Answer: 90% confidence interval would be (6.022,6.986).
Step-by-step explanation:
Since we have given that
Number of students = 361
Sample mean = 6.504
Sample standard deviation = 5.584
Standard error of the mean = 0.294
At 90% confidence level,
So, α = 0.01
So, z = 1.64
Margin of error is given by
So, Lower limit would be
Upper limit would be
So, 90% confidence interval would be (6.022,6.986).
Answer:
Since the lines are Perpendicular..
The Product of their Gradients = -1
m'm"=-1
m' from y=3x - 5 is 3
3.m" = -1
m" = -1/3.
Since Intercept on y axis = -2...
That of x at that point is =0
y-y' = m"(x-x")
y-(-2) = -1/3( x - 0)
y+2 = -1/3(x)
Multiplying through by 3
3y + 6 = -x
3y + x = -6. This is your Equation
To verify this.
Let's turn it into the Intercept form which is
x/a + y/b = 1
To get 1 at the right hand side... Divide through by -6
3y/-6 + x/-6 = 1
y/-2 - x/6 = 1
You could see directly below y is its intercept and thats -2
Answer:
point m,
Step-by-step explanation:
if you reflect across the x axis then its the same point but in the negatives for y.
sry if its wrong I havent done these in a while
Answer: 1/2
Step-by-step explanation:
To find y-intercept we have to do X=0 in the equation
Then 3*0 - 4y = -2 => y = -2/-4 = 1/2