In a statistics class of 44 students, there were 15 men and 29 women. Four of the men and five of the women received an A in the course. A student is chosen at random from the class. (a) Find the probability that the student is a woman. (b) Find the probability that the student received an A. (c) Find the probability that the student is a woman or received an A. (d) Find the probability that the student did not receive an A.

(a) The probability that the student is a woman is 0.6591.

(b) The probability that the student received an A is 0.2045.

(c) The probability that a student selected is a woman or received an A is 0.75.

(d) The probability that a student did not receive an A is 0.7955.

Step-by-step explanation:

The total number of students in the class is, N = 44.

The number of men, n (M) = 15.

The number of women, n (W) = 29.

The number of men who receive an A is, n (M ∩ A) = 4.

The number of women who receive an A is, n (W ∩ A) = 5.

The number of students who received an A, n (A) = 9.

(a)

The probability that a randomly selected students is a woman is:

Thus, the probability that the student is a woman is 0.6591.

(b)

The probability that a randomly selected student received an A is:

Thus, the probability that the student received an A is 0.2045.

(c)

The probability that a student selected is a woman or received an A is:

Thus, the probability that a student selected is a woman or received an A is 0.75.

(d)

The probability that a student did not receive an A is:

Thus, the probability that a student did not receive an A is 0.7955.

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.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: