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3 years ago

NEED ANSWER ASAP- FOR FINALS

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

Width - 12ft Length - 30ft

Step-by-step explanation:

Width is 12ft

Length is 30ft

Depth is 6ft

The length, 30ft, is 2.5 times longer than the width which is 12 ft which confirms the two dimensions to be correct.

When you multiply all three of the dimensions of the swimming pool you will get 2940 cubic feet

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The area of the rectangle below is ___sq. units.

iren2701 [21]

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3 years ago

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

Elodia [21]

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.

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3 years ago

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Hunter-Best [27]

Answer:

385-13x

Step-by-step explanation:

that is my answer

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Look at the first line: y = (3/5)x - 3. What happens if you multiply each term by 5, to eliminate the fraction?

5y = 3x - 3

Compare this to the second equation,

5y - 3x = -10, or 5y = 3x - 10.

The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line. Since 5y = 3x is present in both equations, the two lines MUST be parallel.

y = 4
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Answer:

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Step-by-step explanation:

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