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
denis-greek [22]
3 years ago
5

The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclus

ive. if 4 disks are to be selected one after the other, with each disk selected at random and without replacement, what is the probability that the range of the numbers on the disks selected is 7
Mathematics
1 answer:
allsm [11]3 years ago
6 0

First we calculate for the total number of possibilities (permutation) to select 4 disks from the container:

Total number of possibilities = 10 * 9 * 8 * 7

Total number of possibilities = 5040

<span>
Now let us find the 4 disks that will result in a range of 7. </span>

Range = highest number – lowest number

The pair of highest and lowest number that will result in range of 7 is: (1 & 8), (2 & 9), (3 & 10)

 

As a basis of calculation, let us use the pair 1 & 8.

There are four possible ways to select 1 and three for 8.

Arrangements of maximum and minimum pair = 4 * 3

Arrangements of maximum and minimum pair=12

Now we need to calculate for the remaining 2 disk. There are 6 numbers between 1 & 8. The total possibilities for selecting 2 disk from the remaining 6 is:

Possibilities of selecting 2 disk from remaining 6 = 6 * 5

Possibilities of selecting 2 disk from remaining 6 = 30

Therefore, the total possibility to get a range of 7 from a pair of 1 & 8 is:

Total possibility for a pair = 12 * 30

Total possibility for a pair = 360

 

Since there are a total of three pairs (1 & 8), (2 & 9), (3 & 10):

Total possibilities of the 3 pairs = 360 * 3

Total possibilities of the 3 pairs = 1080

 

Therefore:

Probability = Total possibilities of the 3 pairs / Total number of possibilities

<span>Probability = 1080 / 5040 = 3 / 14                      (FINAL ANSWER)</span>

You might be interested in
Which statement best describes how to determine whether f(x) = 9 - 4x^2 is an odd function?
OverLord2011 [107]

Answer:

Which statement best describes how to determine whether f(x) = 9 - 4x^2 is an odd function?

4 0
2 years ago
Identify three of the key messages used by advertisers when promoting their products.
Dmitry_Shevchenko [17]

Answer:

Three key messages often used are: 1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."

Step-by-step explanation:

hope it helps

4 0
3 years ago
Read 2 more answers
Elevation and depression? Someone help me please
Monica [59]

5 x tan 66 = 7.140

your welcome :)

4 0
3 years ago
The student faculty ratio at a middle school is 10:2 The total of students and faculty is 520. How many students are there at th
vlabodo [156]
10x and 2x is the answer to your question then do the equation
4 0
2 years ago
Read 2 more answers
ANSWER ASAP!! WILL GIVE OR MORE POINTS TO THE FIRST ONE WHO ANSWERS!
Sergio [31]

Answer: See the picture attached.

Step-by-step explanation:

Given the following mixed numbers:

-2\frac{3}{4}\\\\-4\frac{1}{2}

You need to convert them to decimal numbers. The steps to do this are shown below:

1. Divide the numerator of the fraction by the denominator.

2. Add the quotient obtained to the whole number part.

Then:

-2\frac{3}{4}=-(2+0.75)=-(2.75)=-2.75\\\\-4\frac{1}{2}=-(4+0.5)=-(4.5)=-4.5

Therefore, the point is:

(-2.75,-4.5)

Where -2.75 is the x-coordinate and -4.5 is the y-coordinate.

Knowing this, you can plot it on the coordinate plane, as you can see in the picture attached.

8 0
3 years ago
Other questions:
  • An artist is painting the outside of the box shown below. The top and bottom will NOT be painted. What is the total surface area
    8·1 answer
  • What is the answer to this math question “X - 3 = 6”
    13·2 answers
  • Draw a line representing the "rise" and a line representing the "run" of the line. State
    9·2 answers
  • Based on the z-statistic of –2.5 for the sample data, should the null hypothesis be rejected? Yes, because the z-statistic lies
    15·2 answers
  • . In a group of 37 people waiting in line at the local java house, 18 wanted to order a cappuccino, 20 wanted to
    15·1 answer
  • Round 79.045 to the nearest tenth
    15·2 answers
  • The ratio of the sides of two similar regular octagons is 4:7. If the measure of each side of the larger octagon is 28 cm, then
    9·1 answer
  • Helppp meee helpppp meeeee
    15·1 answer
  • For each ordered pair, solve the percent problems to find the coordinates. (x is 110% of 10 y% of 50 is 3.5).
    6·1 answer
  • What are the answers I have to put in the yellow boxes?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!