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Naddika [18.5K]
3 years ago
15

A rectangular tank is 39feet long, 25 feet wide 18 feet high there is 11 feet of water in the tank if a valve is open at the bot

tom it take 3.8 minutes for the tank to empty. What is the velocity in ft/m
Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

1596.2 ft/m

Step-by-step explanation:

<u>Data</u>

  • height of water, h = 11 ft
  • acceleration of gravity, g = 32.17 ft/s²

Given that 60 seconds are equivalent to 1 minute:

g = 32.17 ft/s² * 60² s²/1 min² = 115812 ft/min²

From Bernoulli's theorem:

velocity = √(2gh)

velocity = √(2*115812*11)

velocity = 1596.2 ft/m

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Answer: e + 11

Step-by-step explanation:

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A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect
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Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

The information provided is:

P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99

Compute the probability that a person does not have the disease as follows:

P(D^{c})=1-P(D)=1-0.88=0.12

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188

Compute the probability that a randomly selected person is tested negative  as follows:

P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})

           =0.0264+0.1188\\=0.1452

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

4 0
3 years ago
How do you solve g= y-c+x for x
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Subtract y from both sides
g+c-y= x
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