Heights of men in the United States are approximately normally distributed
with a mean of 70 inches and a standard deviation of 2.5 inches.
Part A: What is the probability that a randomly selected man will be taller than 75 inches?

Part B: According to our information, is 75 unusually tall for a man?

a. P(X>75)=0.02275

b. Yes

Step-by-step explanation:

Given that the mean is 70 inches and the standard deviation is 2.5 inches.

-the probability that a random selection has a height greater than 75 inches is calculated as:

Hence, the probability of a random being taller than 75 inches is 0.02275

b. Based on the above information, 75 inches is unusually tall since it has a deviation of 2.5 inches more than the standard deviation.

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.

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925