In a class of 8, there are 3 students who have done their homework. if the teacher chooses 2 students, what is the probability that both of them have done their homework?

Step-by-step explanation:

The probability that both of them have done their homework is .

Step-by-step explanation:

Consider the provided information.

In a class of 8, there are 3 students who have done their homework.

2 students chosen and we need to find the probability that both of them have done their homework.

The probability that first student have done their homework is:

The probability that second student have done their homework is:

Now the probability that both of them have done their homework is:

Hence, the probability that both of them have done their homework is .

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).