Answer:
The standard deviation of the number of defective bulbs produced in an hour is 6.615
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
What is the standard deviation of the number of defective bulbs produced in an hour
The standard deviation of the number of defective bulbs produced in an hour is 6.615
Answer:
Isosceles triangle.
Step-by-step explanation:
In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;
For XY;
X(-4,2), Y(4.2)
XY = √(2-2)²(4-(-4)²)
XY = √(4+4)²
XY = √8²
XY = 8
For XZ;
X(-4,2), Z(0, - 1)
XZ = √(-1-2)²(0-(-4))²
XZ = √(-3)²+4²
XZ = √9+16
XZ = √25
XZ = 5
For XZ;
Y(4.2), Z(0, - 1)
YZ = √(-1-2)²(0-(4))²
YZ = √(-3)²+(-4)²
YZ = √9+16
YZ = √25
YZ = 5
Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.
NB: Isosceles triangle only have two of its sides and angles equal
Answer:
Please check the explanation.
Step-by-step explanation:
Given the polynomial function
Let us determine the factors by solving
Using the zero factor principle:
if 
Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.
Therefore,
YES
And (x-2) (x+6) are not the factors of the polynomial function.
Therefore,
YES
I’m pretty sure the answer is 12
Answer:
Step-by-step explanation:
Good evening ,
I guess it’s the C expression,
Because, C. 3n^2+n-2 so the coefficient of the term n is 1 and the coefficient of the term n^2 is 3
:)
