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4 years ago

Conditional Probability

Mathematics

2 answers:

PilotLPTM [1.2K]4 years ago

7 0

Answer:

Step-by-step explanation:

Total number of persons = 37

Number of girl and sophomore= 9

Prob(girl/sophomore) = 9/37

Alja [10]4 years ago

3 0

Yo sup??

P(A|B)=P(A∩B)/P(B)

P(A∩B)=probability of finding a girl and is sophomore

P(B)=probability of finding a sophomore

P(A|B)=9/10

Hope this helps.

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The drama club is selling tickets to their play to raise money for the show's expenses. They are selling both adult tickets and

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

0 ≤ aa+ss ≤ 100

5 0

3 years ago

Let p and q be rational. Prove that p+q is rational

Contact [7]

Let p and q rational numbers (what does it means?), then, p and q coul be written as

$p = \frac{a}{b},a, b \in \mathbb{Z}, b \neq 0\\\\q = \frac{c}{d}, c,d \in \mathbb{Z}, d \neq 0$

then,

$p +q = \frac{a}{b} + \frac{c}{d} = \frac{ad +bc}{bd}$

and we know that ad+bc is an integer, so, p +q is a rational number.

4 0

3 years ago

What is the radius of a circle with an area of 28.26 square feet

Svetlanka [38]

Answer:

The radius is 3 square feet.

(Working is shown in the picture)

6 0

3 years ago

Professor Liu gave the same quiz to the students in her morning class and in her afternoon class. The average (arithmetic mean)

natka813 [3]

Answer:

Afternoon class has more students.

Step-by-step explanation:

Let m be the number of students in the morning class and n be the number of students in the afternoon class.

The average score for the students in the morning class was 80, then the sum of their scores is $80m.$

The average score for the students in the afternoon class was 86, then the sum of their scores is $86n.$

The sum of the scores of both classes is

$80m+86n$

and the average score is

$\dfrac{80m+86n}{m+n}$

The average (arithmetic mean) score for the two classes combined was 84, then

$\dfrac{80m+86n}{m+n}=84\\ \\ 80m+86n=84m+84n\\ \\86n-84n=84m-80m\\ \\2n=4m\\ \\n=2m$

This means n is greater, so afternoon class has more students.

7 0

3 years ago

A theatre group sold a total of 440 tickets for a show, making a total of $3940. Each regular ticket cost $5, each premium ticke

valentina_108 [34]

Answer: 330 regular tickets, 46 premium tickets and 64 elite tickets were sold.

Step-by-step explanation:

Let x represent the number of regular tickets that were sold.

Let y represent the number of premium tickets that were sold.

Let z represent the number of elite tickets that were sold.

The theatre group sold a total of 440 tickets for the show. It means that

x + y + z = 440- - - - - - - - - -1

Each regular ticket cost $5, each premium ticket cost $15, and each elite ticket cost $25. The total amount made from the show was $3940. It means that

5x + 15y + 25z = 3940- - - - - - - - - 2

The number of regular tickets was three times the number of premium and elite tickets combined. It means that

x = 3(y + z)

x = 3y + 3z

Substituting x = 3y + 3z into equation 1 and equation 2, it becomes

3y + 3z + y + z = 440

4y + 4z = 440- - - - - - - - - - - - -3

5(3y + 3z) + 15y + 25z = 3940

15y + 15z + 15y + 25z = 3940

30y + 40z = 3940 - - - - - - - - - - 4

Multiplying equation 3 by 10 and equation 4 by 1, it becomes

40y + 40z = 4400

30y + 40z = 3940

Subtracting, it becomes

10y = 460

y = 460/10

y = 46

Substituting y = 46 into equation 3, it becomes

4 × 46 + 4z = 440

184 + 4z = 440

4z = 440 - 184

4z = 256

z = 256/4

z = 64

x = 3(y + z) = 3(46 + 64)

x = 330

4 0

3 years ago