The system of equations has infinite solutions.
<h2>Given to us,</h2>The value of y is already given in equation 1,
substituting the value of y in equation 2,
The solution of the two equations is 0. Also, we can see that both the equations are in ratio.
Further, the image also shows that the line of the two equations are coinciding.
Hence, the system of equations has infinite solutions.
Learn more about System of solutions:
Answer:
a)
b)
c)
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:
a. What are the mean and variance of the sampling distribution for the sample means?
b. What is the probability that x overbarxgreater than>101
First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:
If we apply this formula to our probability we got this:
And we want to find this probability:
On this last step we use the complement rule.
c. What is the probability that x bar 98less than
First we can to find the z score for the value of 98.
And we want to find this probability:
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
Given
r=3,m=216
Putting the values
The equation will now become
Putting r = 5
Hence,
The value of m is 1000 for r=5