Answer:
i (x - 1) (x^2 + 4 x + 5)
ii (x-1)(x + (2 - i)) (x + (2 + i))
Step-by-step explanation:
To find the linear terms you have to factorize the polynomial.
Applying the difference of cubes, you find the first linear term. Using the quadratic formula you find the other linear terms.
As you may see the last terms are complex because the result of the square root is negative.
(x + (2 - i)) (x + (2 + i))
Answer:
Step-by-step explanation:
From the table we have to:
Probability of syrup is 0.96
Probability of waffles and syrup is 0.32
P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)
So:
If this equality is met, the probabilities are dependent, if on the contrary
P (Wafles | Syrup) = P (Wafles) then are independent probabilities.
So we have to:
The probabilities are dependent.
Answer:
work is shown and pictured
Answer:
a)
Now we just take square root on both sides of the interval and we got:
b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56
Step-by-step explanation:
423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0
Part a
The confidence interval for the population variance is given by the following formula:
On this case we need to find the sample standard deviation with the following formula:
The sample deviation for this case is s=30.23
The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:
The Confidence interval is 0.98 or 98%, the value of and
, and the critical values are:
And replacing into the formula for the interval we got:
Now we just take square root on both sides of the interval and we got:
Part b
For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56