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:
In this problem, we have that:
So
The expected number of interviews is 3.25.
The correct answers for x would be
.
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.
11
- 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.
Now we can plug the values into the equation to solve.
Then simplify using the order of operations.
.
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.
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
Answer:
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.
