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Elza [17]
2 years ago
6

Find the area of each figure in square units. show your work and explain how you got the answer.​

Mathematics
1 answer:
AfilCa [17]2 years ago
8 0

Answer:

28 square units or 28 units^2

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

given y = kx

To find k use the x and y values of the coordinate point given (- 5, 3)

k = \frac{y}{x} = \frac{3}{-5} = - \frac{3}{5}

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If x*3=64, what is the value of x?
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x = 21.3 repeating. so put the - on top of the 3 if you're writing it down

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In a large population, 3% of the people are heroin users. A new drug test correctly identifies users 93% of the time and correct
kari74 [83]

Answer:

(a) The probability tree is shown below.

(b) The probability that a person who does not use heroin in this population tests positive is 0.10.

(c) The probability that a randomly chosen person from this population is a heroin user and tests positive is 0.0279.

(d) The probability that a randomly chosen person from this population tests positive is 0.1249.

(e) The probability that a person is heroin user given that he/she was tested positive is 0.2234.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person is a heroin user

<em>Y</em> = the test is correct.

Given:

P (X) = 0.03

P (Y|X) = 0.93

P (Y|X') = 0.99

(a)

The probability tree is shown below.

(b)

Compute the probability that a person who does not use heroin in this population tests positive as follows:

The event is denoted as (Y' | X').

Consider the tree diagram.

The value of P (Y' | X') is 0.10.

Thus, the probability that a person who does not use heroin in this population tests positive is 0.10.

(c)

Compute the probability that a randomly chosen person from this population is a heroin user and tests positive as follows:

P(X\cap Y)=P(Y|X)P(X)=0.93\times0.03=0.0279

Thus, the probability that a randomly chosen person from this population is a heroin user and tests positive is 0.0279.

(d)

Compute the probability that a randomly chosen person from this population tests positive as follows:

P (Positive) = P (Y|X)P(X) + P (Y'|X')P(X')

                  =(0.93\times0.03)+(0.10\times0.97)\\=0.1249

Thus, the probability that a randomly chosen person from this population tests positive is 0.1249.

(e)

Compute the probability that a person is heroin user given that he/she was tested positive as follows:

P(X|positive)=\frac{P(Y|X)P(X)}{P(positive)} =\frac{0.93\times0.03}{0.1249}= 0.2234

Thus, the probability that a person is heroin user given that he/she was tested positive is 0.2234.

6 0
3 years ago
An architect planned to construct two similar stone pyramid structures in a park. The
kondaur [170]

Answer:

1) Change the length of side AB to 2 feet

Step-by-step explanation:

Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.

To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

\frac{PR}{AC} = \frac{PQ}{AB}

We will assume AB is unknown.

PR = 7.5 ft

AC = 2.5 ft

PQ = 6 ft

Plug in the values into the equation

\frac{7.5}{2.5} = \frac{6}{AB}

Cross multiply

AB*7.5 = 6*2.5

AB*7.5 = 15

Divide both sides by 7.5

AB = 2

The architect should change the length of AB to 2 ft

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