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3 years ago

4x+2y=20 and 3x-y=10 Which coordinate solves both equations.

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

7 0

4x + 2y = 20

3x - y = 10

Multiplying second equation by 2.

6x - 2y = 20

Adding to the first,

10x = 40

x = 4

y = 3x - 10 = 3(4) - 10 = 2

Answer: (4, 2)

Check:

4(4) + 2(2) = 16+4 = 20, good

3(4) - 2 = 12 - 2 = 10, good

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What is 2/9 divide 9/10=

Ipatiy [6.2K]

To divide fractions:

Flip the second fraction

Multiply the numerators

Multiply the denominators

Simplify

2/9*10/9

2*10=20

9*9=81

20/81

Hope this helps!!

6 0

3 years ago

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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

Domain and range of: s={(-9,6),(5,6),(-3,0)}

dem82 [27]

Answer:

domain={-9,5,-3}

range={6,0}

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -

Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

x + y = 9

2x - 3y = 8.

Let's solve this system by elimination. Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y = 8

-------------------

5x = 35, so that x = 7. Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).

6 0

3 years ago

How do you turn -8/9 into a decimal and percent?

monitta

You need to divide the numerator by the denominator so it should be 8 divided by 9 to turn it into a percent multiply the decimal you get by 100. Hope this helps!

8 0

3 years ago

Read 2 more answers