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Nady [450]
3 years ago
10

32 workers can complete a work in 30 days working 6 hours per day. How many days are required to complete the

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

Answer:

45 days

Step-by-step explanation:

32 \times 30 \times 6   \div (16 \times 8)

5760 \div 128

\boxed{\green{ = 45}}

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Suppose that the probability of landing an interview after applying for a professional position is 0.13. A job seeker applies fo
andrew11 [14]

Answer:

The expected number of interviews is 3.25.

Step-by-step explanation:

For each person applying for a profissional position, there are only two possible outcomes. Either they land an interview, or they do not. The probability of a person landing an interview is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

n = 25, p = 0.13

So

E(X) = np = 25*0.13 = 3.25

The expected number of interviews is 3.25.

8 0
4 years ago
Using the quadratic formula to solve 11x^2-4x=1, what are the values of X?
Rashid [163]
The correct answers for x would be \frac{2 +/-  \sqrt{15} }{11}.

In order to find this, we must first get the equation to equal 0. In order to do that, subtract 1 from each side to get the following. 

11x^{2} - 4x - 1 = 0

Knowing this we can now use the quadratic equation using a = 11, b = -4 and c = -1. The quadratic equation is below. 

\frac{-b +/-  \sqrt{ b^{2} - 4ac} }{2a}

Now we can plug the values into the equation to solve. 

\frac{4 +/- \sqrt{ -4^{2} - 4(11)(-1)} }{2(11)}

Then simplify using the order of operations. 

 \frac{2 +/- \sqrt{15} }{11}.
5 0
4 years ago
Jaime knows that 30² is 900. He wonders if knowing that 30² can help him finds 29x31. Raquel knows what 25² equals. How can she
iragen [17]

9514 1404 393

Answer:

  Jaime: yes: 29·31 = 900 -1 = 899

  Raquel: 24·26 = 25^2 -1 = 624

Step-by-step explanation:

The difference of squares factors as the product of the sum and difference of the roots:

  a^2 -b^2 = (a -b)(a +b)

<u>Jaime</u>

  29·31 = (30 -1)(30 +1) = 30^2 -1^2 = 900 -1 = 899

  Jaime can subtract 1 from 30^2 to find 29·31

__

<u>Raquel</u>

  24·26 = (25 -1)(25 +1) = 25^2 -1^2 = 625 -1 = 624

  Raquel can subtract 1^2 from 25^2 to find 24·26.

3 0
3 years ago
timf 3 số tự nhiên lẻ liên tiếp, biết tích của hai số lớn nhất lớn hơn 6 lần số bé nhất là 177 đơn vị
Murljashka [212]

Answer:

13, 15, 17

Step-by-step explanation:

Gọi 3 STN lẻ cần tìm là a, a+2, a+4 (a thuộc N*)

Theo đề bài ta có:

(a + 2)(a + 4) - 177 = 6a

=> a^2 + 4a + 2a + 8 = 6a + 177

=> a^2 + 6a + 8 = 6a + 177

=> a^2 + 6a - 6a = 177 - 8 (chuyển vế)

=> a^2 = 169 = 13^2

=> a = 13

=> a+2 = 15, a+4 = 17

Vậy 3 STN lẻ cần tìm là 13, 15, 17

7 0
3 years ago
Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and
laiz [17]

Answer:

y=.12x+30

Step-by-step explanation:

The total cost would be "Y".

"x" is would be "per text message".

12 cents per text message would be .12x.

And then, on top of that, we have to pay $30 per month. ( + 30 )

Put together, the equation should be y =  .12x + 30.

3 0
3 years ago
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