Find the three arithmetic means between -5 and -25

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

3 years ago

Write -12 in the improper fraction form.

nydimaria [60]

Answer:

$\frac{-12}{1}$

Step-by-step explanation:

An Improper Fraction has a top number larger than (or equal to) the bottom number.

To convert a whole number -12 into an improper fraction we can divide the whole number by one to turn it into a temporary fraction.

$\frac{-12}{1}$

Also we could multiply and divide -12 by another number greater than one, for example:

$\frac{-12*2}{1*2} = \frac{-24}{2}$

There are several ways we can write -12 in the improper fraction form.

6 0

3 years ago

alex purchased 20,000 for a new car. The cars value depreciates 7.25% each year. What will be the value of the car five years af

Ugo [173]

The answer would be 18550$. you would find 7.25% of 20000, multiply it by 5, then subtract it from 20000 to get 18550$.

8 0

3 years ago

Sin0=12/37 find tan0

alexira [117]

Answer:

$\large{ \tt{❃ \: EXPLANATION}} :$

We're provide - Sin θ = $\frac{12}{37}$ which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = $\tt{ \frac{p}{h}}$ ] . We're asked to find out tan θ ].