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Is Your Baby’s Unexpected Delivery Time Your Greatest Worry?

Giving birth to a new life is one of the loveliest things that happen on this planet. Women go through a great deal to bring their baby into this world. The journey isn’t quite as lovely as the baby but it’s worth it. So what exactly do we mean by this when we say the journey could be a little rough. Well for starters, a pregnant woman carries a life inside of her body which needs to be nurtured within the womb. Women have to stick to a certain set of diet to make sure the baby is getting all the nutrition it needs.

1. Pain Inflated Belly

Then there are back pains due to an inflated belly throughout the pregnancy. However, the ultimate concern of all, at least statistically speaking, happens to be the exact time when the baby is ready to see the outside world. Sure, we can say with a certain degree that the time is 9 months but which day of the 9th month, which time of the day! That is the big question.

2. Worryness of Pregnant Women

Why is it a concern? Well pregnant women have to worry a lot about the exact time that they’d be expecting their babies in their hands rather than in their bellies. The reason being that delivery is serious stuff and one can’t jeopardize the timing when it happens.

3. Solution

It’s often the case that a pregnant woman is far away from a hospital and suddenly their water breaks and they go into labor. Then there are times when labor pains start and the caretakers have to face traffic jams while rushing the pregnant woman to the hospital.

These are just two of the factors. But these are serious problems which can jeopardize the proper birth of the baby. So how can this problem be tackled. Well, it turns out that there is a solution, a due date calculator.

4. Getting help from Web Resources

You heard that right! These online calculators can give you an excellent approximation of the time that you’d be giving birth to your baby with probabilities that are very close to 1.

These tools work by estimating the time of delivery usually based on the time and duration of your last period. So yeah, these variables would be something you’d have to remember for these tools to work.

The probabilistic delivery time then calculated falls within a narrow range of roughly 7 to 10 days. This in turn would give you a pretty good idea how to schedule your activities that leave space for these narrow range of days.

It is advised that you make sure that there is a hospital in your vicinity in this range of days and that you have people who are prepared 24 hours in this timeline to take you to the hospital at the right time.

Also, there is a lot of mental preparation that is required when you are expecting. A good approximation on when your baby would come into this world, would help you ready yourself mentally as well as physically to go through the process.

Cheers!

How to solve problems related to quadratic equations?

Are you a math student, struggling to solve algebra problems? Algebra can be fun and tricky at the same time, most of the students face difficulty while dealing with polynomial expressions and derivation. Technology is very helpful to provide some online tools like differentiation calculator, iterated integral calculator, and many more. Whenever we talk about polynomial equations, a famous formula comes in our mind, known as the quadratic formula.

In this article, we will discuss this equation and quadratic formula in detail and put light on possible means to solve the equation for the value of x.

Now, let’s get started, a quadratic equation is a second degree polynomial equation, since the greatest power is a power of 2. A quadratic equation is expressed in algebra as any equation with the following form:

ax² + bx + c = 0

It is derived from a Latin word called quadratus; means square, because the variable x has a power of 2. In the above expression, x represents an unknown term, where a, b and c are simply numbers that are known. An important thing to consider is that if a≠0, if it is equal to zero, the equation would no longer remain quadratic, and it will become linear.

The numbers a, b and c are called the quadratic coefficients. Now, the equation can be solved using factoring or by completing the square method. We will focus on completing the square method which also gives us the quadratic formula.

Completing the square method:

Consider an example, solve x²+ 4x +2 = 0

Step 1: At first, move the number term to the right side.

x²+ 4x = -2

Step 2: Now, complete the square and add the same term to the right side to balance the equation.

Here, (b/2)²= (4/2)²= 4, Now add this term on both sides

The equation becomes; x² + 4x + 4 = -2 + 4

(x + 2)² = 2

Step 3: Take square root on both sides of the equation.

Now, x + 2 = ±√2 = x + 2 = ± 1.41

Step 4: In the end, subtract 2 from both sides, x= -3.41 or -0.59

Use of Quadratic formula:

We can also use the quadratic formula for the above mentioned example. The formula is derived using the same procedure of completing the square, and is expressed as:

X = -b ±√b² – 4ac / 2a

All you need to do is introduce the values of the three coefficients a, b and c and solve the equation for the value of x. Sometimes, it is better to go with the square completion method as in that method we are left with just one x in the end.

Use of online tool:

Well, there is one easy way out to solve these problems of equations, and that is to get assistance from an online tool. One such gizmo, available online is a quadratic formula calculator, it works on the same principle of the formula, the only difference is that it computes it quickly. This specially designed smart tool is well equipped to counter any quadratic problem.

All that is required is to feed it with the coefficient values; a, b and c. That’s it! You are all set. After understanding the concept and working on the formula, you should try an online derivative calculator.

Directional Derivative and Second Derivative are the types of differentiation. They are slightly different concepts, and their formulas are different. You can find the directional and second derivatives using an online directional derivative calculator and second derivative calculator.

In the end, all these methods work just fine and it’s up to you to select any of these techniques, depending on the time availability and interest. Good luck!

How to find Probability of an event?

Probability is the extent or likelihood of an event to happen. It can also be defined as a kind of ratio, where we focus on the chances of a certain outcome compared to all other possible outcomes. For instance, the possibility of getting a four when we roll a die? Now, if we consider the ratio aspect in mind;

Probability= P = Desired number of outcome/ All possible outcomes

Here, we know that a dice has 6 sides, so the possibility of getting a 4 is 1/6.

In this article we will discuss all the possible methods to deal with outcomes of an event.

When we talk about finding the probability of an event, we must know how to deal with dependent and independent events.

Independent Events:

The two events are considered independent, when the possible outcome of the first event has no impact on the outcome of the 2^nd event.

In order to calculate the end result of two independent events, we multiply the probability of first with that of the second event.

For example, if one has to find the possibility of getting 6 on rolling two dice:

Probability with two dice = 1/6 * 1/6 = 1/36

Dependent Events:

We say two events are dependent, if the outcome of one event has an effect on the outcome of another.

For example, the chances of getting 2 black cards from a deck of cards:

A deck consists of 52 cards in total, 26 red and 26 black cards, we will find it as;

P (black) = 26/52 = 1/2, now the chances of having a 2^nd black card are as follows:

P (2^nd black) = 25/51 (as one card was already drawn from the deck)

Now multiply both, P= 1/2 * 25/51 = 25/102

Methods of finding Probability:

There are many ways to calculate the possible outcome, some of these methods are listed below;

The classical one:

The method we discussed at the start is the classical way to calculate the probability. Here all the possible results are known, and there are exactly equal chances of getting each result. For instance, we mentioned the example of getting a four out of six possibilities in rolling a dice. It is as likely to get a four as one or any other number from 1 to 6.

The Relative Frequency:

This technique is utilized in that case, when we don’t have the advanced info of all other results or outcomes. Moreover, in cases where the likelihood of occurrence is different. It implies comparable statistics from a preceding but similar instance. An example of how the relative frequency technique would be applied; is a shop owner, placing orders based on the data of previous year’s deals or sales.

The Subjective Method:

This method is needed in those cases, where we don’t have the advanced knowledge of all the probable outcomes, all outcomes aren’t likely equal. Along with these situations, when we don’t even have prior statistical data. This technique is completely based on the opinions, previous exposures or experience, which is the reason why we call it the subjective method. After you are done with the predictions, you can always get better by refining the data and trying again.

Online Tools:

Last but not the least, giving digital technology a try. There are a bunch of online websites available, where you can find these gizmos. The best thing about these smart tools is the precision. If you want to get more accurate info, without wasting time on calculation, try tools such as Probability calculator. The Significant Figures are sometimes very tricky to calculate and observe, so an online Sig Fig Calculator would be very helpful in this regard.

In the end, I hope this article will assist you in understanding the core concepts of finding the probability. Good luck!

Here are some real life applications of limits

Ever heard of limits? No these are not those limits or restrictions that we know in general, these are the limits of calculus. The calculus students would be quite familiar with this term.

Now, for the beginners a limit is an integral part of calculus and it is defined as the value approached by a function or sequence as the index or input reaches close to some value.

Integration by parts calculator is an important concept in math and students must learn integration in order to top the exams. There are several integration calculators which one can find online for learning & practice.

Integrals are classified in two major classes, namely:

· Definite Integrals

· Indefinite Integrals

Definite integrals and indefinite integrals are slightly different concept and their formulas are different. You can find definite integrals and indefinite integrals by using online definite integration calculator and indefinite integration calculator.

A limit is usually expressed as:

In this notation as x approaches a number c, the function f(x) gets closer to L.

Now, let’s get to the applications of this calculus tool in daily life. Limits are not just restricted to calculus operations to define derivatives and integrals, but they also have a broad range of practical utility in physical sciences.

Examples of limits:

For instance, measuring the temperature of an ice cube sunk in a warm glass of water is a limit. Other examples, like measuring the strength of an electric, magnetic or gravitational field.

The real life limits are used any time, a real world application approaches a steady solution. One example of a limit is a chemical reaction started in a beaker in which two different compounds react to form a new compound. Now as time approaches infinity, the quantity of the new compound formed is a limit.

In the case of limits , when we relate it to infinity it means how the numbers behave as they are getting larger or a series, where new numbers are continuously added.

One of the major utilities of infinite limits is that it allows us to consider large complex functions and let us figure out which pieces of information are relevant. In other words it let us know, the part of information that contributes the most towards the answers. This allows us to simplify problems to solve them easily.

In the picture above, the artist mixes the limits between real life and the smartphone. Here, the artist approaches some degree of closeness to reality.

For a better understanding let’s just keep it simple. The simple example of limit is when we measure something, for instance, we measure the length of an object or a line drawn with a device such as a scale. Suppose the length was 20 cm but are we sure our measurement is exact, it may be 19.899 or it may be 20.011.

We get really close to measuring something with a device, if we are careful but we cannot achieve the exact measure. To declare something at a limit 20.014, we need a sequence of related measurements.

The concept of limit is important to recognize the real number system and its diverse attributes. In one view real numbers can be described as the numbers related to the limits of convergent sequences of rational numbers.

One concept is a derivative, it is a rate of change, and can be estimated based on limits .The limits are also vital for computing integrals (also called area expressions). This computes the complete area of a section by adding the sequence of infinite numbers divided into small parts.

These are some of the real world examples of the limits. Yet, it has a wide range of practical significance, which makes its calculation important to us. Now, how do we calculate it?

There are many ways like including the x value, by factoring etc. but the easy way out is to use an online tool. One such tool is an online limit calculator, an easy to use device available online. Just put the values of function and the value of limit to calculate it. Good luck!

All about combinations and permutations

The permutations and combinations are all about arranging the things in possible groupings. The elements are organized into subsets, the only difference between these two is the fact that permutation involves ordered arrangement of lists. On the other hand, combinations are used for sorting groups (where order isn’t necessary).

We will try to explain the difference using an example:

Assume an ordered arrangement of three brothers based on decreasing order of age; Ali, Faisal and Salman. Now, in this way it depicts the permutation (because of the age factor).

In case of combination, it doesn’t matter which comes first. It could be Faisal, Salman and Ali or we can write it as Salman, Ali and Faisal. In fact there are 6 possible combinations.

According to the above statement; a lock code that is commonly referred to as combination lock, isn’t really a combination, actually it is a permutation. Because, it involves a specific pattern or arrangement of numbers to open the lock.

Now, we will discuss these two in detail, and also devise ways to calculate these factors.

Permutations:

Let’s begin our journey with permutations, or all possible ways of doing something, keeping in mind the categorization or sequence of listing items.

For instance, we have to give 3 medals among a group of 10 students. The important thing is to keep track of the sequence. The sequence is A to J, how many ways to award 1st, 2^nd and 3^rd price among these ten participants?

To solve this, we will first break it down into three categories:

1.Gold ——– (A,B,C,D,E,F,G,H,I,J) assume that A got the first prize

2.Silver ——- (B,C,D,E,F,G,H,I,J) assume , B won the 2^nd prize, 8 are left

3. Bronze —— (C, D, E, F, G, H, I, J) last prize won by C.

We selected certain contestants to win, but the particulars aren’t important: the main point is we had 10 sets at the start, then 9 and in the end we were left with 7. Now, if we look at the total options, 10*9*8 = 720.

We started with 10 and then eliminated the top three prize holders one by one, until we ran out of awards. In this way we get rid of dealing with too many possibilities at a time.

Let’s look at the factorial:

10! = 10*9*8*7*6*5*4*3*2*1

Unluckily, it would result in too many options. We only need 10*9*8, Here, permutation is helpful. Note that we want to get rid of 7 factorials.

If we try this: 10! / (10 – 3)! (Because we eliminated 3 contestants by awarding medals).

10! / 7! = 10*9*8*7*6*5*4*3*2*1 / 7*6*5*4*3*2*1

= 10*9*8

This gives us the formula for permutation:

P (n, k) = n! / (n-k)!

Here, you have n that represents the number of items, and k denotes the number of ways to arrange those items. An online permutation calculator may be used to save a considerable amount of time in case you do not want to calculate permutations manually.

Combinations:

As we discussed earlier, combinations are easy to work with, you can arrange the items in groupings in any possible pattern.

The formula is expressed as: $\displaystyle{C(n,k) = \frac{P(n,k)}{k!}}$

If we apply this to the previous example, this formula will assist us in finding all the possibilities to select k people from n, and then divide by the k!

This gives us; $\displaystyle{C(n,k) = \frac{n!}{(n-k)!k!}}$

Now, from the previous example, we have to award three prizes, 3! = 6 variations for each choice we select. To find combinations, divide all the permutations by these variations. We had 720 permutations, divide it by 6, 720/6 = 120 options.We hope this article will help you in understanding the concepts and calculations of these combinations, which are useful in our daily life. If you are interested to find easy methods to compute the above said problem, try an online combination calculator.

The Downside Risk of How to Calculate Mole Fraction ?

The mole fraction formula is very simple to comprehend and use if you chance to be aware of the range of moles of each one of the solutes and the solvent. It’s possible for you to enter your chemical equation within this Partial pressure calculator and submit to understand the balanced equation. Although this calculator was tested, we aren’t able to guarantee the truth of its calculations or results. In spite of molality, the calculation is still a tiny complicated. Molar ratio may also be referred as mole-to-mole ratio. If you don’t pick that you’ve got to supply the density, you’d think that it’s an impossible question.