Answer:

Step-by-step explanation:

Distribute the parenthesis

Add 20 to both sides

Divide both sides by 2


Hope this helps
Answer:
B
Step-by-step explanation:
<u>Question 1</u>
If we let
, then
.
Also, as
bisects
, this means
.
Thus, by the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning CE=8
Answer:
Height of the box = 11.5 in
Step-by-step explanation:
Let h be the height of the box.
Assuming the volume of the Box is
.
Given:
Length = Height - 4 = h - 4
Width = 3 in
We need to find the height of the box.
Solution:
We know that the volume of the box.

Substitute all given value in above formula.

Rewrite the equation as:



whole equation divided by 3.

Use quadratic formula with

Put these a, b and c value in above equation.




For positive sign
h = 11.5 in
For negative sign

h = -7.5
We take positive value of h.
Therefore, the height of the box h = 11.5 in
Answer:
The sample proportion of successful procedures is 0.962.
Step-by-step explanation:
The sample proportion of successful procedures is the number of successfiç procedures divided by the total number of procedures.
In this problem:
158 procedures, of which 152 were successful. So
p = 152/158 = 0.962
The sample proportion of successful procedures is 0.962.