Find the remainder when f(x) = x^3 + 14x^2 − 7x − 10 is divided by x − 3.
1 answer:
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Answer:
1) (1,3,4.7)
2) 6.8
3) the square root of the variance
4) has the same units as the underlying data
5) It has predictive power.
Step-by-step explanation:
From question one, it is possible to use an excel formula to calculate the variance of the set of numbers.
Now, to calculate the variance in an Excel sheet:
Make sure your data is in a single range of cells in Excel.
If your data represents the entire population, enter the formula as "=VAR. P(A1:A4). Since, we were given four variables
The variance for your data will be displayed in the cell.
i.e for set of numbers (7, 8, 9, 10)
variance = (VAR. P(A1:A4))
= 1.25
for set of numbers (1, 3, 4, 7)
variance = (VAR. P(A1:A4))
= 4.69
for set of numbers (4,2,1, 0)
variance = (VAR. P(A1:A4))
= 2.19
for set of numbers (1, 0, 2, 4)
variance = (VAR. P(A1:A4))
= 2.19
The set of numbers (1,3,4.7) indicates the largest variance from the foregoing.
2) What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?
Using the same method explained in question 1, the population variance of the following set of numbers 3,5,8,9,10 can be calculated as:
For the set of numbers (3, 5, 8, 9, 10)
Variance = (VAR. P(A1:A5)) since it contains five sets.
= 6.8
3) Variance can be defined as the average of the squared differences from the Mean. Therefore, Standard deviation is the square root of the variance which is given as:
where;
s = sample standard deviation
N = the number of observations
= the observed values of a sample item.
x= the mean value of the observations
4) Standard deviation is useful because it has the same units as the underlying data
5) Of all the characteristics of Standard deviation when relating to finance, Standard deviation do not possess predictive power.
Answer:
- 110110 in base 2 when converted in base 10 will be equal to 54
- 25 in base 10 is equal to 1001 base 2
Step-by-step explanation:
Part 1: 110110two to base ten
For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2
So
So 110110two when converted in base 10 will be equal to 54
Part 2: 25ten to base two
For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:
25/2 = 12 remainder 1
12/2 = 6 remainder 0
6/2 = 3 remainder 0
3/2 = 1 remainder 1
Now the remainders will be written in inverse order as:
=1001 base 2
So 25 in base 10 is equal to 1001 base 2
I hope it will help you!