Hanna has 25 movies. 10 are comedies, 6 are dramas, and 9 are animated. If she chooses 3 at random, what is the probability that she will choose: 1. 3 comedies:
2. 3 animated:
3. 2 dramas and 1 comedy
4. 1 comedy, 1 drama, and 1 animated

The triangles are similar. what is the value of x? show your work.

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

George writes the mixed number as sum and uses the distributive property 1/2.-2/5=1/2-2+2/5=1/2