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
mamaluj [8]
3 years ago
7

(5 points) An urn contains two blue balls denoted by B1 and B2, and three white balls denoted by W1, W2 and W3. One ball is draw

n,, its color is recorded and it is replaced in the urn. Then the second ball is drawn and its color is recorded. Consider the event that the first ball that is drawn is blue. List all outcomes in the event. What is the probability of the event?
Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

The probability of the event that first ball that is drawn is blue  is \frac 25.

Step-by-step explanation:

Probability:

If S is is an sample space in which all outcomes are equally likely and E is an event in S, then the probability of E,denoted P(E) is

P(E)=\frac{\textrm{The number of outcomes E}}{\textrm{The total number outcomes of S}}

Given that,

An urn contains two balls B₁ and  B₂ which are blue in color and W₁,W₂ and W₃ which are white in color.

Total number of ball =(2+3) =5

The number ways of selection 2 ball out of 5 ball is

=5²

=25

Total outcomes = 25

List of all outcomes in the event that the first ball that is drawn is blue are

B₁B₁ , B₁B₂ , B₁W₁ , B₁W₂ , B₁W₃ , B₂B₁ , B₂B₂ ,  B₂W₁ , B₂W₂ , B₂W₃

The number of event that the first ball that is drawn is blue is

=10.

The probability of the event that first ball that is drawn is blue  is

=\frac{10}{25}

=\frac25

You might be interested in
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
nignag [31]

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

5 0
2 years ago
Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur
son4ous [18]

Answer:

the g's contributing term for the overall uncertainty of P is  dP_g =  [\frac{dg}{g}]

Step-by-step explanation:

From the question we are told that

   The pressure is   P  = P_o + \rho gh

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

    ln P  = lnP_o + ln(\rho gh )

=>   ln P  = lnP_o + ln \rho + ln g  + ln h

Then the next step is to differentiate both sides of the equation

    \frac{d(ln P)}{dP}  =  \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}

=>    \frac{dP}{P}  =  \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

     dP_g =  [\frac{dg}{g}] P

8 0
3 years ago
last week shiras fruit stand sold 1 3/4 boxes of peaches down the road tommys fruit stand sold 2 1/2 times as many boxes of peac
Sedaia [141]
The answer is 4 3/8 boxes because 1 3/4 x 2 1/2 = 4 3/8.
6 0
3 years ago
Solve for x. The triangles in each pair are similar <br><br> I need help!<br><br> (´༎ຶོρ༎ຶོ`)
Taya2010 [7]
The answer is D) 12
If you need proof, just comment.

5 0
3 years ago
Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
Arada [10]

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt

 

\rm ds = \sqrt{2^2+3^2+4^2} dt

After solving the integration over the limit 0 to 1, we will get;

\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12}  (e^{12}-1)   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

7 0
2 years ago
Other questions:
  • Is the number 3 multiple of 9
    5·1 answer
  • In a fifth grade class 3/4 of the students like to go to the movies.Of the students who like to go to the movies 2/3 of them lik
    13·1 answer
  • Suppose C = 30y + 15 and y = 40x + 25.
    14·1 answer
  • the length of a rectangle is 2 more inches than its width. The perimeter of the rectangle is 24 inches
    13·1 answer
  • The sum of three numbers is 61 the second number is 5 times the first while the third is 2 less than the first find the numbers
    7·1 answer
  • Which is more, 10 grams or 12,000 milligrams
    15·2 answers
  • Simultaneous equations<br>x+y=5<br>x squared-y squared=15​
    9·2 answers
  • Im giving out brainlys to whoever answers ty!
    7·2 answers
  • Solve th simultaneous equations<br> 3x + y = 17<br> 2x +y = 12
    10·1 answer
  • find the slope of the line passing through the pair of points or state that the slope is undefined. then indicate whether the li
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!