Answer:
CI(99%) = ( 0.93 , 2.07)
Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)
Critical value z(at 99% confidence) = z(0.005) = 2.58
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 1.5
Standard deviation r = 0.58
Number of samples n = 7
Confidence interval = 99%
Critical value z(at 99% confidence) = z((1-0.99)/2)
z(0.005) = 2.58
Substituting the values we have;
1.5+/-2.58(0.58/√7)
1.5+/-2.58(0.2192)
1.5+/-0.565536
1.5+/-0.57
= ( 0.93 , 2.07)
Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)
Answer:
C
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
The x-intercept is (3,0).
The vertex of the function is (3,0).
Step-by-step explanation:
Given : Function
To find : What are the x-intercept and vertex of this quadratic function?
Solution :
Function
The x-intercept is when g(x)=0.
i.e.
Divide by -5 both side,
Taking root both side,
Add 3 both side,
The x-intercept is (3,0).
The general vertex form of the quadratic function is
where, (h,k) is the vertex
Compare the given function
a=-5 , h=3 and k=0
The vertex of the function is (3,0).
Answer:
Step-by-step explanation:
-5x ( x + 6 ) = 4 ( x - 3 ) - 10
Distribute
Simplify,
Inverse operations;
38 = 2 x 19
68 = 2 x 2 x 17
gcf = 2