The length of pendulum is 2.485 feet
<h3><u><em>
Solution:</em></u></h3>
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>

We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"

Substitute T = 1.75 seconds and 

Thus length of pendulum is 2.485 feet approximately
Answer:
mean=134.3
median=65.5
mode=60
Step-by-step explanation:
Mean is computing by adding the all data values and then divided by number of values
mean=sum of all values/number of values
There are 20 data values.
mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20
mean=2686/20
mean=134.3
For calculating median we arrange the data in ascending order
41 45 45 50 50 55 60 60 60 65 66 71 88 110 125 235 250 350 360 500
n/2=20/2=10 is an integer
So, the median is the average of n/2 and (n/2)+1 value
The median is average of 10th and 11th value
median=(65+66)/2
median=65.5
Mode is the most repeated value and we see that number of times the values are repeated are
45= 2 times
50= 2 times
60= 3 times
Thus, the most repeated value is 60 and it is the mode of data.
Mode=60
Answer:
It does not show variation
Step-by-step explanation:
Given

Required
Determine if there's direct variation between x and y
The general form of direct variation is:

Make y the subject of formula in the given parameters;


Compare
to 
<em>Since they are not of the same form, then the given equation do not show direct variation</em>