Note :- If sample size n > 30 OR Population standard deviation σ is given then We use Z test.
If sample size n < 30 AND Population standard deviation σ is unknown then we use t test.
In this question we are not given Population standard deviations σ1 and σ2.
Also n1 = 14 and n2 = 13 both sample sizes are LESS than 30.
Therefore we use t test.
Given :- Assume the population standard deviations are equal. ( σ1 = σ2)
then Degrees of freedom = n1 + n2 - 2 = 14 + 13 - 2 = 25.
(kindly find the image attached with this solution)
Answer :- Therefore 25 degrees of freedom are used to find the t critical value.
Given:
The equations are
To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is
Where m is slope and b is y-intercept.
On comparing with the slope intercept form, we get
On comparing with the slope intercept form, we get
Since, 
, it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
Haha, you first start off with adding 3 to both sides, cancelling the -3, and adding it to 9. you end up with 5x=12, in which you divide both sides by 5. you get 2 and 2/5 or 12/5! hope that helps :)
The slope of that line is “undefined”. The slope of horizontal lines are 0 and the slope of vertical lines are undefined.
Answer:X2 = 5
Y2 = 4
ΔX = 4
ΔY = 3
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 0.25
When x=0, y = 0.25
When y=0, x = -0.33333333333333
OR
X2 = -3
Y2 = -2
ΔX = -4
ΔY = -3
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 0.25
When x=0, y = 0.25
When y=0, x = -0.33333333333333
