X is a normally distributed random variable with mean 67 and standard deviation 17. What is the probability that X is between 50 and 84?

0.68

Step-by-step explanation:

Given :

Mean = 67

Standard deviation = 17

Probability that X is between 50 and 84

According to the empirical rule :

1 standard deviation from the mean = 68%

2 standard deviations from the mean = 95%

3 standard deviations from the mean = 99.7%

Evaluating the number of standard deviations from the mean:

50 = 67 - 17 = 1 standard deviation

84 = 67 + 17 = 1 standard deviation

Hence ;

50 < X < 84 is 1 standard deviation from the mean which is 68%

Hence, Probability that x is between 50 and 84 is 0.68

72 is the answer to this problem

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.