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harina [27]
3 years ago
11

It takes 15 hours for 4 men to paint a room.

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

6

Step-by-step explanation:

If there was one man, he would have taken 15×4= 60 hours

To complete the job in 10 hours, 60÷10 = 6 men will be needed

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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
6. f(x) = x ^ 2 + 2x g(x) = 3x ^ 2 - 1
AVprozaik [17]

Answer:

3x^2+1

Step-by-step explanation:

7 0
3 years ago
May I please receive help?
Yuki888 [10]

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

3 0
2 years ago
Read 2 more answers
In a recent survey, 78% of students at Lincoln Middle School said they plan to attend a camp this summer. Write this percent as
prohojiy [21]

Answer:

<em>0.78</em>

Step-by-step explanation:

From the question, we are to represent 78% as a decimal

78%  = 78/100

78/100 = 78 * 1/100

78/100 = 78 * 0.01

78/100 = 0.78

<em>hence the percent written as a decimal is 0.78</em>

3 0
3 years ago
X +2 times -2+107 = 180
Kryger [21]

Answer:

X = -3/7

Step-by-step explanation:

7 0
3 years ago
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