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
dybincka [34]
1 year ago
6

an environmental agency is analyzing soil samples from 50 farms for lead contamination. eight of the farms have dangerously high

levels of lead. ten farms are randomly selected from the sample. using technology, how many ways could two contaminated farms and eight noncontaminated farms be chosen?
Mathematics
1 answer:
shutvik [7]1 year ago
3 0

Number of ways , two contaminated and 8 non- contaminated farms be choosen is 3,304,845,180.

Permutation and Combination

Combination is a mathematical way to arranging the set of values randomly.

ⁿCᵣ = n! / r! (n-r)!

we have given that ,

total number of farms for lead contamination = 50

Number of farms have dangerously high level of lead = 8

so, number of non- containmated farms ( no high level of lead ) = 50-8 = 42

We have to find the number of ways to choose two contaminated farms and eight non- contaminated farms. Two containmated farms are selected from 8 containated farms and 8 non- contaminated farms are selected from 42 farms .

Number of ways for selecting two containmated farms = ⁸C₂ = 8!/2!×6! = 8×7/2 = 28

Number of ways for selecting eight non-containmated farms from 42 farms = ⁴²C₈

= 42! / 8! 34! = 42×41×---×35/8×7×----×1

= 118013185

The total number of ways to obtain 2 containmated farms and 8 non- contaminated farms in 10 farms selected is then product of number of ways to select the 2 containmated farms and number of ways to select 8 non-containmated farms .

= 118030185× 28 = 3,304,845,180

To learn more about Combination and Permutation, refer:

brainly.com/question/28065038

#SPJ4

You might be interested in
A man walks iinto a store with 25.50 and walks out with 5.25 how much did he spend?
san4es73 [151]
He spent exactly 20.25, so it's A.
7 0
3 years ago
Read 2 more answers
The dimensions (width and length) of room1 have been read into two variables : width1 and length1 . The dimensions of room2 have
Lorico [155]

Answer:

Total area of the two rooms   =   (width1length1) +   (width2length2)

Step-by-step explanation:

The area of the rectangular shape is given by = Length * breadth

Therefore the area of the two rooms can be calculated using the above formula when the variables lengths and widths are given.

Area 1= Area of the first room = length * breadth=  (width1length1)

Area 2=Area of the second room = length * breadth=  (width2length2)

Total area of the two rooms = Area1 + Area 2

                                         =   (width1length1) +   (width2length2)

5 0
2 years ago
We have 10 gallons of gas in the car. we use 1 5/8 gallons each hour. How many hours of gas do we have?
Andre45 [30]
So you have 10 gallons of gas
You use 1.625 or 1.63 an hour

You can either do 10/1.625 = 6 hours and 15 mins
You can either do 10/1.63 = 6 hours and 13 mins



5 0
3 years ago
Find three consecutive odd integers such that 10 times the first, plus 10 times the second, equals 10 more than 10 times the thi
SIZIF [17.4K]

Answer:

4

Step-by-step explanation:

If x is the third number, then x−1 and x−2 are the second and first numbers.

10(x−2) + 10(x−1) = 10 + 10x

x − 2 + x − 1 = 1 + x

2x − 3 = 1 + x

x = 4

8 0
3 years ago
Maxwell’s vegetarian tacos requires 3/4 tablespoon of chili powder for every 1/2 pound of vegetables. How much chili powder will
Zina [86]

Answer:

1 1/8 or 9/8

Step-by-step explanation:

Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.

The first proportion will be..

\frac{x}{y} x is 3/4 and y is 1/2. Across from that proportion make another one

\frac{x}{y} x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.

Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.

Hope this wasn't too confusing :)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Plz help me answer plz help
    7·1 answer
  • What is 16/48 equivalent to?
    7·1 answer
  • Which expression is equivalent to 8/15?<br> A. 8÷1/5<br> B. 8÷15<br> C. 15÷1/8<br> D. 15÷8
    6·1 answer
  • What is negative 3÷0
    6·2 answers
  • Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
    9·1 answer
  • What is 3r³/2r<br>how do I go about solving it <br>thanks​
    15·2 answers
  • Helpppppp me plzzzzzzzzzz
    6·2 answers
  • How much simple interest would be earned on a certificate of deposit worth
    15·1 answer
  • Solve the system of equations by graphing<br>2x+y=8<br>x+3y=9​
    6·1 answer
  • en un colegio mixto hay x estudiantes distribuidos en c cursos. Si hay m niños por curso, ¿Cuantas niñas hay en el colegio?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!