In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)? (Images may not be drawn to scale.)

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.:

Sample size:

Mean:

Standard deviation =

Let x represent a binomial variable.

Referencing the standard normal distribution table,

(1)

Z score for normal distribution:-

For x=4

For x=3

Thus, from (1)

Consequently, the likelihood of four students being absent =

Answer:

Upon solving for y, we find:

By substitution, we have:

Thus, we arrive at:

And for x, we determine:

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

Here, x denotes the length and y the width. The following conditions can be established:

Substituting these values yields:

When we solve for y, we find:

By substitution, we obtain:

Thus, we conclude:

The length is found to be 76, while the width measures 12.5.