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
galben [10]
3 years ago
9

A basketball coach will select the members of a five-player team from among 9 players, including John and Peter. If the five pla

yers are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?
Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that a basketball coach will select the members of a five-player team from among 9 players, including John and Peter.

Out of nine players five are chosen at random.

The team consists of John and Peter.

Hence we can sort 9 players as I group, John and Peter and II group 7 players.

Now the selection is 2 from I group and remaining 3 from II group.

Hence no of ways of selecting a team that includes both John and Peter=2C2*7C3=35

Total no of ways = 9C5=126

= \frac{2C2*7C3}{9C5}=\frac{35}{126} =\frac{5}{18}

You might be interested in
10. Fred has to read a book for a test in 2 weeks. If he reads the same number of pages per day and the book has 350 pages, how
Angelina_Jolie [31]

Answer:

25 pages per day

Step-by-step explanation:

Fred has 14 days to finish 350 pages.

To find out how many pages he needs to read each day, we divide 350 by 14, to get 25.

5 0
2 years ago
Read 2 more answers
Turn this into a equation the sum of twice r and three timea s is identical to thirteen
Goryan [66]
In equation form it would be the following:

2r + 3s = 13.

I believe.
5 0
3 years ago
Determine if each equation is a linear equation.
Lady_Fox [76]

Answer:

Linear-1,2,3,6

Nin-Linear-4,5

Step-by-step explanation:

A linear equation is an equation in which the highest power of the  variable is 1.

Out of the given equations, the following are linear.

1) 5x_1 + x_2 - 7x_3 = 4

2) 5x_1 + 4.6x_2 + 12x_3 = -5

3) 3x_1 - x_3 = -5x_2 + 7

6) 6x_1 - 4x_2 + x_3 = 0

These equations on the other hand are nonlinear.

4) 3x_1x_2 + x_3 = 5

5) 4x_1^3 + x_2 = 5

No 4 contains a term which is the product of two variables therefore it is not linear.

No 5 contains a term whose highest power is 3. Such an equation is a Cubic Equation.

4 0
3 years ago
A pan of lasagna cut into 100 servings is equally shared among a group of people. For Exercises
Volgvan

53).  100 servings / 20 people  =  (100/20) (svngs/ppl)

                                                 = 5 servings per person.

         Each person gets 1/20 = 5% = 0.05 of the pan.


54).  100 servings / 40 people  =  (100/40) (svngs/ppl)

                                                 = 2.5 servings per person.

         Each person gets  1/40 = 2.5% = 0.025 of the pan.


55).  100 servings / 30 people  =  (100/30) (svngs/ppl) 

                                                  = (3 and 1/3) servings per person.

         Each person gets  1/30 = (3 and 1/3) % = 0.0333... of the pan.
 
3 0
3 years ago
A soccer ball has an interior
AnnZ [28]

Answer:

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V = -------------

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = ------------------- = 5575 cm³

              6

4 0
2 years ago
Read 2 more answers
Other questions:
  • Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3
    9·1 answer
  • What number makes the the number sentence true 420,008 - 9,569 =n
    10·2 answers
  • A bank account has a beginning balance of $560,00. After 6 months, the balance in the account has increased to
    5·1 answer
  • Which is equal to (f+g)(4)<br><br> F(x)=(x-2)^2;G(x)=x+3<br><br> A. 34<br> B. 11<br> C. 18<br> D. 46
    7·1 answer
  • Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)
    11·1 answer
  • Which shows the use of a credit card
    14·1 answer
  • Find the mode of 3, 6, 4, 3, 2, 4, 7, 8, 6, 3, 9
    12·2 answers
  • Cho f(t)=(t-4)u(t-2)phep bien doi laplace la<br> F(s)=e^-2s/s^2-2e^-2s/s62
    7·1 answer
  • What is the volume of a cylinder that has the height of 4 inches and radius of 7 inches?
    10·1 answer
  • 4.6 is what percent of 23?<br><br> Can someone give me the answer please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!