Consider the given probability histogram of a binomial random variable. A histogram titled binomial random variable (n = 10, p = 0.8) has x on the x-axis and probability on the y-axis. 4, 0.01; 5, 0.03; 6, 0.19; 7, 0.02; 8, 0.3; 9, 0.28; 10, 0.1.

What are the center and shape of the distribution?

Center: 7
Shape: approximately Normal
Center: 7
Shape: skewed left
Center: 8
Shape: approximately Normal
Center: 8
Shape: skewed left

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte

(c) a vine called the mile-a-minute weed is known for growing at a very fast rate. it can grow up to 0.5 ft per day. how fast in inches per hour can the mile-a-minute weed grow up to? show your work using the correct conversion factors.

Chosen according to the volume of oil it can haul, as shown in at a railway yard, locomotives are used to haul containers carrying the table. locomotive capacity a450 0 -750 cubic feet cg35 750-1,500 cubic feet br73 1,500-2,500 cubic feet yh61 2,500-3,500 cubic feet & the four cylindrical containers listed in the table need to be hauled. cylinder length (ft.) diameter (ft.) fill level a 40 , 12 half b 24 8 full c 16 16 full 6 12 full d match each container to the locomotive needed to haulit a450 cylinder a yh61 cylinder d