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
Katen [24]
3 years ago
11

Each of urns I and II has 5 red balls, 3 white balls, and 2 green balls. Urn III has 1 red ball, 1 white ball, and 8 green balls

. An urn is selected at random and a ball is drawn. If the ball is green, find the probability that urn III was selected. (Enter your probabilities as fractions.)
Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0

Answer:

The probability of selecting the green ball from urn III is ²/₃

Step-by-step explanation:

Given;

total number of balls in urn I = 10

number of green balls in urn I , = 2

total number of balls in urn II = 10

number of green balls in urn II , = 2

total number of balls in urn III = 10

number of green balls in urn II , = 8

P = \frac{\frac{8}{10}  }{\frac{2}{10} + \frac{2}{10}+ \frac{8}{10}}\\\\P =  \frac{\frac{8}{10}  }{\frac{12}{10} }\\\\P = \frac{8}{10}  *\frac{10}{12} \\\\P = \frac{8}{12}\\\\ P = \frac{2}{3}

Therefore, the probability of selecting the green ball from urn III is ²/₃

You might be interested in
A right circular cone has a radius of 8 in. and a slant height of 12 in. These dimensions are multiplied by 6. By what factor is
Margarita [4]

Answer:

Factor: 36

Step-by-step explanation:

Ratio of sides

1 : 6

Ratio of areas

1² : 6²

1 : 36

7 0
3 years ago
WILL MARK BRAINLYEST IF YOU ANSWER ALL QUISTIONS
gogolik [260]

Rewrite the fractions as improper fractions:

1. −4 2/5 ÷ (−5)

= -22/5 ÷ −5/1

= -22/5 x -1/5

=22/25

2.  −4 4/5÷4

= -24/5 ÷ 4/1

= -24/5 x 1/4

= -6/5

= -1 1/5

3. −2 1/8 ÷ 1 1/4

= -17/8 ÷ 5/4

= -17/8 x 4/5

= -68/40

= -17/10

=-1 7/10

4. −6 7/8 ÷ (−3 3/4)

= -55/8 ÷ -15/4

= -55/8 x -4/15

= 220/40

= 11/6

= 1 5/6

5. −8 3/4÷ 2 1/6

= -35/4 ÷ 13/6

= -35/4 x 6/13

= -210/52

= - 105/26

= -4 1/26

7 0
3 years ago
What is the answer? pls
Alex777 [14]

Answer:

C + D

\frac{3}{4} (x + 8 )= -12

\frac{3}{4} x +6 = -12

4 0
2 years ago
Can anyone help me please?
vovangra [49]

Answer:

- 6

Step-by-step explanation:

The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.

Slope(using these pts) = (y2 - y1)/(x2 - x1)

=> - 2 = (-2 - r)/(3 - 5)

=> -2 = (-2 - r)/(-2)

=> (-2)(-2) = (-2 - r)

=> 4 = -2 - r

=> r = - 2 - 4

=> r = - 6

4 0
2 years ago
Read 2 more answers
(1 point) If p(x) and (x) are arbitrary polynomials of degree at most 2, then the mapping =p(-1)q(-1) + p(070) +p(3)q(3) defines
Ainat [17]

If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26(\sqrt{640}) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8   ,    q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6   ,    q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24  ,  q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

         = (8)(8) + (6)(0) + 24(24)

         = 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = \sqrt{ < p,p > }

     = \sqrt{8(8) + 6(6) + 24(24)}

     = \sqrt{676}

||p|| = 26

and

||q|| = \sqrt{ < q,q > }

      =\sqrt{8(8) + 0(0) + 24(24)}

||q||  =\sqrt{640}

∴||p||||q|| = 26(\sqrt{640\\)

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹\frac{ < p,q > }{||p||||q||}

      = cos ⁻¹ \frac{640}{26(\sqrt{640}) }

      = cos ⁻¹ \frac{4\sqrt{10} }{13}

  α  = 13.34°

In radian

α = 0.233.

To know more about Inner product here

brainly.com/question/14185022

#SPJ4

5 0
1 year ago
Other questions:
  • When writing numbers in base 10, we only allow coefficients of 0 through 9. Why is that?
    12·1 answer
  • There are 24 balls in a large bin. Two out of every three are basketball. The rest are footballs. How many basketballs are in th
    14·1 answer
  • 1. Laura gave the clerk $20 for purchases of a
    7·1 answer
  • NEED HELP 20 points
    13·2 answers
  • in a pepper airplane contest, amanda's plane flew 19ft farther than Darren's plane.Darren's plane flew twice as far as Rachel's
    7·1 answer
  • When constructing the centroid of a triangle, you need to find the intersection of all three of which type of line?
    13·1 answer
  • Consider the functions f(x)=x−7 and g(x)=4x3. What is f(x)+g(x)?
    8·2 answers
  • Evaluate the expression when b=3 and c=-6<br><br> 4b-c
    12·1 answer
  • HELP PLEASE<br> Write each number as a logarthm with base 3.<br> 0<br> 1<br> -2<br> 4
    13·2 answers
  • What is the answer to u/5+6=2 with work shown?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!