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
ira [324]
2 years ago
10

I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.

Mathematics
1 answer:
snow_tiger [21]2 years ago
5 0

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

You might be interested in
A right rectangular prism is 1012 m wide, 1512 m long, and 3 m tall.
Olegator [25]
1012 x 1512 x 3 = 4590432 . the only suitable answer would be A<span />
7 0
3 years ago
Read 2 more answers
If the circumference of the circular base of a cylinder is doubled, how does the volume of the cylinder change?
cricket20 [7]
The volume of the cylinder would increase 
3 0
3 years ago
Read 2 more answers
The table shows the cost for ordering a certain number of pieces of
Helga [31]

Answer:

where is the table

Step-by-step explanation:

where is the table ?

3 0
3 years ago
Read 2 more answers
Suppose a triangle has 3,4, and 5 sides.Which of the following must be true
emmainna [20.7K]
The answer would be C because you wouldn't  know the angles yet.
8 0
3 years ago
Read 2 more answers
Graph the linear function p(x)=-5x
zzz [600]

The graph of linear function p(x)=-5x has Slope: −5 and y-intercept: (0,0)

Steps for graphing an equation using the slope and y-intercept:

Find the y-intercept = b of the equation y = mx + b.

Plot the y-intercept. The point will be (0, b).

Find the slope=m of the equation y = mx + b.

Make a single step, using the rise and run from the slope.

Connect those two points with your line.

Therefore , the graph is attached below of p(x)=-5x which has Slope: −5 and y-intercept: (0,0).

Learn more about graphing linear function here

brainly.com/question/9834848

#SPJ1

7 0
1 year ago
Other questions:
  • Write -3i + (3/4+2i) - (9/3+3i) as a complex number in standard form
    6·1 answer
  • Write a 3 digit number using digits 2,9,4. Draw a quick picture to show the value of your number
    8·2 answers
  • Find the missing length. Leave your answers as radicals in simplest answer
    10·1 answer
  • The diagonals of a square measure 14 cm. Which is the length of a side of the square?
    14·1 answer
  • When 40% of the girls left the school assembly, the ratio of the number of boys to girls became 3 to 4. If there were w girls wh
    8·1 answer
  • Donna picked 448 ounces of apples to make apple cider. How many pounds of apples did she pick
    6·2 answers
  • Describe the transformation
    12·1 answer
  • What is the gradient of the graph shown?<br> Give your answer in its simplest form.
    10·1 answer
  • I WILL GIVE BRAINLIEST PLEASE HELP!!!
    12·1 answer
  • 10
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!