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Leto [7]
2 years ago
11

Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the

polynomial in standard form.
10-3x²+x^5 + 4x³

Mathematics
1 answer:
Bond [772]2 years ago
6 0

Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

{x}^{5}   + 4 {x}^{3}  - 3 {x}^{2}  + 10

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

k \times  {x}^{0}

For example, 10 is represented like

10 \times  {x}^{0}

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form

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g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose
Nuetrik [128]

Answer:

We assume that we have a fair coin that is p(Head)=p(Tails)=0.5

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

X \sim Binom(n=20, p=0.5)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

We assume that we have a fair coin that is p(Head)=p(Tails)=0.5

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

X \sim Binom(n=20, p=0.5)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

3 0
3 years ago
How many square inches in a foot
Cloud [144]

Answer:

There are 144 square inches in a square foot.

Step-by-step explanation:

A square foot is a square that is 1 foot by 1 foot. Since there are 12 inches in 1 foot, and to get the area you need to multiple 2 adjacent sides together, you do 12 times 12 which is 144 square inches. Many people have the misconception that a square foot has 12 square inches, but this is wrong since a square foot has dimensions of 12 inches by 12 inches, but when you multiply them together, you can see that the answer is actually 144.

5 0
3 years ago
In this unit, you studied a handful of circle theorems. Research to find a circle theorem that wasn’t presented in this unit and
devlian [24]

The angle at the center of the circle is twice the angle at the circumference.

<h3>What is Circle Theorem?</h3>

The angle in a semicircle is a right angle. Angles that are in the same segment are equal.

As by theorem,

angle in a semicircle is a right angle. Angles that are in the same segment are equal.

Also, opposite angle in a cyclic quadrilateral sums to 180° and the angle between the chord and  tangent is also equal to the angle in the alternate segment.

Learn more about circles here:

brainly.com/question/24375372

#SPJ1

6 0
2 years ago
How many minutes of news would the disc jockey have to play for every 60minutes of music
faust18 [17]
The same with this question you divide 60 by 6 and you get 5
3 0
3 years ago
Val returned a bicycle while she was on vacation. She paid a flat rental fee of $55.00 plus $8.50 each day. The total cost was $
never [62]

Number of days Val rented the bicycle is 8

<h3><u>Solution:</u></h3>

Given that val paid a flat rental fee of $55.00 plus $8.50 each day

The total cost was $123

To find: number of days she rented the bicycle

Let "a" be the number of days she rented the bicycle

Rental fee = $55.00

Fee for one day = $ 8.50

So total cost is equal to rental fee and fee for "a" days

Total cost = rental fee + (number of days she rented the bicycle x Fee for one day)

123 = 55.00 + (a \times 8.50)

123 = 55 + 8.50a

123 - 55 = 8.50a

8.50a = 68

a = \frac{68}{8.50} = 8

Thus number of days she rented the bicycle is 8

4 0
3 years ago
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