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
azamat
3 years ago
13

Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and

records its color (G for green and Y for yellow). They replace the marble and then pick another marble. If the two marbles picked have the same color, Derek loses 1 point and Mia gains 1 point. If they are different colors, Mia loses 1 point and Derek gains 1 point. What is the expected value of the points for Derek and Mia?
Ask for details Follow Report by Paynedaisa 08/04/2017
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.  

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

You might be interested in
Tom's total payment for his loan was $10,368.
g100num [7]

Answer:

$216

Step-by-step explanation:

This question does not involve interest, so all we need to do is to divide the  total of payments ($10,368) by the number of payments (48):

$10,368

--------------- = $216/month

      48

5 0
3 years ago
Read 2 more answers
First 20 minutes ,they traveled 15 miles ,at the same rate how fat will they have traveled in 2 and a half hours .Enter as integ
klio [65]

Answer:56Step-by-step explanation:

its the miles shes walked

6 0
3 years ago
A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the
SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }

t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093

[15.3 ± 2.093 * \frac{6.8}{\sqrt{20} }]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0
3 years ago
What is the first step in solving this equation? 3(2x+6)-4x 2(5x- 2) +6 Use the subtraction property of equality to subtract 6 f
LekaFEV [45]

Answer:

Use the distributive property on each side of the equation.​

Explanation:

PEMDAS

5 0
3 years ago
Pls help I’ll brainlest ASAP and add extra points I’m failing
Step2247 [10]

Step-by-step explanation:

you drew already the right things, you have everything.

so, what is the problem ?

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

so, for the 2 marked points you showed correctly the differences :

x changes by +8 (from -4 to 4).

y changes by -2 (from 3 to 1).

so the slope is -2/+8 = -1/4

the y-intercept we also see directly in the chart : +2.

3 0
2 years ago
Other questions:
  • The population of the US is about 300,000,000. If Spanish is the primary language for 10.7 percent of the population , about how
    5·2 answers
  • write the standard form of the line that is parallel to 2x 3y = 4 and passes through the point (1, -4).
    5·1 answer
  • A shoebox is covered with packing paper before being shipped. The paper cost $0.02 per square inch. How much will it cost to cov
    9·1 answer
  • Ella and Nico had $250 altogether. If Nico spent $35, he would still have $5 more than Ella. How much money did Ella have?
    13·1 answer
  • Which inequalities are true? Check all that apply. 0<8 8<3 8>7 8<2 8>8 1<8
    6·1 answer
  • Analyze this equation.
    5·1 answer
  • I WILL MARK BRAINLIEST
    13·1 answer
  • A cereal packaging machine can fill 15 oz boxes at a rate of 3 boxes every 2 minutes. Production has scheduled 600 lbs to be pro
    13·1 answer
  • 11. Saul's baseball bat has a mass of 1 kilogram His baseball has a mass
    5·1 answer
  • Number 13. Multiply please.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!