sales price per unit to 2 decimal places, eg. 15.25.) Cost of services $ Sales price per unit perunit who is infamous for making the first insider trading transaction in the u.s.? When a negotiator adopts a win-lose orientation in which one party necessarily loses when the other party gains, they are using the ____ approach to negotiations. (HistogramsA group of students was asked about the number of fights they have taken. The data is shown in the line plot.Flights TakenWhich of the following best describes the spread of the data? Explain its meaning in this situation.O The data has a range of 5, which is a wide spread. This means the greatest number of fights was 5.O The data has a range of 15, which is a narrow spread This means that there is not a large difference in the number of fights taken by the students.O The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights.O The data has a range of 15, which is a wide spread. This means that there is a difference of 15 flights between each of the students. tell whether the reaction shifts towards reactants (R) or products (P). The first line in a Hypertext Markup Language (HTML) file is the _____, which is a processing instruction indicating the markup language used in a document. In "The Raven," what is the only word the bird utters to the speaker? Debbie has 340 dimes in three boxes. she says that there are 4 times as many dimes in the first box as in the second and 3 times as many in the third box as in the first how much money in dollars does she have in each box What is sanchos purpose for writing to convince?. Dwight made this model using a golfball, a baseball, and a basketballHow could Dwight improve his model?Group of answer choicesMake the moon smaller than the earthPlace the sun between the Earth and the moonPlace Earth between the moon and the sunUse a flat object, such as a coin, to represent the objects What is the main type conflict that the author reveals in the story? Harrison Bergeron Which phrase accurately describes the location of Africa? O mostly in the eastern hemisphere mostly south of the Tropic of Capricorn O borders the Pacific Ocean O lies north of Europe Deficiency of vitamin b can lead to according to your text, bauman (2019) shared a simple, yet profound way to define the relationship between spirituality and religion. what is it? Exercise 1 Draw one line under each compound subject and two lines under the simple predicate they share. Circle the conjunction or conjunctions. Either Our Town or Romeo and Juliet will be the first production. 1f(x) =1/10x-4 g(x)=1/x+2 In the following questions about which models have the specifiedattributes or properties use one or more of the followingabbreviations for your answers: DFA, NFA, e-NFA, 2DFA, PDA, TM, Allor None.(a) Which models have a finite input alphabet?(b) Which models have an infinite input alphabet?(c) Which models have an additional alphabet besides the inputalphabet?(d) Which models have a read only tape head?e) Which models have a read/write tape head?(f) Which models have a tape head that can move left orright?(g) Which models tape head moves automatically, i.e., not specifiedby transition function?(h) Which models automatic tape head motion can besuppressed?i) Which models accept or reject only after scanning to end oftape?j) Which models have a set of accept states?(k) Which models have a unique accept state that can be jumped toon any step?(l) Which models have memory with unbounded capacity?(m) Which models memory is a stack?(n) Which models memory is writable/readable tape?(o) Which models can loop?(p) Which models can not loop, i.e., will always stop? a spring is attached to a mass. it takes 50 -lb of work to move the mass from x = 1 to x = 3 (in feet) at constant speed, where the resting position is at x = 0. what is the spring constant? a buffer that contains 0.33 m of a base, b and 0.36 m of its conjugate acid bh , has a ph of 9.58. what is the ph after 0.039 mol of naoh are added to 0.78 l of the solution?