In a pet shelter for cats only, there were 45 black cats, 30 long-haired cats, and 30 cats who were old (> 10 years old). For this study, cats in the shelter were classified as black/not-black, young/old, and long-haired/short-haired. 12 cats were black, young and long-haired, 10 were black, short-haired and old, 5 were black, long-haired and old, and none of the cats were long-haired, non-black and old.

a. How many total cats were in this shelter (i. e., how many cats were black or long-haired or old)?

b. How many cats were black, short-haired, and young?

c. How many cats were long-haired, not-black, and young?

d. How many cats were short-haired, not-black, and old?

Note: Define your events first (cat is black, cat is long-haired, and cat is old), and show your work using equations or Venn diagrams.

Blank × 10-3 is 2,000 times greater than 1.9 × 10-6. it is also blank times greater than 9.5 × 10-4.

About 60% of the normal humanbeing's body weight is composed ofwater. how much of a 125 poundperson is water weight? f 72 pounds h 76 poundsg 75 pounds i 80 pounds

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.