Answer:
<em>f(x) = x² (2+i)x-15-3i</em>
Step-by-step explanation:
Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))
Multiplying both factors
f(x) = (x+3)(x-(5+i))
f(x) = (x²-(5+i)x+3x -3(5+i))
f(x) = x² - (5+i- 3)x -15-3i
f(x) = x² (2+i)x-15-3i
<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>
Answer:
We know that n = 50 and p =0.78.
We need to check the conditions in order to use the normal approximation.
Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:
![p \sim N (p, \sqrt{\frac{p(1-p)}{n}})](https://tex.z-dn.net/?f=%20p%20%5Csim%20N%20%28p%2C%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%29%20)
With the following parameters:
![\mu_ p = 0.78](https://tex.z-dn.net/?f=%20%5Cmu_%20p%20%3D%200.78)
![\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586](https://tex.z-dn.net/?f=%5Csigma_p%20%3D%20%5Csqrt%7B%5Cfrac%7B0.78%2A%281-0.78%29%7D%7B50%7D%7D%3D%200.0586)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
We know that n = 50 and p =0.78.
We need to check the conditions in order to use the normal approximation.
Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:
![p \sim N (p, \sqrt{\frac{p(1-p)}{n}})](https://tex.z-dn.net/?f=%20p%20%5Csim%20N%20%28p%2C%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%29%20)
With the following parameters:
![\mu_ p = 0.78](https://tex.z-dn.net/?f=%20%5Cmu_%20p%20%3D%200.78)
![\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586](https://tex.z-dn.net/?f=%5Csigma_p%20%3D%20%5Csqrt%7B%5Cfrac%7B0.78%2A%281-0.78%29%7D%7B50%7D%7D%3D%200.0586)
(x-1) (x + 10)
Step-by-step explanation:
I think it's this but I'm not sure if I did it right
Answer:
the carpenter lost 500
Step-by-step explanation:
if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500
Answer:
$24.04
Step-by-step explanation:
3 x $16.99 = $50.97
1 x $24.99 = $24.99
$24.99 + $50.97 = $75.96
$100 - $75.96 = $24.04