Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object with its height. Find the constant of variation

The answer is below

Step-by-step explanation:

Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object varies directly with its height. a) Find the constant of variation b) find the height of the tree

Solution:

a) Let y represent the length of an object and x represent the height of the object. Given that y ∝ x. Let k be the constant of variation, therefore the relationship between y and x is:

y = kx

y = 2 ft 2 in = 13/6 ft (1 ft = 12 in)

x = 6 ft

Substituting gives:

13/6 = k(6)

k = 13/6 ÷ 6

k = 13/36

b) y = (13/36)x

Given that y = 8ft 4 in = 25/3 ft

Substituting:

y = (13/36)x

25/3 = (13/36)x

x = 25/3 ÷ (13/36)

x= 300/13 ft ≈ 23 ft

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.  

70.30

step-by-step explanation: