All categories

3 years ago

For the graph shown, select the statement that best represents the given system of equations.

Mathematics

2 answers:

Step2247 [10]3 years ago

8 0

Answer: The statement 'C. Consistent and independent' best represents the given system of equation.

Step-by-step explanation:

If a system of equations has at least one solution then it is called consistent while if it does not have any solution then it is called inconsistent.

The consistent system further divides into two types,

Independent : If a consistent system has exactly one solution.

Dependent : If a consistent system has infinitely many solutions.

Here, the given system of equations,

5y - 7x = 10,

3y + 4x = 6,

Since, by solving these equations,

We get, x = 0 and y = 2,

Hence, the solution of the given system of equations is (0,2) ( also shown in the graph )

By the above definition,

⇒ It is an independent consistent system.

⇒ Option C is correct.

Marina86 [1]3 years ago

4 0

The answer is C.<span>consistent and independent</span>

You might be interested in

F(x) = 2x3 + 7x2 – 4x – 5

qaws [65]

Answer:

Its 3

Step-by-step explanation:

7 0

3 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

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:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

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".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

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:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

What is 80.89 divided by 8.425?

umka2103 [35]

Answer:

9.60 or 9.601 if you want the hundreths place

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Factor by Grouping:<br> 8x²+12x+2xy+3y

Yuliya22 [10]

Answer:

(2x +3) (4x +y)

Step-by-step explanation:

refer the image

3 0

2 years ago

If g(x)= x=2 and h(x) = 4 - X, what is the value of (gºh)(-3)?

navik [9.2K]

The required value of (g°h)(-3) is 5.

Step-by-step explanation:

Given,

g(x)= x-2 and h(x) = 4 - x

To find (g°h)(-3)

Now,

(g°h)(x) = g(h(x))

= g(4-x)

= (4-x)-2 = 2-x

So,

(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]

8 0

3 years ago