Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
First put it in decreasing power according to x.
x^4-5x+8+x^2
=x^4+x^2-5x+8
Now this question is asking what is the highest degree of x you see in this function.
4 of course.
Therefore the answer to his question is degree of 4.
Done!
The money was invested for 3 years
Answer: The value of the center increases and the distribution has a smaller spread.
Step-by-step explanation:
Re - arranging the first value in ascending order , we have :
12 ,14, 16 , 19, 21 , 22 , 28 , 32
Median = 19 + 21 / 2
= 40/2
= 20
Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean
Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32 / 8
Mean = 164/8
Mean = 20.5
Therefore to calculate the standard deviation, we need to calculate the variance, which is
+
+ 
+ 
+ 
+ 
+ 
+ 
/ 8
Variance = 328/8
Variance = 41
Standard deviation = 
S.D = 
S.D = 6.4
Also re arranging the second values , we have :
20 , 24 , 25 , 31
Median = 24 + 25 / 2
Median = 49/2
Median = 24.5
Calculating the S.D using the same format , the S.D = 3.9
Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread
