Answer:
0.166 = 16%
Step-by-step explanation:
There are three different options to pick in the bag, so the probability of getting a nickel first is 1/3, and then the probability of getting a penny without replacing the nickel is 1/2, as there will be only 2 options remaining after the nickel was picked.
So the final probability is the product of these probabilities:
P = (1/3) * (1/2) = 1/6 = 0.166 = 16%
The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Step-by-step explanation:
Given,
Charges of first mechanic = $95 per hour
Charges of second mechanic = $115 per hour
Total hours = 25
Total amount charged = $2675
Let,
The number of hours worked by first mechanic = x
The number of hours worked by second mechanic = y
According to given statement;
x+y=25 Eqn 1
95x+115y=2675 Eqn 2
Multiplying Eqn 1 by 95

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 20

Putting y=15 in Eqn 1

The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Circumference of entire circle = 2 * PI * 10
circumference of entire circle =
<span>
<span>
<span>
62.832 feet
81 degrees is (9/40) of a circle
62.832 * </span></span></span><span>(9/40) = </span>
<span>
<span>
<span>
14.1372
</span>
</span>
</span>
Source:
http://www.1728.org/radians.htm
A horizontal translation and a 180 rotation.