Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box. She picked one letter at random, put the card back, and then repeated the experiment. If she performed this experiment 90 times, which is the best prediction for the number of times that Sonya would pick a T?

20

Step-by-step explanation:

Given, Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box.

Total letters = 9

Number of times T appeared = 2

Thus, if we pick one card , the probability of getting card with T would be :-

If she performed this experiment 90 times, then the best prediction for the number of times that Sonya would pick a T would be :

90 x ( probability of getting card with T)

Hence, the the best prediction for the number of times that Sonya would pick a T = 20.

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.

12

step-by-step explanation: