Answer:

Step-by-step explanation:
Given

----- variance
------------ sample
Required
Determine the S.E
The estimated standard error (S.E) for the sample mean is calculated using the following formula:

Where




So:




Hence: the estimated standard error for the sample mean is 2
The value of x when the triangle and the parallelogram have the same area is 6 units
<h3>The dimensions</h3>
The dimension of the parallelogram is given as:
The dimension of the triangle is given as:
<h3>Areas</h3>
The area of a shape is the amount of space it occupies
The area of the parallelogram is calculated as:

The area of the triangle is calculated as:


Both areas are equal.
So, we have:

Divide both sides by x

Subtract 4 from both sides

Hence, the value of x is 6 units
Read more about areas at:
brainly.com/question/2126265
Answer:
x = 8, y = 8√2
Step-by-step explanation:
x = 8
y = 8(√2) = 8√2
Y = mx + b....for b
subtract mx from both sides
y - mx = b <==
Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34