An experiment consists of tossing a fair die until 2 occurs 7 times. What is the probability that the process ends after exactly ten tosses with 2 occurring on the ninth and tenth tosses? (Round your answer to four decimal places.)

0.0004

Step-by-step explanation:

A fair die has 6 faces.

The probability of obtaining a 2  

The probability of a number other than 2

The experiment consists of tossing a fair die until 2 occurs 7 times.

Therefore, the probability that the process ends after exactly ten tosses with 2 occurring on the ninth and tenth tosses

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.