An aspiring engineer wants to build a timer by taking a glass cylinder, filling it with water, suspending it in the air, and cutting a small hole in the bottom. he notes that at 1 p. m., the cylinder is 80% full, and at 2 p. m., it is 65% full. draw a graph expressing this and interpret the meaning of the y-intercept.

y axis denotes the level of water in cylinder

x axis denotes the time

Step-by-step explanation:

Given : At 1 p.m. cylinder is 80% full i.e. 0.80.

           At 2 p.m. cylinder is 65% full i.e. 0.65.

Solution :

time(x) :        1                    2

level (y) :      0.80            0.65

Using these points we can plot the graph (refer the attached figure)

In the figure y axis denotes the level of water in cylinder

x axis denotes the time

We can also find the equation of the graph by using two point slope form :

 ---a

Where m is the slope

Since  

Thus  slope (m) =

Now putting values in equation a

Thus the required equation of the situation or the graph is

THE GRAPH IS ATTACHED AND Y INTERCEPT DENOTES THE LEVEL OF WATER

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500