Answer:
$0.0646 is the expected value of the draw.
Step-by-step explanation:
1 nickel = 5 cents
1 dime = 10 cents
1 penny = 1 cent
Total number of coins =
Probability that a nickel is selected is = 14/35
Probability that a dime is selected is = 15/35
Probability that a penny is selected is = 6/35
So, the expected value of the draw will be =
= 6.457 cents ≈6.46 cents
So, in dollars it is = = $0.0646
So, $0.0646 is the expected value of the draw.
Answer:
The area of the remaining figure is
Step-by-step explanation:
<u>Area of the Square Shape</u>
Given a square of side length x, the area is calculated by the formula:
It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.
The area of the square of side length y is:
The shaded area of the remaining figure is the difference between both areas:
The area of the remaining figure is
When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:
As the angle 3 is congruent with angle 2:
