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
Dominik [7]
3 years ago
12

Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Mathematics
1 answer:
Reptile [31]3 years ago
3 0

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276

Number of ways of choosing 3 students From all males

n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220

The probability that all are male of choosing '3' students

P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }

P(E) =  \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}

P(E) = 0.067 = 6.71%

<u><em>Final answer</em></u>:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

You might be interested in
A tower that is 111 feet tall casts a shadow 126 feet long. find the angle of elevation of the sun to the nearest degrre
Sergeeva-Olga [200]
The angle here is an acute angle at ground level.  Then the side adjacent to this angle is 126 feet.  The opp. side is the tower, 111 feet tall.

Then   

tan theta = opp / adj = 111 / 126.  Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).
3 0
2 years ago
Find the output, f, when the input, t, is 7.<br> f = 2t - 3f=2t−3
ella [17]

Answer:

f = 3 1/2

Step-by-step explanation:

f = 2t - 3f     Substitute 7 for t

f = 2(7) - 3f   Multiply

f = 14 - 3f

+3f     + 3f    Add 3f to both sides

4f = 14          Divide both sides by 4

f = 3 1/2

If this answer is correct, please make me Brainliest!

6 0
3 years ago
5. Find the value of x that makes BC || DE.
s344n2d4d5 [400]

Answer:

x = -7

Step-by-step explanation:

To find the value of x, you need to set up a proportion:

\frac{x-2}{15} = \frac{x-1}{18}

Then cross multiply:

15x - 15 = 18x + 36

Then subtract 15x from both sides:

-15 = 3x + 36

Subtract 36 from both sides:

-51 = 3x

Finally, divide both sides by 3:

x = -7

8 0
3 years ago
Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
lana [24]

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Where,

P(-2, 5) = (x_1, y_1) (the coordinate of P is gotten from the graph)

S(9, 5) = (x_2, y_2) (given)

PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2}

PS = \sqrt{(11)^2 + (0)^2}

PS = \sqrt{121} = 11 units

3 0
3 years ago
Anyone 1 on 1 tutoring? ​
Sav [38]

Answer:

What do you need help on?

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is f(–2)? –3 ,–1, 1 ,3
    12·2 answers
  • A football field measures 300 feet in length. It can also be expressed as approximately 5 7x 10miles. If the
    7·1 answer
  • WRITE AN EXPRESSION. USE AN EXPONET, RATHER THAN REPATED MULITIPLICATION. (-4) (-4) SHOW WORK
    11·1 answer
  • The heights of two elevators can be modelled by linear functions. At time t = 0, Elevator A is 16 feet above ground floor. It de
    14·2 answers
  • 1. A rectangular fish tank 60 cm by 15 cm by 34 cm find the volume of water needed to fill the tank 2/3 of the given aquarium.
    6·1 answer
  • The weight y of a object on Jupiter is proportional to the weight x of the object on earth. An object that weighs 150 ponds on e
    7·1 answer
  • Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
    10·1 answer
  • 2. If AD= 2x – 1 and BC = 5x – 13, then<br> AD=<br> BC=<br> AB=<br> DC =
    8·1 answer
  • Which equation matches the graph?
    5·1 answer
  • If the following rectangular prism's width is doubled, what will happen to the volume?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!