Use the formula (zy)i<span> = (y</span>i<span> – ȳ) / s </span>y<span> and calculate a standardized value for each y</span>i<span>. Add the products from the last step together. Divide the sum from the previous step by n – 1, where n is the total number of points in our set of paired data. The result of all of this is the correlation coefficient </span>r<span>.</span>
The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.
<h3>What is function?</h3>
A expressions defining a connection between the independent variable and dependent variable is known as the functions.
A feature that:
The domain is defined as the set of all real numbers.
a single x-intercept
The amplitude is four.
The y-intercept is defined as (0,0)
Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:
Hence y = -4sin (x) and y = 4sin (x) has the given properties.
To learn more about the function refer to the link;
brainly.com/question/5245372
Mode, is very easy to understand.
You have a list of numbers; 1,2,3,4,5,5,4,5
You have the question, "What is the Mode for this list of numbers?"
First off, what is Mode?
Mode is the value (number) that appears most often in a set of data. That being said, go back to the list given above.
1,2,3,4,5,5,4,5
The numbers that appear most often is 4 and 5.
4 appears 2 times
5 appears 3 times
But, remember, Mode is the value that appears most OFTEN;
Thus, the Mode for this example is 5.
Use the horizontal line test.
If any 2 points along the curve of F(x) touch a horizontal line, then the inverse is NOT a function.
This is because if 2 points share the same 'y' value in F(x), then they would share the same 'x' values in the inverse function. This is not allowed for a function.
For the given curve, it passes the horizontal line test. Therefore the inverse IS a function.
She can serve 80 4-oz servings.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 16 ounces
1 quart = 2 pints = 2(16) = 32 ounces
1 gallon = 4 quarts = 4(32) = 128 ounces
2 1/2 gallons = 2.5(128) = 320 ounces
320 ounces/4 ounces per serving = 80 servings.
