Answer is 161, i read minus -50 as subtracting the negative 50
The correct answer is
![A) x^2 - 6x + 9](https://tex.z-dn.net/?f=A%29%20x%5E2%20-%206x%20%2B%209)
In fact, this is a trinomial of the form
![ax^2-bx+c](https://tex.z-dn.net/?f=ax%5E2-bx%2Bc)
, whose solutions are given by
![x_{1,2}= \frac{-b\pm \sqrt{b^2 -4ac} }{2a}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%20%20%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2%20-4ac%7D%20%7D%7B2a%7D)
Using this formula for the trinomial of the problem, we find:
![x1,2= \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3](https://tex.z-dn.net/?f=x1%2C2%3D%20%20%5Cfrac%7B6%20%5Cpm%20%5Csqrt%7B6%5E2-4%5Ccdot%201%5Ccdot%209%7D%7D%7B2%7D%20%3D3)
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
</span>
![(x-3)^2](https://tex.z-dn.net/?f=%28x-3%29%5E2)
<span>
</span>
Answer:
5/6
Step-by-step explanation:
probability of rolling a 5 on a die=1/6
P of not rolling a 5 = 1-1/6= 5/6
Answer:
a) 60%
Step-by-step explanation:
This problem can be solved through binomial probability
Let's say probability of success is the probability of absent
p = 5% = 0.05
Probability of failure
q = 1-p = 0.95
The number of trial in this case is the number of employees randomly selected
n = 10
Since we are looking for 0 absent employee, we are looking for the probability that the success is nil (i.e 0)
x = 0
Binomial therorem
B(n,x,p) = B(10,0,0.05)
= C(10,0) * p^x * q^(n-x)
= 1 * (0.05^0) * (0.95^10)
= 1 * 1 * 0.95^10
= 0.59873693923
= 0.6 or 60%
Answer:
the answer is a
Step-by-step explanation:
above sea level is positive and below sea level is negative
hope this helps