A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468
B. P(1st choice) = no of novels / total books = 3/6 = 1/2
P(2nd choice) = no of remaining novels/ total remaining books = 2/5
P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)
C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)
D. P(1st choice) = no of history books / total books = 1/6
P(2nd choice) = no of novels/ total remaining books = 3/5
P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)
3(a-b) and 3a-3b. Equivalent
2a(2+b) and 4ab. Not equivalent
Answer:
558
Step-by-step explanation:
(93) 6 =?
Bracket is treated as of or multiplication
(93)*6 = 558
10 runners ran fewer than 4 km
Answer:
Step-by-step explanation:
Let
Side of square base=x
Height of rectangular box=y
Area of square base=Area of top=
Area of one side face=
Cost of bottom=$9 per square ft
Cost of top=$5 square ft
Cost of sides=$4 per square ft
Total cost=$204
Volume of rectangular box=
Total cost=
Substitute the values of y
Differentiate w.r.t x
It takes positive because side length cannot be negative.
Again differentiate w.r. t x
Substitute the value
Hence, the volume of box is maximum at x=2.2 ft
Substitute the value of x
Greatest volume of box=
