+7 = −12 What is X in this equation?
1 answer:
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A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is C.
<h3>What is a graph?</h3>A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given question is attached below.
As it can be seen that the y-axis shown the distance between Eli's location and his home, since the distance is starting to decrease when the time is 120 seconds, therefore, it can be concluded that Eli rode his bicycle home from the library.
Hence, the correct option is C.
Learn more about Graph:
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Answer:
f'(x) = 5x^4 + 2x + 3x^2
Step-by-step explanation:
To find the derivative of this equation we can do two things.
One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.
it might be clearer when I show you:
If you are not familiar with this rule you can first write out the function and then use the basic rule:
If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still
Answer:
The 95% confidence interval would be given by
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
represent the sample mean 1
represent the sample mean 2
n1=5 represent the sample 1 size
n2=2 represent the sample 2 size
sample standard deviation for sample 1
sample standard deviation for sample 2
parameter of interest.
Confidence interval
The confidence interval for the difference of means is given by the following formula:
(1)
The point of estimate for is just given by:
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that
The standard error is given by the following formula:
And replacing we have:
Confidence interval
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by