answer.
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
Aleks04 [339]
2 years ago
5

have two hats. In one hat are balls numbered 1 through 15. In the other hat are balls numbered 16 through 25. I first choose a h

at, then from that hat, I choose 3 balls, without replacing the balls between selections. How many different orders selections of 3 balls are possible?
Mathematics
2 answers:
Pavel [41]2 years ago
7 0

Answer:

0.2239

Step-by-step explanation:

Given that you have two hats. In one hat are balls numbered 1 through 15. In the other hat are balls numbered 16 through 25. I first choose a hat, then from that hat, I choose 3 balls, without replacing the balls between selections.

Either I or II hat can be selected.

Prob of selecting any one hat = 0.5

After selecting I hat, selecting 3 balls can be done in 15C3 ways and from II hat it can be done in 10C3 ways.

total no of ways of selecting 3 balls = (10+15)C3 = 2300

Probability required =\frac{0.5*15C3+0.5*10C3}{2300} \\=\frac{455+60}{2300} \\=0.2239

KatRina [158]2 years ago
6 0

Answer:

3450 ways

Step-by-step explanation:

Different ways of picking 3 balls from the 1st hat:

1st ball: 15 choices (because there are 15 balls)

2nd ball: 14 choices (because one ball is taken away)

3rd ball: 13 choices (because two ball is taken away)

15*14*13=2730 different possible orders of picking 3 balls from the 1st hat

Different ways of picking 3 balls from the 2nd hat:

1st ball: 10 possibilities (because there are 10 balls)

2nd ball: 9 possibilities

3rd ball: 8 possibilities

10*9*8=720 different possible orders of picking 3 balls from the 2nd hat

720+2730=3450

You might be interested in
In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily
yanalaym [24]

Answer:the uncle is 54 years old.

The woman is 18 years old

Step-by-step explanation:

Let x represent the age of the uncle.

Let y represent the age of the woman that he married.

In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that

x = 3y

He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that

x + 18 = 2(y + 18)

x + 18 = 2y + 36 - - - - - - - - - - 1

Substituting x = 3y into equation 1, it becomes

3y + 18 = 2y + 36

3y - 2y = 36 - 18

y = 18

x = 3y = 3 × 18

x = 54

6 0
1 year ago
A team of dermatological researchers were studying skin cancer among 60-70 year old American men. Suppose you were a part of the
Lostsunrise [7]

Answer:

The correct answer is Option A.) The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.

Step-by-step explanation:

The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.

3 0
1 year ago
If 2x – 3 ≤ 5, what is the greatest possible value of 2x + 3 ? a.4 b.8 c.10 d.11
harina [27]

Answer:

Hope it is correct :) :)

8 0
1 year ago
Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.
N76 [4]
The solution is <span>B. π/12+nπ

</span>proof 
sinx cosx = 1/4 is equivalent to  2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ,  so x = π/12+nπ
8 0
2 years ago
Read 2 more answers
One morning, eight buses arrive at a bus stop.
Semenov [28]

Answer:

0 and 5 minutes

Step-by-step explanation:

Median is the middle observation of given data. It can be found by following steps:

Arranging data in ascending or descending order.

Taking the average of middle two value if the total number of observation is even, and this average is our median.

or, if we odd number of observation then the most middle value is our median.

The mode is the observation which has a high number of repetitions (frequency).

We have given 8 numbers and we have to find the other two numbers a minute late for each bus to arrive at the bus stop.

Also, we have given the median and mode of all 10 buses i.e. 3.5 and 0 respectively.

Since the mode is 0, so the frequency of 0 must be greater than 2 times and less than or equal to 4 times.

The frequency of 0 is 4 is not possible as then we didn't get a median 3.5 then.

So the frequency of 0 is 3.

Hence one of number is 0 in two unknown number of a minute late for each bus arrive at the bus stop.

Now, we have the number of minutes late for each bus after arranging them in ascending order is: 0 0 0 2 2 6 8 8 9

For getting a median 3.5 we must have a number between 2 and 6. Let it be x then:

\frac{2+x}{2} = 3.5

⇒x = 5

Hence the number of minutes late for each bus is: 0 0 0 2 2 5 6 8 8 9

Thus, 0 and 5 are minutes late for the two-afternoon buses.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Santiago hopes to buy a 4 horse trailer for about $12000. Describe all the numbers that when rounded to the nearest hundred are
    8·2 answers
  • The sum of 23 consecutive integers is 2323. What is the largest of these 23 integers?
    9·1 answer
  • You and your friend are selling magazine subscriptions for a fundraiser. After w w weeks, you have sold (3w+4) subscriptions and
    10·2 answers
  • An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 46 inches and its minimum height i
    13·2 answers
  • Which proportion could be used to find the length of side b?
    15·1 answer
  • The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time
    6·1 answer
  • ) Tara earns twice as much per hour as Kayte.
    11·2 answers
  • · Josh Duchene worked at three jobs in three weeks. In the first week, he earned $360. In the next week, he
    5·2 answers
  • . A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party. The table
    6·2 answers
  • Seth bakes 100 cookies in 2 hours. Erika bakes 200 cookies in 2.5 hours.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!