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
Zolol [24]
3 years ago
5

A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr

ict debate. What is the probability that two girls and two boys will be selected?
Mathematics
1 answer:
alex41 [277]3 years ago
7 0
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
You might be interested in
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Solve the equation for all values of x by completing the square<br><br>x²+67=18x​
melamori03 [73]

Answer:

x=±\sqrt[]{4}+9

5 0
3 years ago
Pls Someone Help me Question:make the greatest and smallest 4 digit number by using any one digit twice
Juliette [100K]

Answer:

Greatest digit: 8872.

Smallest digit:2278.

7 0
2 years ago
Read 2 more answers
If Charlie run 3 yd./s how many miles can Charlie run in an hour
Mademuasel [1]
So how many seconds are in an hour?
60 sec a minute, 60 minutes an hour.
60*60=3600 seconds in an hour.

he can run 3 yards in a second, so 3*3600=10800 yards in an hour.

convert yards to miles= 6.1363636miles
8 0
3 years ago
Find the amount of social security deducted: gross pay of 37890 annually
mrs_skeptik [129]
The social security deduction is given by 6.2% of the gross pay.

Thus, guven a gross pay of $37,890, the social security deduction is given by 0.062 x $37,890 = $2,349.18
7 0
3 years ago
Other questions:
  • If a point is at (8, 4) and is translated 5 units to the right, where is it now?
    6·1 answer
  • When you would measure capacity in each unit.
    8·1 answer
  • A survey of 250 adults found that during the last year, 70 traveled by plane but not by train, 70 traveled by train but not by p
    6·1 answer
  • Need help again. Please explain your answer.
    12·1 answer
  • A test was marked out of 80. Aboy scored
    8·1 answer
  • The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial in
    12·2 answers
  • The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both s
    14·2 answers
  • Helpppp with this math
    7·1 answer
  • PLZZZZZ HURRRRRY plz dont put any random answer i actually need help;-;
    8·1 answer
  • You sell 500 shares of Arena Pharmaceuticals (ARNA) at $3.15 . You purchased the stock at $1.28. How much profit did you make?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!