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Digiron [165]
2 years ago
14

Please help! Correct Answers only!

Mathematics
1 answer:
denpristay [2]2 years ago
3 0

Answer:

Using the given formula:

I = P × R ×T

I = 40000 × 15/100 × 2

I = $12000

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I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

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.

5 0
2 years ago
Solve:<br> 2(2x + 3) = -6(x + 9)
jek_recluse [69]

Answer:

The answer is x = -6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The angles in a triangle have<br><br> measures of 61°, (3z), (z-5)<br><br> What is the value of z?
vfiekz [6]

Answer:

z = 31

Step-by-step explanation:

A triangle adds up to 180 degrees

Therefore this equation is formed: 61 + 3z + z -5 = 180

Simplify:

4z = 124

z = 31

5 0
2 years ago
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur
julsineya [31]

I hope this helps you

6 0
2 years ago
If w=-4, which inequality is true
vlabodo [156]

Step-by-step explanation:

the answer would be the last one

cuz if u do -4(-4) it equals 20

and if u do -5+20 it equals 15

and 15>10

4 0
2 years ago
Read 2 more answers
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