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AysviL [449]
3 years ago
13

the ratio of country albums to jazz albums in a music collection is 2:3 . if the music collection has 45 albums, how man are cou

ntry albums?
Mathematics
2 answers:
V125BC [204]3 years ago
4 0
I think it would be 18 because 2:3 times 9 is 27+18
bekas [8.4K]3 years ago
4 0
18 country and 27 jazz
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6x + 14 = 20<br> Show your work <br> Solve the equation
DIA [1.3K]

Answer:

X = 1

Step-by-step explanation:

subtract 14 from both sides

6x = 6

divide both sides by 7

X = 1

5 0
2 years ago
Read 2 more answers
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
A company has fixed operating costs of $2,137.00 per month with a production cost of $15.15 per unit. If each unit brings $33.09
vampirchik [111]
Y=2,137.00-(15.15*X)+(33.09*X)

Its simple arithmetic when you get down to it. The $2,137 won't change because it is the base rate per month, meaning even if they don't make any units they will still earn that much in the month. You subtract from that the cost to make a unit, in this case it is $15.15 per unit, so you multiply the cost by number of units to get the month's total costs. Then add the total month's profits by multiplying the number of units by the profits of one unit.
8 0
3 years ago
Type the equation that shows the pattern among this set of ordered pairs.
Ludmilka [50]
Line y=mx+b  has  point (0,b).
If you've got poind (0,4)  -  you can write, that b=4. 
So this is line y=mx+4 
Now slope.  You've got point (1,0), so  for x=1,  y=0.  Substitute:
m * 1 + 4 = 0 
m+4 = 0 
m=-4
So equation of this line is: y=-4x+4 

4 0
3 years ago
how can 12 people share 7 apples so that each apple is cut into equal pieces only and into no more than 4 pieces? It also must b
Afina-wow [57]

Answer:

1.75 or 1 3/4 pieces each

Step-by-step explanation:

3 pieces per apple x 7 = 21

21/12 = 1.75

5 0
3 years ago
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