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
stealth61 [152]
2 years ago
14

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

bability that both students chosen are sophomores? StartFraction (6 C 1) (5 C 1) Over 20 C 2 EndFraction StartFraction (6 P 1) (5 P 1) Over 20 P 2 EndFraction StartFraction (20 C 6) (19 C 5) Over 20 C 2 EndFraction StartFraction (20 P 6) (19 P 5) Over 20 P 2 EndFraction
Mathematics
2 answers:
Elanso [62]2 years ago
7 0

Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}

The total number of possible choices is

_{2}^{20}\textrm{C} \text{ ways to do it}

The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

Choose the first alternative

Verdich [7]2 years ago
3 0

Answer:

(6C1)(5C1)/20C2

Step-by-step explanation:

Was right on egde

You might be interested in
Joseph needs to calculate how much grass seed he needs to cover his lawn. A diagram of his lawn is shown below. One pound of see
viktelen [127]
L x W = Area
40 x 15 = 600 square ft
So you would need 6 bags of feed
600/ 100 = 6
4 0
2 years ago
Please answer all please​
Firdavs [7]

Answer:

Step-by-step explanation:

The first parabola has vertex (-1, 0) and y-intercept (0, 1).

We plug these values into the given vertex form equation of a parabola:

y - k = a(x - h)^2 becomes

y - 0 = a(x + 1)^2

Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:

1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is

y = (x + 1)^2

Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:

vertex:  (1, 4)

x-intercepts:  (-1, 0) and (3, 0)

Subbing these values into y - k = a(x - h)^2, we obtain:

                                            0 - 4 = a(3 - 1)^2, or

                                                -4 = a(2)².  This yields a = -1.

Then the desired equation of the parabola is

y - 4 = -(x - 1)^2

7 0
2 years ago
The net of a square pyramid is shown
Wewaii [24]

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

                            = 8²

                            = 64 cm²

Area of one lateral triangle = \frac{1}{2}(\text{Base})(\text{Height})

                                             = \frac{1}{2}(8)(8)

                                             = 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

                                                                              = 64 + 128

                                                                              = 192 cm²

Therefore, Option (D) will be the correct option.

3 0
2 years ago
△FSB∼△ZDR .<br><br> What is the value of x?<br><br> Enter your answer.<br><br> How many units?
kari74 [83]
Answer: 22

---------------------------------------------------------

Explanation:

The triangles are similar, so we know the corresponding sides form ratios that are equal. 

Note how...
FS and ZD are the first two letters of FSB and ZDR respectively
FB and ZR are the first & last letters of FSB and ZDR respectively

Based on those two facts above, we can form this proportion
FS/ZD = FB/ZR
38/15.2 = 55/x

Solve for x
38/15.2 = 55/x
38*x = 15.2*55
38*x = 836
x = 836/38
x = 22

4 0
3 years ago
17x-3y=4 2x-4y=1 the solution to the system of equations is
Burka [1]

ANSWER

x=\frac{13}{62}

and


y= \frac{-9}{62}e have



EXPLANATION




17x-3y=4---(1)


2x-4y=1



Let us make y the subject and call it equation (2)


2x=1+4y


x=\frac{1}{2}+2y--(2)



We put equation (2) in to equation (1)




17(\frac{1}{2}+2y)-3y=4


\frac{17}{2}+34y-3y=4



34y-3y=4- \frac{17}{2}


Simplify to get,



31y= \frac{8-17}{2}



31y= \frac{-9}{2}


Divide both sides by 31,



y= \frac{-9}{2} \div 31



y= \frac{-9}{2} \times \frac{1}{31}




y= \frac{-9}{62}


We put this value in to equation (2) to get,



x=\frac{1}{2}+2\times -\frac{9}{62}




x=\frac{1}{2} -\frac{18}{62}


We collect LCM to obtain,



x=\frac{31-18}{62}



x=\frac{13}{62}








7 0
2 years ago
Other questions:
  • Sally and Tyrone were arguing about the size of 2 numbers. Sally thought six-tenths was one-tenth as large as six-hundredths. Ty
    5·1 answer
  • Which of the following is the quotient of the rational expressions shown below?
    10·2 answers
  • The first Ferris wheel was built in 1893 in Chicago. It's diameter was 250 feet. How many feel did the Ferris wheel rotate with
    5·1 answer
  • Eight less than the quotient of a number and 3 is 18. Which equation models this sentence?
    14·2 answers
  • You need to find the number of inches in 3.5 meters. What number should you multiply 3.5 by to find the number of inches?
    13·2 answers
  • YOU WILL GET BRAINIEST PLEASE ANSWER 20 POINTS!!!!!
    14·1 answer
  • A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse
    12·1 answer
  • Yolanda is filling her bathtub. The table shows the number of gallons of water in the bathtub at different times since she start
    8·1 answer
  • Combine like terms to create an equivalent expression.
    10·2 answers
  • Which of the numbers below are whole numbers? Check all that apply.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!