The height, h metres, of a springboard diver above the surface of the water t seconds after she leaves the board is given by h=-5t-12+7. Find the maximum height reached by the diver? How long does it take for the diver to reach maximum height? Find the height of the diving board?

The height of the diver is 7m

Step-by-step explanation:

Given

Solving (a): The maximum height reached

First, we calculate the time to reach the maximum height using:

--- maximum of a function

Where

So, we have:

So, the maximum height is:

Hence:

Solving (b): Time to reach maximum height

This has been calculated in (a)

Solving (c): Height of the board.

This can be calculated by setting --- i.e. the height of the diver before diving

So, we have:

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.  

dont think so

step-by-step explanation: