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Trava [24]
3 years ago
10

an oil company uses cylindrical storage tanks. each tank has a radius of 14ft and is 27ft fall. what is the volume of the tank?

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

378

Step-by-step explanation:

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Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quad
aleksley [76]

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

5 0
3 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in​ bonds
NikAS [45]

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

7 0
2 years ago
Suppose that 8% of the general population has a disease and that the test for the diesease is accurate 70% of the time. What is
balu736 [363]

Answer:

P = 0.332

Step-by-step explanation:

The probability of having the disease is 0.08

The probability that the test predicts with accuracy is 0.7.

We need to find the probability that the test positive for the disease.

Several cases may occur.

Case 1.

You have the disease and the test predicts it accurately

P_1 = 0.08(0.7) = 0.056

Case 2

You do not have the disease and the test predicts that you have it

P_2 = 0.92(0.3) = 0.276

Then the probability that the test predicts that you have the disease is the union of both probabilities P1 and P2

P = P_1 + P_2\\\\P = 0.056 + 0.276\\\\P = 0.332

8 0
3 years ago
Look at the image for the question:
Alexxx [7]

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

  • te
  • tm
  • m-e
  • t
6 0
2 years ago
If A and B are independent events and P(A) and P(B) are both greater than 1/2
elixir [45]

Answer:

P(A and B) is greater than 1 is never happened ⇒ C

Step-by-step explanation:

Two events are independent if the result of the second event is not  affected by the result of the first event

If A and B are independent events, the probability of both events  is the product of the probabilities of the both events  P (A and B) = P(A) · P(B)

∵ The probability of any event is less than 1

∵ P(A) < 1

∵ P(A) > \frac{1}{2}

- That means P(A) is greater than half and less than 1

∴ \frac{1}{2} < P(A) < 1

∵ P(B) < 1

∵ P(B) > \frac{1}{2}

- That means P(B) is greater than half and less than 1

∴ \frac{1}{2} < P(B) < 1

∵ P(A and B) = P(A) . P(B)

- Remember the product of any fractions less than 1 is less than 1

∴ \frac{1}{4} < P(A) . P(B) < 1

- That means any expression equals to P(A) . P(B) must be greater

   than \frac{1}{4} and less than 1

∴ \frac{1}{4} < P(A and B) < 1

∴ P(A and B) is greater than 1 is never happened

7 0
3 years ago
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