Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
Answer:
1.66
Step-by-step explanation:
Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size
Using this formula
Standard deviation(X)=√np(1−p)
Where,
n represent the number of students=16
p represent the percentage of all students who work full time=22
Let plug in the formula
Standard deviation(X)=√16(0.22)(1−0.22)
Standard deviation(X)=√(3.52)(0.78)
Standard deviation(X)=√2.7456
Standard deviation(X)=1.656
Standard deviation(X)=1.66 (Approximately)
Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66
Answer:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of 
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation: 
to have one distinct solution:
Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:
The equation becomes:
And the one root is:
Answer:
8
Step-by-step explanation:
Answer:
-x^5 - 7x^4 + x^2 + (1/8)x - 9
Step-by-step explanation:
Rewrite the given -9+1/8x-7x^4+x^2-x^5 in descending order of the variable x:
-9+1/8x
-x^5 - 7x^4 + x^2 + (1/8)x - 9
