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
Westkost [7]
3 years ago
8

Seven people enter the elevator on the first floor of a 12 story building. What is the probability that no two will get off on t

he same floor? (you may assume that all floors are equally likey and no one gets off the elevator before it)
Mathematics
1 answer:
jeka943 years ago
7 0

Answer:

The probability that no two people will get off on the same floor is 0.1114.

Step-by-step explanation:

The number of people in the elevator is 7.

The number of floors is 12.

Then the arrangement in which 7 people can get off on the 12 floors in _{12} P_{7}.

The total number of ways in which the 7 people can get off on the 12 floors is 12^{7}.

The probability that no two people will get off on the same floor is:

=\frac{_{12}P_{7}}{12^{7}} = \frac{3991680}{35831808} =0.1114

Thus, the probability that no two people will get off on the same floor is 0.1114.

You might be interested in
Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5
abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

6 0
3 years ago
Use quadratic regression to find
Rashid [163]

The quadratic equation is given by:

y = 3x² + 10x - 8

The standard equation of a parabola is given by:

y = ax² + bx + c

Where a, b, c are constants

At point (4, 80):

80 = a(4)² + b(4) + c

16a + 4b + c = 80     (1)

At point (-3, -11):

-11 = a(-3)² + b(-3) + c

9a - 3b + c = -11     (2)

At point (-1, -15):

-15 = a(-1)² + b(-1) + c

a - b + c = -15     (3)

Solving equations 1, 2 and 3 simultaneously gives:

a = 3, b = 10, c = -8

Therefore the quadratic equation becomes:

y = 3x² + 10x - 8

Find out more on quadratic equation at: brainly.com/question/1214333

8 0
2 years ago
NEEDED NOW
stealth61 [152]

Answer:

D. The velocity of the bike when Jack stopped pedaling.

Step-by-step explanation:

I took a test with this question and got it right .

8 0
2 years ago
Read 2 more answers
Find the midpoint of points A(-8,1) and B(-3,7) graphically.
Sedaia [141]
The 'x' coordinate of the midpoint is the average of the 'x'


5 0
2 years ago
70% of 80 is what number
rosijanka [135]
It would be 56, 
I wish you luck.
3 0
2 years ago
Read 2 more answers
Other questions:
  • Flying to Kampala with a tailwind a plane averaged 158km per hr ... The the return trip the plane only averaged 112 km per . . w
    10·1 answer
  • The area of a circle is 81pi in.squared. What is the circumference, in inches? Express your answer in terms of pi
    6·2 answers
  • virgil has 1/6 of a bday cake left over. he wants to share with 3 friends. what fraction of the original cake will each of the f
    9·1 answer
  • Sally either walks, cycles or drives to work. She walks about 15% of the time and drives about 3/5 of the time. What percentage
    6·1 answer
  • (x4- 4x2 + 5x - 1) = (x + 2)<br> Solve using remainder Therom
    12·1 answer
  • Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
    6·1 answer
  • In which number does the 5 represent a value 10 times the value represented by the 5 in 35,187
    8·1 answer
  • A sample of 40 people owned an average of 1.35 hats. It is known from a previous study that the population standard deviation of
    5·1 answer
  • If there are 15 pistachios for every 5 bowls, how many pistachios are in 4 bowls
    5·2 answers
  • PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!