, and 
. This gives a remainder of
, and 
. This gives a new remainder of
, and 
. This gives a new remainder of
and so there is no remainder.
###
Quicker method: Use the polynomial remainder theorem, which says the remainder upon dividing a polynomial 
by 
is 
. Here we have
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
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), hence
F(- 1, 9) → F'(- 1, - 9)
G(- 2, 1) → G'(- 2, - 1)
H(- 7, 4) → H'(- 7, - 4)
Answer:
y = 3x + 2
Step-by-step explanation:
The shaded region is somewhat going up, and the graph is positive. That leaves 2 answer choices. If you measure the slope by counting the blocks from one point to another by counting up/down from one point to the height to another point, and then go right or left to the other point. the slope is 3, therefore y = 3x +2 is the answer, as it is the only one that the shaded region is above the line and that has a slope of 3. Hope this helps!
Answer:
The first number: 11;
The second number: 22;
The third number: 33
Step-by-step explanation:
The first number: 11
The second number: 11 x 2 = 22
The third number: 11 x 3 = 33
11 + 22 + 33 = 66
