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
IceJOKER [234]
3 years ago
6

To make a committee 4 men are chosen out of 6 candidates. What is the probability that 2 certain people will serve on that commi

ttee
Mathematics
2 answers:
Ugo [173]3 years ago
6 0

Answer:

The probability that 2 certain people will serve on that committee is 11.11%.

Step-by-step explanation:

Since to make a committee 4 men are chosen out of 6 candidates, to determine what is the probability that 2 certain people will serve on that committee the following calculation must be performed:

4/6 = 2/3

1/3 x 1/3 = X

0.333 x 0.333 = X

0.1111 = X

Therefore, the probability that 2 certain people will serve on that committee is 11.11%.

IRINA_888 [86]3 years ago
3 0

Answer:

\frac{2}{5}

Step-by-step explanation:

6 groups, and 4 certain people

6

   C

        4

\frac{6!}{(6-2)!(2!)}

1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2

1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2

5 × 6/ 1 × 2

30/2 = 15

15 possible combinations

4 people, and 2 specific ones

4

   C

        2

\frac{4!}{(4-2)!(2!)}

1 × 2 × 3 × 4/1 × 2 × 1 × 2

1 × 2 × 3 × 4/1 × 2 × 1 × 2

12/2 = 6

\frac{6}{15}=\frac{\frac{6}{3} }{\frac{15}{3} }  =\frac{2}{5}

You might be interested in
How do you find the surface area and the volume to a composite figure?
Art [367]

Answer:

वि स्कुल माध्यामिक विद्यालय निम्न माध्यामिक विद्यालय व्यवस्थापन समिति सम्पादन र प्रकाशनमा बुटवलबाट निस्कने एक्सरे साप्ताहिकमा एक पटक साप्ताहिकमा छापिएको थियो। प्रकाशित

7 0
3 years ago
Solve the inequality.<br> |3x+7| &lt;_ 4
n200080 [17]

Answer:

Using ∣x∣>a⇒x<−a or x>a, we get

∣3x−7∣>4⇒3x−7<−4 or 3x−7>4

⇒3x<3 or 3x>11⇒x<1 or x>

3

11

⇒x∈(−∞,1)∪(

3

11

,∞).

3 0
2 years ago
Read 2 more answers
89 + 217 =<br> 1,564 – 1,438 =<br> 11 X 5 =<br> 72 : 8 =<br> 6 X 10 =<br> 88 + 8 =<br> 4,632-4,608 =
denpristay [2]

Answer:

use a calculator

7 0
2 years ago
F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0
2 years ago
The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf ba
sergiy2304 [10]

THE ANSWER IS A:

This is the function:

f(x)=|42.67-x|.

42.670 -.002 =42.668

42.668 mm to 42.670

Explanation:

Production will be stopped if the difference in diameter is greater than 0.002 mm.

This difference can mean that the golf ball has a diameter more than 0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.

 Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.

4 0
2 years ago
Other questions:
  • A store sells four 1-pound ears of corn in a package for $3.59. The expression 3. 59p represents the cost of the corn for a numb
    8·1 answer
  • Cual es la formula de aceleracion
    12·1 answer
  • Can you help me with this problem 5 divided by 0.8 work this out
    11·2 answers
  • 9m=6 what does m = in this equation ?
    11·2 answers
  • PLZ!!!!!HELP 20 POINTSS!!!
    11·1 answer
  • Write about which method you prefer to use to multiply two 2-digit numbers-regrouping,partial products,or breaking apart a model
    12·2 answers
  • select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3
    15·1 answer
  • Solve for w. Round your answer to the nearest hundredth. Your answer will<br> be of the form ##.##
    8·1 answer
  • Can anyone help me please
    15·1 answer
  • 5(x-24)+2x+3. What is the answer to this?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!