Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
We have to put the data for purchased item in a frequency table.
Step-by-step explanation:
The diagram is attached below.
Firstly we have to see that how many customers fall under range
.
Then
.
Then
.
Finally
.
If we go through the items purchased by customers we can see that item ranges from
have
customers.
Item purchased range from
have
customers.
Item purchased range from
have
customers.
Item purchased range from
have
customers.
Total number of customers = 
As we have total
number of customers and they have varied quantity of items purchased.
Answer:
a) n = 1037.
b) n = 1026.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of 
The margin of error is:

99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use
, which is when we are going to need the largest sample size.






Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

So






Rounding up
n = 1026.
Answer:
D. Subtraction property of equality; n = 15
Step-by-step explanation:
Given equation that shows the cost of n basketballs uniforms,
C = 40n + 260
According to the question,
Total cost = $ 860,
⇒ 40n + 260 = 860
Using subtraction property of equality, subtract 260 on both sides,
⇒ 40n = 860 - 260
⇒ 40n = 600
Using division property of equality, divide both sides by 40.
⇒ n =
= 15.
Hence, 15 uniforms were purchased.
i.e. Option D is correct.
Answer:
ICm= international federation midwives
Step-by-step explanation:
there examples are:
i) Representing midwifery as sociation for works supports
ii) strengthen professional associations of midwives on a global basis.