I NEED HELP PLEASE, THANKS! :) Makya was conducting a physics experiment. He rolled a ball down a ramp and calculated the distance covered by the ball at different times. The ball rolled a distance of 1 foot during the first second, 3 feet during the next second, and so on. If the distances the ball rolled down the ramp each second form an arithmetic sequence, determine the distance the ball rolled down during the fifteenth second. (Show work)

Hey there! :)

f(15) = 29 ft.

Step-by-step explanation:

We can write an arithmatic equation for this pattern:

Where:

= 1, = 3

Find the rate of change. This is constant because this is an arithmatic sequence.

3 - 1 = 2.

We can begin to write an explicit function for this situation:

f(n) = + d(n-1) where d is the rate of change:

f(n) = 1 + 2(n-1)

Substitute 15 for n to solve for the distance traveled after 15 seconds:

f(15) = 1 + 2(15-1)

f(15) = 1 + 2(14)

f(15) = 1 + 28

f(15) = 29 ft.

Therefore, the distance traveled after 15 seconds is 29 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.  

there is no question content here, but you for the free points! : d