Answer:
Step-by-step explanation:
we have the ordered pairs
(8, –1) and (2, –5)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values in the formula
simplify
The equation of the line in point slope form is
we have
substitute
Convert to standard form
The equation of the line in standard form is equal
where
A is a positive integer
B and C are integers
we have
Multiply by 3 both sides to remove the fraction
apply distributive property right side
Group the variables in one side and the constants in the other side
---> equation in standard form
<span>the question does not present the options, but this
does not interfere with the resolution</span>
we know that
Perimeter of rectangle=2*[W+L]
where
L is the length of rectangle
W is the width of rectangle
Perimeter=18 cm
so
18=2*[W+L]-----> divide by 2------> 9=W+L
Let
x-------> L
y-------> W
then
x+y=9
using a graph tool
see the attached figure
the slope of the line is m=1
the x intercept is the point (9,0)
the y intercept is the point (0,9)
Answer:
domain: (3, 4, 5, 6)
range: (2.1, 2.7, 3.1, 4.1, 5.1)
Step-by-step explanation:
domain is the x value
range is the y value
you do not write the same number twice
write the domain and range in alphabetical order
4x + 3 < 3x + 6
4x - 3x < 6 - 3
x < 3
The confidence interval is
.
This means that if we take repeated samples, 99% of the intervals would contain the population proportion.
To construct this interval, we use
,
where
Since 590/1016 said they had a cat and a dog, p=0.581 and N=1016:
We need the z-score associated with this confidence level:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.95 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table, we see that this value is equally distant from z=2.57 and z=2.58, so we will use z=2.575: