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
Oliga [24]
3 years ago
12

You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa

nts, 6 pair of short pants and 17 t-shirts. You plan to give some away.
a. In how many ways can a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts be arranged?
b. You randomly select 25 of the items of clothing to give away. What is the probability you select 10 pair of long pants, 3 pair of short pants and 12 t-shirts?
Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12   ×    [ 6     ×    [ 17

     10 ]         3 ]           12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

You might be interested in
Solve 3^2x+3=243 for x.<br><br> A. x = 10<br> B. x = 2<br> C. x = 2/5<br> D. x = 1
telo118 [61]
I think its B but im not 100% sure
3 0
3 years ago
Use complete sentences to describe the possible solution(s) to a system of equations that includes the equation of a circle and
goldfiish [28.3K]

Answer:

A general  line can be represented as , y= m x + c

And general equation of circle is , ax²+by²+2 g x +2 f y +c=0

Now there are following possibilities

1. A line and circle have no common point of intersection, that is no solution.

2. A line may be a tangent to a circle, that is one common point, one solution.

3. A line may intersect a circle maximum at two points, that is 2 solution.

Image is depicted below.

3 0
3 years ago
Read 2 more answers
Can Someone please help me with this I don't know it?!?! I have a test on Friday!!! Thank You!
aleksklad [387]

Answer: a = 3.5

Step-by-step explanation:

14=4a

divide both sides by 4

14/4 = 3.5

4a/4 =1a or a

so a= 3.5

3 0
3 years ago
Read 2 more answers
Find an equation for the line below.<br><br> The points are 5,-2 and -5,-6
horsena [70]

Answer:

y=1/2x-4.5

Step-by-step explanation:

y=mx+b

4 0
2 years ago
M/J Grade 8 Pre-Algebra-PT-FL-1205070-003
Andreas93 [3]

Answer:

Following are the description of the given course code:

Step-by-step explanation:

The given course code is Pre-Algebra, which is just an introduction arithmetic course programs to train high school in the Algebra 1. This course aims to strengthen required problem solving skills, datatypes, equations, as well as graphing.

  • In this course students start to see the "big picture" of maths but also understand that mathematical, algorithmic, and angular principles are intertwined to form a basis for higher mathematics education.
  • The duration of this code is in year and it is divided into two levels. In this, code it includes PreK to 12 Education Courses , with the general mathematics .
5 0
3 years ago
Other questions:
  • Darren multiplied two numbers. His product contains 2 decimal places.Which pair of numbers could Darren have multiplied ?
    7·1 answer
  • Lucy has decided to go on a vacation for five days and she has up to $2,500 to spend. Her plane ticket cost $367 and her hotel r
    10·2 answers
  • The base of the triangular flag was 4ft and the height was 3 feet. What is the area of Karmas flag
    14·1 answer
  • Whitney's car goes 33 1/4 miles per gallon of gasoline. How far can it go on 9 1/2 gallons of gasoline?
    5·1 answer
  • What is the answer and how do you do this
    15·1 answer
  • Find the perimeter of the shape below r(-1,3) s(-2,7) t(2,5) u(-1,3)
    13·1 answer
  • Please hurry I will mark you brainliest
    13·1 answer
  • Tell whether each rate is a unit rate. Select all that apply.
    6·2 answers
  • Find the volume. No links please
    9·1 answer
  • Value of 3a – 5b when a = –4 and b = 2 .
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!