Find the missing angle and side measures of abc, given that a=25, c=90, and cb=16

Step-by-step explanation:

The given side is opposite the given acute angle in this right triangle, so the applicable relation is ...

  Sin(25°) = CB/AB

Solving for AB, we get ...

  AB = CB/sin(25°) ≈ 37.859

__

The relation involving the other leg of the triangle is ...

  Tan(25°) = CB/AC

Solving for AC, we get ...

  AC = CB/tan(25°) ≈ 34.312

__

Of course, the missing angle is the complement of angle A, so is 90-25 = 65 degrees.

the graph on the bottom right

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.