
This line is in the format
, where
is the slope.
A horizontal line has a slope of
.
A vertical line has an undefined slope.
A positive slope makes the line go upwards and to the right.
<em>A negative slope makes the line go downwards and to the right.</em>
<h3>x is 2 and y is -2</h3>
<em><u>Solution:</u></em>
Given that,
3x-2 equal x-y equals 4
Which means,
3x - 2 = x - y = 4
Therefore,
x - y = 4
Also,
3x - 2 = 4
Simplify above expression
3x - 2 = 4
3x = 4 + 2
3x = 6
Divide both sides by 3
x = 2
Substitute x = 2 in x - y = 4
2 - y = 4
y = 2 - 4
y = -2
Thus x is 2 and y is -2
Answer:

Step-by-step explanation:
Given:
Length of radius of circle = 5 feets
Length of perpendicular bisector = 4 feets
To find:
Area of the shaded portion of the circle
Solution:
As OD is perpendicular bisector of AB,


Area of
= 1/2 (base) × (height) =
square feets
Area of sector AOBC =
square feets
Here, r denotes radius of circle
So,
Area of shaded portion = Area of sector AOBC - Area of
=
Answer:
We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.
Step-by-step explanation:
let p be the proportion of trips included a visit to a theme park.
: p=0.12
: p<0.12
To test, we need to calculate test statistic of the sample proportion as:
z=
where
- p(s) is the sample proportion of trips included visit to a theme park (

- p is the proportion assumed under null hypothesis. (0.12)
- N is the sample size (1565)
Using the numbers, z=
= −0.767 and p(z) is ≈0.222
Since 0.222 > 0.05 we fail to reject the null hypothesis.