Answer:

Step-by-step explanation:
The explanation of given question is described below:
Here, the test of hypothesis states that

The test statistic is


= 2.1
According to the given data α = 0.05,
So, the major value is

(refer to the standard normal table)
.
Finally

The correct question is
<span>The radius of a cylinder is 5" and the lateral area is 70pi sq. in. Find the length of the altitude.
</span>
we know that
[surface lateral area]=(2*pi*r)*height
height= [surface lateral area]/(2*pi*r)
surface lateral area=70*pi in²
r=5 in
so
height= [70*pi]/(2*pi*5)------> 7 in
the answer is
7 in
Answer:
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Step-by-step explanation:
we have

This is a vertical parabola open downward
The vertex is a maximum
Find the vertex
step 1
Factor the leading coefficient -4

step 2
Complete the square

step 3


step 4
Rewrite as perfect squares

the vertex is the point (1,-21)
so
The maximum value of the quadratic equation is (1,-21)
therefore
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Answer:
576.2
Step-by-step explanation:
The formula for the area of a triangle is
. Since this square pyramid is essentially four triangles with base length 21.5 feet and height 13.4 feet, we can calculate the area that they take up with the formula
square feet. Hope this helps!