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
djyliett [7]
3 years ago
14

6. An urn contains 15 red balls and 8 blue balls. In each draw, one ball is extracted at random. It is then returned to the urn,

along with 6 extra balls of the same color. (the total number of balls in the urn increases after each draw). Consider the event Ck={a blue ball is extracted at the k-th draw}. Determine the probability P(C4). (at the first three draws the extracted balls are not blue).
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

P(C4) = 0.0711

Step-by-step explanation:

consider the first draw = 15/23  since it cannot be a blue ball

The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn

the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn

therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41

Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41

P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )

= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711

You might be interested in
What is the least common denominator for the fractions 9/14and 2\21
Diano4ka-milaya [45]
Hello : 
14 = 2×7
21 = 3×7
<span> the least common denominator for the fractions 9/14and 2\21  is : 6×7=42</span>
8 0
3 years ago
Need to know the area of the composite figure.
Deffense [45]

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

  = 51 m^2

7 0
3 years ago
7.4375 as a mixed number in simplest form
Grace [21]

(7 and 7/16) is the simplest form.
5 0
3 years ago
2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
Basile [38]

Answer:

1.  8

2.  24

Step-by-step explanation:

The number of persons that drink grape milk only :

18 - 10 = 8

The number of persons that drink coffee :

42 - 8 = 34

The number of persons that drink coffee only :

34 - 10 = 24

5 0
2 years ago
A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds
valentina_108 [34]
To find the acceleration of the bicycle rider, we are going to use the acceleration formula: a= \frac{v_{f}-v_{i}}{t}
where
a is the acceleration 
v_{i} is the initial speed 
v_{f} is the final speed 
t is the time 

We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore, v_{i}=5, v_{f}=15, andt=10. Lets replace those values in our formula:
a= \frac{v_{f}-v_{i}}{t}
a= \frac{15-5}{10}
a= \frac{10}{10}
a=1

We can conclude that the acceleration of the bicycle rider 1 m/s^2
4 0
3 years ago
Other questions:
  • How do you describe a polynomial to some new algebra students
    14·1 answer
  • What is 26/8 written as a mixed number
    7·1 answer
  • Which of the following expressions would appear farthest to the right on a number line when solved?
    8·2 answers
  • Triangle fgh is similar to triangle abc solve for x
    14·1 answer
  • The perimeter of a rectangle is 156 feet. The length is 22 feet. What is the width?
    10·2 answers
  • Westside Bakery uses 440 pounds of flour to make 1,000 loaves of bread. Each contains the same amount of flour . How many pounds
    7·2 answers
  • A sandbox has a area of 26 square feet and the length is 5 1/2 feet what is the width of the sandbox?
    14·2 answers
  • Which rectangular prism has a volume equal to the expression 6 * 3 * 4?
    9·1 answer
  • What is the area of the trapezoid?
    10·1 answer
  • What can antarctic ice core samples tell us about atmospheric co2 levels? select all that apply.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!