Hi there!

To solve, we can use right triangle trig.
We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:
tan (A) = O / A
tan (33) = 25 / x
Solve:
x · tan(33) = 25
x = 38.49 ≈ 38.5
Answer:
{x | x ≤ -8}
Step-by-step explanation:
-7x ≥ 56
Divide each side by -7, remembering to flip the inequality since we are dividing by a negative
-7x/-7 ≤ 56/-7
x ≤ -8
Answer:
The amount of unexplained variance in a relationship between two variables is called: coefficient of alienation also called coefficient of nondetermination. A positive correlation between two variables would be represented in a scatterplot as. line sloping upwards. .
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
See attachment
Required
The area of the semicircle
First, we calculate the hypotenuse (h) of the triangle
Considering only the triangle, we have:
--- cosine formula
Make h the subject



The area of the semicircle is then calculated as:

This gives:



Answer:
The median is 6. The Mean Absolute Deviation is 1.88. The range is 10. I believe the IQR is 5.
Step-by-step explanation:
the median is just the number that falls in the center of a data set. The Mean Absolute Deviation is the distance of the data points from the mean. So, find the sum of the differences of each data point from the mean and divide it by the number of data points. Range is the difference between the smallest and largest values in a data set. The interquartile range is the middle of the data. it is a measure of how widely the middle half of the data is spread around the median.