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Trava [24]
3 years ago
15

The members of a club hire a bus for $2100.seven members withdraw from the club and the remaining members have to pay $10 more e

ach to cover the cost. How many members originally agreed to go on the bus?
Mathematics
1 answer:
dlinn [17]3 years ago
5 0
42 members originally agreed to go on the bus.
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What is the distance of this line?<br><br>Which is the right answer? ​
Shtirlitz [24]

Answer:

Step-by-step explanation:

We can use the distance formula derived from the Pythagorean theorem

D = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

the two points given are

(0, 3) and (-2, -3)

(x_2-x_1) = (0-(-2)) = 2\\(y_2-y_1) = (3-(-3)) = 6\\D = \sqrt{(2)^2 + (6)^2} \\D = \sqrt{4 + 36} \\D = \sqrt{40} = 6.324

6 0
2 years ago
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
???? thank you so much
Y_Kistochka [10]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
a new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is
nexus9112 [7]
111 parking spots. 15x32 = 480 480 divided by 4 is 120 and 120 - 9 = 111
5 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!!!!
JulijaS [17]

Answer:

Negative

Step-by-step explanation:

Slope is negative since as x increases, y decreases.

4 0
2 years ago
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