Let x be a random variable representing the price of a Congo-imported black diamond. Let the higher price be p. Then,
P(x < p) = P(x < (p - mean)/sd) = P(x < (p - 60,430)/21,958.08) = P(z < 2)
Therefore,
(p - 60,430)/21,958.08 = 2
p - 60,430 = 2 x 21,958.08 = 43,916.16
p = 34,916.16 + 60,430 = 104.346.16
Therefore, The required price is $104,346.16
2 gallons * $2.58 per gallon = $5.16 expenses (total spent)
2 gallons * 16 cups = 32 total servings
32 cups * $0.75 per cup = $24 gross revenue (total income)
$24 - $5.16 = $19.84 net revenue (profit)
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The volume of the large cylinder will be twice the volume of the small cylinder.
<u>Step-by-step explanation:</u>
Let the radius of the cylinder be 'r'
Let the height of the cylinder be'h'
Volume of the small cylinder=π r² h
Volume of the large cylinder= π r² (2h)
Volume of large cylinder/volume of small cylinder= 2/1
The large cylinder volume is twice the volume of the small cylinder.
The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any , so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so