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ElenaW [278]
3 years ago
7

There are ten members of the debate team: Ann, Bill, Carla, Don, Ed, Frank, Gretchen, Harry, Isabel, and Jen. If they randomly c

hoose three co-leaders of the group, what is the probability that Gretchen, Don, and Carla are chosen as the co-leaders?
Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

1/120

Step-by-step explanation:

There are 10 members, and three are chose as co-leaders.  The number of possible combinations is:

₁₀C₃ = 120

One of those 120 combinations is Gretchen, Don, and Carla.  So the probability is 1/120, or approximately 0.83%.

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Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv
professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0
3 years ago
Giant is selling Doritos 2 family bags for 7.00 I’m buying them for the class to celebrate great test scores if I buy 13 bags ho
elena55 [62]
$45.50
2 bags = $7
13 bags=?
7÷2=3.5
3.50=1 bag
$3.50 × 13 bags = $45.50 for 13 bags of Doritos
6 0
3 years ago
Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account t
wolverine [178]

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = x

Cost for the first bank for x checks = $5 + $0.10x

Cost for the second bank for x checks = $4 + $0.20x

As per question statement, both the costs are the same.

Comparing the values:

5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 \times 10 = <em>$6</em>

8 0
3 years ago
Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?
SVEN [57.7K]

Answer:

m\angle h=126^o      

Step-by-step explanation:

we know hat

<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.

In this problem

m\angle h=m\angle e ----> by vertical angles

we have

m\angle e=126^o ---> given problem

therefore

m\angle h=126^o

3 0
3 years ago
What is -4 1/6 x 3/5?
vazorg [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
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