Answer:
y=3x+10
Step-by-step explanation:
2=-12+b
b=10
Answer:
a) We need a sample size of at least 3109.
b) We need a sample size of at least 4145.
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) he uses a previous estimate of 25%?
we need a sample of size at least n.
n is found when
. So






We need a sample size of at least 3109.
(b) he does not use any prior estimates?
When we do not use any prior estimate, we use 
So






Rounding up
We need a sample size of at least 4145.
List all the factors.
Factors of 15: 1, 3, 5, 15
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The common factors of 15, 45, and 90 are 1, 3, 5, and 15.
If the Hansens want to reduce their expected estate tax liability prior to the death of either of the spouses, they could initiate a Marital Transfer.
<h3>What is a marital transfer?</h3>
A Marital transfer simply means that the Hansens should bequest their assets to each each other in case either of them die.
If this happens, the surviving spouse will not be charged any estate taxes because bequests to spouses are not subject to taxation.
To do this, the Hansens should put it into both of their wills that they plan to gift/ bequest their assets to their spouse if they die.
The big disadvantage of using a marital transfer however, is that the estate will still be subject to taxes when the surviving spouse dies. All the estate taxes that had been avoided would then be incurred by the estate but only after the death of both spouses.
In conclusion, they should use a marital transfer.
Find out more on estate taxes at brainly.com/question/6362495
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Answer:

Step-by-step explanation:
In a coin toss the probability of tossing a head is 0.5 (50% head/50% tails)
If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of
so:

<u>For example, to toss 4 heads in 5 rounds: </u>



