Answer:
y =
x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - 2y = - 6 into this form
Subtract 3x from both sides
- 2y = - 3x - 6 ( divide all terms by - 2 )
y =
x + 3 ← in slope- intercept form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← partial equation of parallel line
To find c substitute (4, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y =
x - 4 ← equation of parallel line
You can solve using the pythagorean theorem which is
a^2+b^2=c^2 where a and b are the legs and c is the hypotenuse in a right triangle.
12^2+x^2=24^2
144+x^2=576
x^2=432
x =20.78 (approximately)
Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this: