5. Bob uses a 20-foot ladder to paint a section of his hours
that is 16 feet high. Select all the equations that can be
used to solve for 0.

Step-by-step explanation:

The 20-ft ladder is the hypotenuse here; the longer leg has length 16 ft, and the shorter leg can be represented by b (base).

Then, applying the Pythagorean Theorem,

20^2 = 16^2 + b^2, or

400 = 256 + b^2, or

144 = b^2.

Taking the square root of both sides, we get b = 12 ft.

The ratio of the base to the hypotenuse is the cosine of the triangle formed here.  Thus,

cos Ф = adj / hyp = 12 ft / 20 ft = 0.6

The angle that the ladder makes with the horizontal base is then

Ф = arccos 0.6, or 0.927 radian, or 53.1 degrees.

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step-by-step explanation:

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.