Answer:
y=3x+1
Step-by-step explanation:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
3
b
=
1
=
m
x
+
b
.
m
=
3
b
=
1
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
3
y-intercept:
1
The value of x is 12. 94°
<h3>How to determine the angle</h3>
From the diagram shown, we can see that the two angles are on a straight line.
It is important to note that angles on a straight line sum up to 180 degrees
Hence, we have;
(11x- 15) + 5x - 12 = 180°
collect like terms
11x + 5x - 15 - 12 = 180
Add like terms
16x - 27 = 180
16x = 180 + 27
16x = 207
Make 'x' the subject of formula
x = 207/ 16
x = 12. 94°
Thus, the value of x is 12. 94°
Learn more about angles here:
brainly.com/question/14362353
#SPJ1
Answer: 95% confidence interval = 20,000 ± 2.12

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )
Step-by-step explanation:
Given :
Sample size(n) = 17
Sample mean = 20000
Sample standard deviation = 1,500
5% confidence
∴
= 0.025
Degree of freedom (
) = n-1 = 16
∵ Critical value at ( 0.025 , 16 ) = 2.12
∴ 95% confidence interval = mean ± 


Critical value at 95% confidence interval = 20,000 ± 2.12

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )