D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1
Answer:
Factorizing as the Difference of Two Squares
1. 144x2 - 49
Step-by-step explanation:
Where is the picture?
Answer:
The statement that "the margin of error was given as
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval
; where
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:

Where:
is the critical value that corresponds to the confidence level; the confidence level being
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
(iii)
Step-by-step explanation:
The x-intercepts of graph (iii) match the given factors.
Answer:
Part A)
Part B)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Part A) Determine the slope for the line that passes through the points (3,5) and (−1,−7)
substitute the values in the formula
Part B) Determine the slope for the line that passes through the points given by the table of values
Looking at the given table, take two points
(0,-5) and (2,-3)
substitute the values in the formula