Answer:
5,000
Step-by-step explanation:
When a number is 5 or above, you would round up. When it is below 4 or below, you round down.
Since 5,182 the 1 is below 1, 5 would remain the same.
Answer:


Step-by-step explanation:
Given
See attachment for triangles
Solving (a)

The tan of an angle is:

From the given triangle.


So, we have:

Solving (b)

The cos of an angle is:

From the given triangle.


So, we have:

Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

The formula to compute covariance is:

The formula to compute the variances are:

Consider the table attached below.
Compute the covariance as follows:


Thus, the covariance is 75.
Compute the variance of X and Y as follows:

Compute the correlation coefficient as follows:



Thus, the Pearson's coefficient of correlation between the is 0.700.
Answer:
D
Step-by-step explanation:
The first graph curves down
The second graph is not symmetrical on the y axis
The third graph is much higher than the picture
For this case we must simplify the following expression:

We eliminate the parentheses taking into account that:

We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

Answer:
