The Venn Diagram that represents the problem is shown below
P(E|F) and P(F|E) are the conditional probability.
P(E|F) is given by P(E∩F) ÷ P(F) = ¹/₂ ÷ ¹/₂ = 1
P(F|E) is given by P(F∩E) ÷ P(E) = ¹/₂ ÷ ¹/₂ = 1
Answer:
<u>70 square units</u>
Step-by-step explanation:
<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>
The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:
Area of Arrow = Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 * base * height
Base is 12 units
Height is 7 units, so
Area of Triangle = 0.5 * 12 * 7 = 42
Now,
Area of Rectangle = length * height
Length is 7
Height is 4
Area of Rectangle = 7 * 4 = 28
<u>Area of Arrow = 42 + 28 = 70 square units</u>
Answer:
0.08 cubic feet.
Step-by-step explanation:
You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble.
The original statue in Vienna is 7 feet tall.
First we will convert this to inches as one relation is given in inches.
1 feet = 12 inches
7 feet =
inches
Let the amount of marble used for 84 inches statue be = x
We can relate both the conditions in the following way:


x = 134.40 cubic inches
Now, 1 cubic inch =
cubic foot
So, 134.40 cubic inches =
cubic foot
= 0.0777 cubic feet rounding to 0.08 cubic feet.
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant
This problem is an Arithmetic Sequence
where
the first term is 
and
the common difference is 
In general we can write an Arithmetic Sequence as a rule

where
a1 is the first term
d is the common difference
so

<u>Find the term a7</u>
![an=a1+d*(n-1)\\ \\ a7=23+(-2)*[7-1]\\ \\\\ a7=23-12\\ \\\\ a7=11](https://tex.z-dn.net/?f=%20an%3Da1%2Bd%2A%28n-1%29%5C%5C%20%5C%5C%20%20a7%3D23%2B%28-2%29%2A%5B7-1%5D%5C%5C%20%5C%5C%5C%5C%20a7%3D23-12%5C%5C%20%5C%5C%5C%5C%20%20%20%20a7%3D11%20%20%20%20%20)
therefore
<u>the answer is</u>
