Sydney has index cards numbered 1 through 10 and determines that the probability of drawing a 4 is 3 out of 10. If she draws cards 100 times, how many times can she expect to draw a 4?

30 times

Step-by-step explanation:

In this problem, we are going to find the probability of obtaining/drawing a 4 after 100 trials

Given that the probability of drawing a 4 out of 10 trials  is 3/10

therefore the probability of drawing a 4 out of after 100 trials

= (3/10)*100

= 3*10

= 30

Hence the probability of drawing 4 after 100 trials are 30 times

 

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 )