Answer:
Area = 166cm² (Approximately)
Step-by-step explanation:
To solve this, let's recall the formula for the area of a REGULAR Hexagon.
The area of a REGULAR Hexagon is expressed as:
A = (3√3 * a²) / 2
Where a is the length of one side of the Hexagon.
a= 8cm.
Area = (3√3 * 8²) / 2
Area = (3√3 * 64) / 2
Area = (192√3) / 2
Area = 332.55 / 2
Area = 166.28cm²
Area = 166cm² (Approximately)
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
Answer:
7 ⁻²²
Step-by-step explanation:
7¹⁶/7¹² = 7⁻¹⁸/7ˣ
7⁽¹⁶⁻¹²⁾ = 7⁽⁻¹⁸⁻ˣ⁾
16 - 12 = - 18 - x
4 = - 18 - x
x = - 18 - 4
x = - 22
37. 3/8 hours
You can get this by dividing 3/4 by 2.
The key to doing these types of problems is remembering that if they are going faster by that much, it doesn't matter what the speeds are. You can treat it as if one is standing still and the other is going 2mph.
Answer:
If the conclusion is false, then one or more of the premises must also have been false.
Step-by-step explanation:
One important distinguishing feature of valid arguments is that - if the conclusion is false, then one or more of the premises must also have been false.
An argument form is said to be valid, if and only if, when all premises are true, then the conclusion is true.
