6c + 14 = -5c + 4 + 9c solve for c
2 answers:
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Answer:
Answer: 5/12 or approx. 0.42
Step-by-step explanation:
The ball will displace as much water as its volume.
Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.
Volume of a sphere:
The radius is half the diameter. The diameter of the sphere is 10, thus:
5^3 = 5*5*5 = 25*5 = 125
The volume of a cylinder, which will be the shape of the increase in water, is the following:
We know the radius r, as we know the diameter.
We are looking for the height of the cylinder, h, as that will be the height of the water rise.
Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:
We can get rid of pi by dividing both sides by pi:
And now divide both sides by 400:
Just reversing it and putting h to the left:
I see that I can divide both the numerator and the denominator by 4:
I'll now divide both the numerator and the denominator by 25 to simplify the expression:
Answer: The water rises by 5/12 (five twelfths).
If I want an approximate decimal answer, I can simply run this expression in a calculator:
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Let the price of 1 shirt be represented by = s
A pair of pants costs twice as much as a shirt, then the cost of pants is = 2s
The total cost of 1 pair of pants and 1 shirt is $18 , means :
Solving this we get,
So, the price of 1 shirt is $6 and price of 1 pair of pants is = 2s = 2*6 = $12.
Answer:
Step-by-step explanation:
(a)
The bid should be greater than $10,000 to get accepted by the seller. Let bid x be a continuous random variable that is uniformly distributed between
$10,000 and $15,000
The interval of the accepted bidding is , where b = $15000 and a = $10000.
The interval of the provided bidding is [$10,000,$12,000]. The probability is calculated as,
(b) The interval of the accepted bidding is [$10,000,$15,000], where b = $15,000 and a =$10,000. The interval of the given bidding is [$10,000,$14,000].
(c)
The amount that the customer bid to maximize the probability that the customer is getting the property is calculated as,
The interval of the accepted bidding is [$10,000,$15,000],
where b = $15,000 and a = $10,000. The interval of the given bidding is [$10,000,$15,000].
(d) The amount that the customer bid to maximize the probability that the customer is getting the property is $15,000, set by the seller. Another customer is willing to buy the property at $16,000.The bidding less than $16,000 getting considered as the minimum amount to get the property is $10,000.
The bidding amount less than $16,000 considered by the customers as the minimum amount to get the property is $10,000, and greater than $16,000 will depend on how useful the property is for the customer.