In an experiment with a bag of marbles, P(green) = three fourths. Interpret the likelihood of choosing a green marble.

Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.

Answers

Answer 1

The interpretation of the likelihood of choosing a green marble is; Likely

How to interpret experimental probability?

Theoretical probability is defined as the term that is used to describe what is expected to happen based on math theory. Meanwhile, experimental probability that is used to describe what actually happens when the actual situation is tried out as an experiment.

Now, we are told that the probability of selecting a green marble in a bag of marbles is 3/4. This expressed in percentage is 75%.

This experimental probability is more than half of the entire probability and as such we can say that it is very much likely to occur when we select a marble.

We conclude that the correct answer is Option A.

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Related Questions

What The What The???​

Answers

Considering a geometric sequence, the pattern is given as follows:

1, 2, 4, 8, 16, 32, 64.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The first term and common ratio are given as follows:

[tex]a_1 = 1, q = 2[/tex].

Hence the remaining terms are:

[tex]a_4 = 2^{4-1} = 8[/tex][tex]a_5 = 2^{5-1} = 16[/tex][tex]a_7 = 2^{7-1} = 64[/tex]

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The circumference of a circle is 13π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

The area of the circle with the given circumference is: 42.25π in.².

What is the Area and Circumference of a Circle?

Area = πr²

Circumference = 2πr.

Given the following:

Circumference of the circle = 13π in.

Find the radius (r):

2πr = 13π

Divide both sides by 2π

2πr/2π = 13π/2π

r = 13/2

r = 6.5

Area = πr² = π(6.5²) = 42.25π in.²

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I
23
12
N
L
12
23
O
K
M
18
18

Answers

Answer: [tex]\sqrt{407}[/tex]

Step-by-step explanation:

In this triangle, we know that [tex]IJ=46, IK=24, JK=36[/tex].

So, using the Law of Cosines in triangle IJK,

[tex]36^2 = 46^2 + 24^2 - 2(46)(24) \cos (\angle JIK)\\\\-1396=-2(46)(24) \cos(\angle JIK)\\\\\cos (\angle JIK)=\frac{349}{552}[/tex]

Using the Law of Cosines in the triangle LIK,

[tex](KL)^2 = 23^2 + 24^2 - 2(23)(24) \cos (\angle JIK)\\\\(KL)^2 = 23^2 + 24^2 - 2(23)(24)\left(\frac{349}{552} \right)\\\\(KL)^2 = 407\\\\KL=\sqrt{407}[/tex]

What number line shows the solution set to this inequality? -2x + 9 < x − 9

Answers

For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.

Number line and inequality

Given the inequality expression as shown

-2x + 9 < x − 9

Collect the like terms

-2x - x < -9 - 9

-3x < -18

Divide through by -3

x > -18/-3

x > 6

For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.

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Which graph represents the solutions to the inequality |2x − 6| < 4? (5 points) number line with a closed circle on 1, shading to the left and a closed circle on 5, shading to the right number line with a closed circle on 1, shading to the right and a closed circle on 5, shading to the left number line with an open circle on 1, shading to the left and an open circle on 5, shading to the right number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left

Answers

The graph that represents the inequality is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

What is the inequality?

The inequality is:

|2x - 6| < 4

Which means that the distance of 2x - 6 to the origin is less than 4, hence:

-4 < 2x - 6 < 4.

The solution is:

2x - 6 > -4

2x > 2

x > 1

2x - 6 < 4

2x < 10

x < 5

The solution has open circles at x = 1 and x = 5, as they are not part of the solution, and the shading is in the middle, as the solution is 1 < x < 5, hence the correct option is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

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Mark and paula are storing masks. Paula has 70% of the total number of masks. If paula has 840 more masks thatn mark, how many masks should paula give to mark si they both have an equal number of masks

Answers

Answer:

1050 masks per person.

Step-by-step explanation:

1) Create an equation to find the total number of masks

2) Solve equation and divide total by 2 to get the number of masks that can be given to both Mark and Paula so that they have equal number.

1) Since Paula has 70% of the total masks, it can be represented as 0.7 * t where t is the variable representing the total number of masks. Mark on the other hand has the remaining number of masks out of 100% which is 30%. We can express that as 0.3. We multiply that by t because he has 30% of the masks. The final equation we have is 0.3t + 840 = 0.7t. 840 because Paula has 840 more masks than Mark.

2) Solve by subtracting 0.3t from both sides leaving you with 0.4t = 840. We divide both sides by 0.4 to get 2100. That is the total number of masks. If we divide that number by 2, we get 1050.

FInd the solution for the ordered pair
2x + y = 5 and x + y = 6

Answers

Answer:

(-1,7)

Step-by-step explanation:

Use elimination, x = -1, y = 7

Answer:

(-1, 7)

Step-by-step explanation:

Elimination Method:

Elimination: Step 1

Write in standard form (you can have negatives)

(standard form= Ax+By=C)

Elimination: Step 2

Create(find) opposites

Elimination: Step 3

Add to cancel one variable

Elimination: Step 4

Solve for variable

Elimination: Step 5

Substitute into other equation to find other variable

Substitution (Method)

In a linear system of equations, substitution results in one equation with one variable. The solution to a linear system is an ordered pair, not just a single value.

Problem:

Solve 2x+y=5;x+y=6

Steps:

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=5;x+y=6

Step: Solve 2x+y=5 for y:

2x+y+−2x=5+−2x(Add -2x to both sides)

y=−2x+5

Step: Substitute −2x+5 for yin x+y=6:

x+y=6

x+−2x+5=6

−x+5=6(Simplify both sides of the equation)

−x+5+−5=6+−5(Add -5 to both sides)

−x=1

-x/-1 = 1/-1 (Divide both sides by -1)

x=−1

Step: Substitute −1 for x in y=−2x+5:

y=−2x+5

y=(−2)(−1)+5

y=7(Simplify both sides of the equation)

Answer:

x=−1 and y=7

Find the area of the region that lies inside both curves.
r² = 2 sin(2θ), r=1

Answers

The area of the region that lies inside both curves r² = 2sin(2θ),  r = 1 is -0.1287 square units.

How to find the area of the region that lies inside both curves?

Since the curves are

r² = 2sin(2θ) and r = 1.

We find their point of intersection.

So, r² = r²

2sin(2θ) = 1²

2sin(2θ) = 1

sin(2θ) = 1/2

2θ = sin⁻¹(1/2)

2θ = π/6

θ = π/12

So, we integrate the area from θ = 0 to θ = π/12

Now the area A of the region between two curves between θ = α to θ = β is

[tex]A = \int\limits^{\beta }_\alpha ({r^{2} - r^{'2} }) \, d\theta[/tex]

So, the area betwwen the curves r² = 2sin(2θ),  r = 1 between θ = 0 to θ = π/12 is

[tex]A = \int\limits^{\frac{\pi}{12} }_0 ({r^{2} - r^{'2} }) \, d\theta \\= \int\limits^{\frac{\pi}{12} }_0 ({2sin2\theta - 1^{2} }) \, d\theta\\= \int\limits^{\frac{\pi}{12} }_0 ({2sin2\theta - 1}) \, d\theta\\= \int\limits^{\frac{\pi}{12} }_0 {2sin2\theta}\, d\theta - \int\limits^{\frac{\pi}{12} }_0 {1} \, d\theta\\= [2(-cos2\theta)/2 - \theta]_{0}^{\frac{\pi}{12} } \\= [-cos2\theta - \theta]_{0}^{\frac{\pi}{12} } \\= -cos2\frac{\pi}{12} - \frac{\pi}{12} - ( -cos2(0) - 0)\\[/tex]

[tex]= -cos2(\frac{\pi}{12}) - \frac{\pi}{12} - ( -cos2(0) - 0)\\= -cos\frac{\pi}{6}- \frac{\pi}{12} - ( -cos0 - 0)\\= -cos\frac{\pi}{6}- \frac{\pi}{12} - ( -1)\\= -(\frac{\sqrt{3} }{2} ) - \frac{\pi}{12} + 1\\= -0.8660 - 0.2618 + 1\\= -1.1278 + 1\\= -0.1278[/tex]

So, the area of the region that lies inside both curves r² = 2sin(2θ),  r = 1 is -0.1287 square units.

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A new refrigerator that normally sells for $897.00 is on sale for 15% off. If the sales tax is 7.5%, then how much will you pay in total for the refrigerator while it’s on sale?



Answers

Answer: About 830 dollars

Step-by-step explanation: find 15% off on 897 then find 7.5 percent of 897, then add them together.

Select the solution to the following system of equations:

4x + y = 6
2x - 3y = -4

Answers

The solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)

Simultaneous linear equations

From the question, we are to solve the given system of equations

The given system of equations is

4x + y = 6     -----------(1)

2x - 3y = -4   -----------(2)

From the equation (1)

4x + y = 6

y = 6 - 4x      ----------(3)

Substitute the value of y into equation (2)

2x - 3y = -4

2x -3(6 - 4x) = -4

2x -18 +12x = -4

2x + 12x = -4 + 18

14x = 14

x = 14/14

x = 1

Substitute the value of x into equation (3)

y = 6 - 4x

y = 6 - 4(1)

y = 6 - 4

y = 2

Hence, the solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)

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I have no clue what this question is asking nor how to answer it

Which of the following numbers are solutions of the sentence x-3< 2?

| -3
|| 0
||| 2
IV 5


II only

III only

I and III only

I, II, and III only

Or

I, II, III, and IV

Answers

Answer:

IV 5

Step-by-step explanation:

you have to solve for x:

x-3<2

x-3+3<2+3

x=5

could you put the brainlyest Icon for me? I have 1500 points, but no brainlyest, so I can't move up the ranks.

f(x)=√x+11. Find the inverse of f(x).

Answers

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11                                        <----- Original equation

x = √y + 11                                        <----- Swap variables

x - 11 = √y                                         <----- Subtract 11 from both sides

(x - 11)² = (√y)²                                  <----- Square both sides

(x - 11)² = y                                        <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

Aaron wants to make All-Tournament Team for his high school
basketball team. He needs to average at least 24 points a game
to get selected for All-Tournament Team. They are playing 4
games, in the first 3 games he scored 30, 17, and 25 points.

Answers

Answer:24

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the difference between 89.4 and 13.621 do not round your answer

Answers

Answer:

89.4 - 13.621 = 75.779

Explanation:

Subtract 13.621 from 89.4 to get 75.779.

Bowl S contains only marbles.if 1/4 of the marbles were removed,the bowl would be filled to 1/2 of its capacity. If 100 marbles were added, the bowl would be full.how many marbles are in bowl S?

Answers

Answer:

22222222222222222222222222+22222222

On a shelf of a book store, there are 3 books on English, 4 books on Economics and 5 books on Business Mathematics. How many collections can be made, if each collection consists of at most 3 books on each subject?​

Answers

If each collection consists of at most 3 books on each subject, the number of collection that can be made of 3 English, 4 Economics, and 5 Business Mathematics books are 40.

What is a combination?

A combination, as a mathematical technique, determines the number of possible arrangements in a collection of items.

In the combination, the order of the selection does not matter.

The implication is that in combinations, one can select the items in any order, unlike permutations, where the order of selection matters.

Data and Calculations:

English books on shelf = 3

Economics books on shelf = 4

Business Mathematics books on shelf = 5

Collections to be made = 3 books on each subject

The solution can be set up as a combination problem, as follows:

3 C 3 x 4 C 3 x 5 C 3

3! / 3! (3 – 3)! The solution is 1.

4! / 3! (4 – 3)! The solution is 4.

5! / 3! (5 – 3)! The solution is 10.

1 x 4 x 10

= 40

Thus, if each collection consists of at most 3 books on each subject, the number of collections that can be made of 3 English, 4 Economics, and 5 Business Mathematics books is 40.

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Use the figure below to complete the following problem.
Given:
ZH=2x+60
LT=x+30
HALT is a
H
2T=


1. 30
2. 60
3. 90

Answers

Answer:

1. 30

Step-by-step explanation:

∠H + ∠T = 180

(2x+60)+(x+30)=180

3x+90=180

3x=90

x=30

Calculate a and b if
[tex] \sqrt{ \frac{ {7}^{2014} - {7}^{2012} }{12} } = a( {7}^{b} )[/tex]
and a is not a multiple of 7. ​

Answers

Notice that

[tex]7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}[/tex]

[tex]12=2^2\times3[/tex], so

[tex]\dfrac{7^{2014}-7^{2012}}{12} = 2^2 \times 7^{2012}[/tex]

Then taking the positive square root gives

[tex]\sqrt{\dfrac{7^{2014}-7^{2012}}{12}} = \sqrt{2^2 \times 7^{2012}} = 2\times7^{1006}[/tex]

so [tex]\boxed{a=2}[/tex] and [tex]\boxed{b=1006}[/tex].

I have the question shown in the screenshot

Answers

The width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.

How to find the dimensions of the rectangle of maximum area by optimization

In this problem we must use critical values and algebraic methods to determine to determine the dimensions of the rectangle such that the area is a maximum. The equation of the quadrilateral is formed by definition of the area of a rectangle:

A = w · h    (1)

Where:

w - Width of the rectangle.h - Height of the rectangle.

And the area of the entire triangle is:

0.5 · (5) · (12) = w · h + 0.5 · w · (12 - h) + 0.5 · (5 - w) · h

30 = w · h + 6 · w - 0.5 · w · h + 2.5 · h - 0.5 · w · h

30 = 6 · w + 2.5 · h

2.5 · h = 30 - 6 · w

h = 12 - 2.4 · w    (2)

The quadrilateral of maximum area is always a square, then we must  solve for w = h:

w = 12 - 2.4 · w

3.4 · w = 12

w = 3.529

Then, the width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.

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Paul's budget for food is 30% of the budget he has for rent.
If his budget for food is $225, what is his budget for rent?

Answers

Budget for rent is $750

to get an easier number to work with, divide 225 by 3 to get what 10% which is 75

then multiply 75 by 10 to get the full 100% (because 10x10=100) which is 750.

Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

What are fractions?

Fractions are representation of quantities as a part of a certain quantity.

Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.

a is called the numerator, and b is called the denominator.

What are percentages?

Percentages are modified fractions where the whole quantity is represented by 100.

To convert a fraction into percentages we multiply it by 100, while to convert percentages to fraction divided by 100.

How to solve the question?

In the question, we are given that Paul's budget for food is 30% of the budget he has for rent.

We are asked if his budget for food is $225, what is his budget for rent.

We assume Paul's budget for rent to be $x.

We know that Paul's food's budget is 30 percent of his rent.

Hence, Paul's food budget = 30% of x.

or, Paul's budget for food = 30/100 * x {To convert percentages to fraction divided by 100}

But, we know that Paul's food budget is $225. Thus, we can show that:

225 = 30/100 * x,

or, x = (225*100)/30 = 750.

Thus, Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

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The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides.

Answers

Answer:

12 inches

Step-by-step explanation:

Perimeter refers to distance around the 2D shape.

A hexagon is a polygon with 6 sides. The formula for the perimeter of a hexagon is P=6s

72=6s

The hexagon is 12 inches long


A hexagon has 6 sides. This means that 72 divided by 6 sides = 12 in.


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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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Engineers must design a process for producing ammonia in amounts large enough to ensure a reasonable profit. Which criterion would the process need to meet? A. The process must make large amounts of product at a low cost? B. The process must be based on a technology that has long been used.C.The process must use only small amounts of reactants.D.The process must use the safest and most natural materials


Need this fast please

Answers

The process needs to meet the following criterion:The process must make large amounts of product at a low cost. That is option A.

What is ammonia?

Ammonia is defined as a gas compound that is made up of nitrogen and oxygen in the ratio of 1:3 respectively.

The industrial and modern method constructed by Engineers for ammonia production is called steam reforming.

The natural resources used for industrial production of ammonia can be gotten from natural gas such as methane.

To make profit, natural products are used which costs less to acquire but will lead to the production of large ammonia quantity.

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find the difference

Answers

Answer:

141; 6526; 28d.

Step-by-step explanation:

try this option, all the details are in the attachment.

What is the product?

Answers

The correct product of (6x - 2)(6 x + 2) is 36x^2 - 4

How to determine the product?

The expression is given as:

(6x - 2)(6 x + 2).

The above expression is a difference of two squares.

And this is represented as

(a - b)(a + b)= a^2 - b^2

So, we have

(6x - 2)(6 x + 2) = (6x)^2 - 2^2

Evaluate

(6x - 2)(6 x + 2) = 36x^2 - 4

Hence, the correct product of (6x - 2)(6 x + 2) is 36x^2 - 4

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Complete question

What is the product?

(6x - 2)(6 x + 2).

The average heart rate of an adult human is 72 beats per minute. For an adult elephant, the average heart rate is 35 beats per minute.

A. Whose heart beats more times in one hour

B. Whose heart makes 1,000,000 beats in less time

Answers

The answer for both questions are adult humans

g(r) = -20 +11r
8(11) = ?

Answers

Answer:

g(11) = 101

Step-by-step explanation:

g(r) = -20 + 11r

So in g(11), we just need to replace 'r' with '11'

g(11) = -20 + 11 (11)

--> g(11) = -20 + 121 = 101

--> g(11) = 101

Please comment down below if 8(11) wasn't a typo. I thought it was, so I replaced 8 with g. If that was intentional, I'll edit my answer as soon as possible.

A focus group study has always been the primary way for ABC Toys Company to gather customers' opinions for marketing strategy. In the past, when a new product was popular in the market, a focus group study had incorrectly indicated that it would be unpopular with a probability of 0.275. When a new product was unpopular, a focus group had incorrectly indicated that it would be popular with a probability of 0.175. Assume that the probability of a new product being popular in the market is 0.60. What is the probability that a new product will be unpopular if a focus group study indicates that it will be unpopular?

Answers

Using conditional probability, there is a 0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

For this problem, the events are given as follows:

Event A: Study indicates that the product is unpopular.Event B: Product is unpopular.

The parameters are given as follows:

P(A) = 0.6 x 0.275 + 0.4 x 0.825 = 0.495.[tex]P(A \cap B) = 0.4 \times 0.825 = 0.33[/tex]

Hence the conditional probability is:

[tex]P(B|A) = \frac{0.33}{0.495} = 0.6667[/tex]

0.6667 = 66.67% probability that a new product will be unpopular if a focus group study indicates that it will be unpopular.

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need help with this ​

Answers

Answer:

[tex]x^4-20x^3 +175x^2 -750x+1250[/tex]

Step-by-step explanation:

By the conjugate root theorem, 5+5i is also a root.

[tex]f(x)=a(x-5)^2 (x-5-5i)(x-5+5i) \\ \\

= a(x^2 - 10x+25)((x-5)^2 - (5i)^2) \\ \\

= a(x^2 - 10x+25)(x^2 - 10x+25+25) \\ \\

= a(x^2-10x+25)(x^2-10x+50) \\ \\

= a(x^4- 10x^3 + 50x^2 - 10x^3 + 100x^2 - 500x + 25x^2 - 250x+1250) \\ \\

= a(x^4-20x^3 +175x^2 -750x+1250) \\ \\ [/tex]

Given b(x)=|x+41|, what is b(-10)?

Answers

Answer:

31

Step-by-step explanation:

Substitute -10 for x in b(x)=|x+41|, obtaining f(-10) = |-10 + 41|.  This result simplifies to f(-10) = |31| = 31

See attachment for the full question

Answers

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

How to find the inverse of a function?

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

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every class should have: getters are no necessary a constructor, getters, setters, and variables setters are not necessary a tostring method compute the surface integral of the function f(x, y, z) = 4xy over the portion of the plane 3x 4y z = 12 that lies in the first octant. show that can be modeled with 3gsin2ls. the rotational inertia of the sign is is=13msl2s. Following is a table for the present value of an annuity of $1 at compound interest Joshua is a salesperson who sells computers at an electronics store. He makesa base pay amount each day and then is paid a commission as a percentage ofthe total dollar amount the company makes from his sales that day. Theequation P 0. 04x + 95 represents Joshua's total pay on a day on whichhe sells x dollars worth of computers. What is the slope of the equation andwhat is its interpretation in the context of the problem? Using the hint provided, estimate the power your brain uses (in Watt) if it consumes 10 times more energy than any other part of your body. if y1 and y2 are continuous random variables with joint density function f (y1, y2) = ky1ey2 , 0 y1 1, y2 > 0, find (a) k, (b) fy1 (y1) and (c) f (y2 | y1 < 1/2). Here is the kind of output I get before fixing the move method.4000 0.4 3.18000 1.5 4.116000 4.9 3.232000 21.6 4.4Here is the kind of output I get after fixing the move method.You can see that it is much faster, but not very consistent.This is due to garbage collection and other system effects. The duration of a bond with a coupon rate of 6.5% (paid annually), a yield to maturity of 6.5% and a remaining time to maturity of 4 years isA. 3.65 years.B. 3.45 years.C. 3.85 years.D. 4.00 years. let r be a partial order on set s, and let a,b s with arb. prove that the interval poset [a,b] has a greatest and a least element. Post-Reading Questions1. The topic of the essay is Death Penalty in the Philippines. What is the thesis statement??2. State the reasons/arguments of the writer on why death penalty should not be implemented in the Philippines?3. What is the counterargument (opposing side) of the essay? What is the refutation of the counterargument?4. In your opinion, should death penalty be implemented in our country?? State your reasons. 5. How would this affect our Filipino values and morale? The purpose of a refrigerator is to remove heat from a refrigerated space, whereas the purpose of an air conditioner is remove heat from a living space. True or False Find the particular solution that satisfies the differential equation and the initial condition.f''(x) = x^2, f'(0) = 7, f(0) = 4f (x) = ? If you own a portfolio of small company stocks, you may to compare your portfolio's performance to which one of the following indices? S&P 500 Dow Jones Industrial Average Russell 2000 Russell 1000 consider the following mips instruction. what would the corresponding machine code be? write your answer in binary (either without spaces or spaces every 4 bits) or hexadecimal (no spaces). We have a container of unknown size. It's pressure is 30 atm, with 1. 5moles at 2000K. What is the volume of this container? Given the time series 53, 43, 66, 48, 52, 42, 44, 56, 44, 58, 41, 54, 51, 56, 38, 56, 49, 52, 32, 52, 59, 34, 57, 39, 60, 40, 52, 44, 65, 43guess an approximate value for the first lag autocorrelation coefficient rho1 based on the plot of the series 2. compare the two functions n2 and 2n/4 for various values of n. determine when the second becomes larger than the first. A rod with negligible resistance is sliding toward the right with a speed of 1.77m/s on rails separated by L=2.58cm that have negligible resistance. A uniform magnetic field of 0.75T , perpendicular to and directed out of the screen, exists throughout the region. The rails are connected on the left end by a resistor with resistance equal to 5.5 . What is the magnitude, in amperes, of the induced current that passes through the resistor? What is the direction of the induced magnetic field as the rod slides toward the right? What is the direction of the induced current through the resistoras the rod moves toward the right? Design the predicate halve/3 that takes a list as its first argument and returns two lists each with half the elements of the original list (similar to the function halve we studied in ML).Demonstrate that your program works by posing the following queries:?- halve([], X, Y).X = Y, Y = []?- halve([1], X, Y).X = [1],Y = []false?- halve([1,2], X, Y).X = [1],Y = [2]?- halve([1,2,3], X, Y).X = [1, 3],Y = [2]false?- halve([1,2,3,4], X, Y).X = [1, 3],Y = [2, 4]