Answer:
The probability that a randomly selected consumer will recognize Amazon is 0.988.
Step-by-step explanation:
The data given in the question is
Total number of consumers = 795 + 10 = 805
Consumers who knew of Amazon = 795
Consumers who did not know of Amazon = 10
The formula for calculating probability of an event A is:
P(A) = No. of favourable outcomes/Total no. of possible outcomes
P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers
P(Recognize Amazon) = 795/805
= 0.98757
P(Recognize Amazon) ≅ 0.988
The probability that a randomly selected consumer will recognize Amazon is 0.988.
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54
Just keep adding 1/6 to the given term and that should help you figure out the rule.
8160 dived by 85 equals 96, 2880 divided by 30 equals 96, therefore she can make 96 necklaces
Since 6x6 equals 36, then 6² would be the exponent because 6² is the same as 6x6