Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
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 x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
The coordinates of the point intersection of lines (-1, -1)
If you want solve:
y = -2x - 3, y = 3x + 2
-2x - 3 = 3x + 2 |+3
-2x = 3x + 5 |-3x
-5x = 5 |:(-5)
x = -1
Put the value of x to the first equation:
y = (-2)(-1) - 3 = 2 - 3 = -1
x = -1, y = -1
<span>the equation -2x² + 5x -3=0, we notice that the sum of the coefficient equals 0, -2+5-3=0, if such a case happens, the solution of the previous equation will be, x=1 (always) and x= c/a, a=-2, and c=-3, so x=-3/-2, finally, the answer is: the 2 in the denominator should be -2</span>
Answer:
X=-2
Step-by-step explanation:
The axis of symmetry for any parabola is the x value of the vertex. Dividing the parabola along the vertex will always yield two symmetric halves.
Answer:
supplementary angles add up to 180 degrees and complementary add up to 90 degrees
Step-by-step explanation: