Answer:
T.A. = 16√3 units²
Step-by-step explanation:
∵ The total area = the area of the four faces
∵ The four faces are equilateral triangles with side length 4
∵ Area of the equilateral Δ = 1/4 s² √3
∴ T.A. = 4 × 1/4 × 4² × √3 = 16√3 units²
Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so

and

where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates


The x-coordinate of P is equal to

where
A_x represent the x-coordinate of A
substitute the values

therefore
The x-coordinate of point P is 6
Answer:
<h2>69.5</h2>
Step-by-step explanation:
Given the confidence interval of the heights of american heights given as (65.3,73.7);
Lower confidence interval L = 65.3 and Upper confidence interval U = 73.7
Sample mean will be the average of both confidence interval . This is expressed mathematically as 

Hence, the sample mean is 69.5
The probability can be modeled using the following formula:

wherein X follows the density

Now for k = 3 we get:
The probability we are looking for is 0.15.
Do you have any question ?
X= 9<span> and y= </span><span>8 ----------------------------------------------------------</span>