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Makovka662 [10]
3 years ago
8

Which answer correctly shows how to find the mean of the {3,6,9,12,15} data set?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0

Answer:

9

Step-by-step explanation:

1. mean = sum of all data values divided by total number of data values

\frac{3+6+9+12+15}{5} = \frac{45}{5} = 9

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In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha
mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0
3 years ago
Macy bought a total of 12 fiction and non-fiction books. The fiction books cost $12 each and the
Masja [62]

Answer:

fiction books = 4

non fiction books = 8

non fiction books are twice fiction books.

Step-by-step explanation:

let number of fiction books be X so

non fiction books will be 12-X

12X + 25(12-X) = 248

12X -25X = -53

X = 4( fiction books)

12-4 = 8 (non fiction)

4 0
2 years ago
Which expressions are equivalent to 5(1/3x+7)-3(1/2x-4)? Select three options. (There’s a picture)
Otrada [13]

3rd option

Step-by-step explanation:

solve and simplify to find

7 0
3 years ago
PLEASE HELP ASAP
Svetlanka [38]
Members: 3x + 20
Nonmembers: 5x
5x  =  3x + 20 \\ 5x - 3x = 3x - 3x + 20 \\ 2x = 20 \\ 2x \div 2 = 20 \div 2 \\ x = 10 \: classes
Hope this helped!!
5 0
3 years ago
Which describes the solution of a system of equations for two lines with the same slope and the same y-intercepts?
olganol [36]
The answer is B. Infinitely many solutions.  <span />
8 0
3 years ago
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