Answer:
Step-by-step explanation:
Let us first generate the frequency table from the information given:
Hurricane number(X) Frequency(f) f(X)
6 9 54
8 13 104
12 16 192
14 12 168
Total ∑(f) = 50 ∑f(x) =518
In order to determine the last frequency (the remaining years), we will add the other frequencies and subtract the answer from 50, which is the total frequency (50 years). This is done as follows:
Let the last frequency be f
9 + 3 + 16 + f = 50
38 + f = 50
f = 50 - 38 = 12
Now, calculating mean:

Therefore mean number of hurricanes = 10.4 (to one decimal place)
We first start by finding the actual coordinates of the pre - image's point S.
Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:
The point's x coordiate is 4 to the left from the origin, or -4.
The point's y coordinate is 4 up from the origin, or 4.
So, the coordinates of Point S is (-4, 4).
Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:
(-4, 4) --> (-4, -4)
So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).
Answer:
C. Must be 1
Step-by-step explanation:
The correlation coefficient of an equation represents the relation between the two variable ( dependent and independent )
It lies between -1 to 1,
If an equation has strongly positive correlation then the value of correlation coefficient is 1,
If there is no relation then the value of correlation is 0,
If there is strongly negative relation then the value of correlation coefficient is -1,
Here, the equation is,
y = 2 + 3x
Since, the value of y is increasing with increasing the value of x,
We can say that there is strong positive relation between the variables x and y,
Hence, by the above statements,
The correlation coefficient between y and x in this data set must be 1.
Option 'C' is correct.
Answer:
P00sy talented, it do cartwheels
Step-by-step explanation: