1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
3 years ago
13

A school class went on a field trip to see a magician perform there were 17 females 20 males in the class the magicians randomly

selected a volunteer from the audience in which had 52 females and 68 males given that the randomly selected audience member is a student from the class which equation can be used to find the probability p that the perdimos also a female?please help does anyone know the answer
Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:

P(B)= 17/20

Step-by-step explanation:

Hello!

The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.

Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.

If a random member of the audience is selected as a volunteer:

Let "A" represent the event that "the selected volunteer is a student of the class"

And "B" the event that "the selected student is female"

You have to calculate the probability of the selected volunteer being female, given that it is a member of the school class.

Symbolically:

P(B|A)

Using the formula of conditional probabilities you can calculate it as:

P(B|A)= \frac{P(AnB)}{P(A)}

P(A∩B)= P(A)*P(B)= (\frac{37}{120} )*(\frac{17}{20} )= \frac{629}{2400}= 0.26

P(A)= \frac{37}{120} = 0.308

P(B|A)= \frac{P(AnB)}{P(A)}= \frac{629/2400}{37/120} = \frac{17}{20} = 0.85

As you can see the probability of the event "The volunteer is female given that it was a student of the school class" means that you already know the selected volunteer was a student and only needed to calculate the probability of that student being female.

P(B)= 17/20

I hope this helps!

You might be interested in
Equation that has a slope of -4 and passes through the point (-2, 2) show work too
Alenkinab [10]

Answer:

y=-4x-6

Step-by-step explanation:

y=mx+b, where m is the slope and b is the y-intercept

Slope is given as -4, so:

y=-4x+b

To find b, sub in the point we were given (-2,2):

2=-4(-2)+b

2=8+b

b=2-8=-6

So we have: y=-4x-6

7 0
3 years ago
Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo
Damm [24]
0.5 + 0.75 = 1.25

1.25 rounds off to 1.
7 0
3 years ago
The square root of 52 is between which two consecutive Integers?
Murrr4er [49]
The answer is 7 and 8
7 0
3 years ago
Read 2 more answers
Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, yo
chubhunter [2.5K]

Answer:

False

Step-by-step explanation:

An acute angle can be scalene

Eg - 2 angles of 20 degrees , and 1 angle of 50 degre

HOPE THIS WILL HELP YOU

8 0
3 years ago
What is the volume of the cylinder below?
Anestetic [448]

Answer:

B

Step-by-step explanation:

The formula for volume of cylinder is given below:

volume of cylinder = \pi r^2 h

Where r is the radius (here, it is given as 3)

h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')

Plugging in the available info , we get our answer:

\pi r^2 h\\=\pi (3)^2 (4)\\=36\pi

B is the correct answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help me with IXL Math...<br> I'll MARKO you as Brainliest.
    6·2 answers
  • A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
    8·1 answer
  • A square has one of its sides increased by 7 inches and the other side decreased by 4 inches. Which of the following represents
    10·2 answers
  • Which sequence of transformations proves that shape I is similar to shape II?
    11·2 answers
  • If your grade is 68.27 and you get a 15 out of 15 on your test whats your grade now
    6·1 answer
  • I need help on this pleasee and please explain​
    8·1 answer
  • A car is traveling 40 kilometers per hour. What is the speed of that car in meters per second?
    15·2 answers
  • Please help! Direct or inverse variation
    8·1 answer
  • It costs $40 to register for Karate, then $15 per lesson. If Rachel is taking lessons and wants to spend no more than $250, how
    14·2 answers
  • Alon built a sand castle that measured 15 feet by 11 feet, and dug a moat around it. Afterward. they decided to change the castl
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!