A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
a.) 111
b.) 125
c.) 143
d.) 250

The number of times a 4 will be drawn from the pile is 125.

Option b) 125 is the correct answer.

Step-by-step explanation:

The pile contains 8 cards with numbers from 1 to 8 in it.The possibility to take 4 from (1,2,3,4,5,6,7,8) is only 1 time.The total possible outcomes are 1,2,3,4,5,6,7,8 = 8 outcomes.

Probability = Required outcome / total outcomes

⇒ Probability for a trail = 1/8

⇒ Probability for 1000 trails = (1/8)1000 = 125

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )