Answer:
The value of given expression is 1.
Step-by-step explanation:
The given expression is
If a is a real number, then 
.
![[\because a^0=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%5D)
Using exponent property we get,
![[\because a^{-n}=\frac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D%5D)
Therefore the value of given expression is 1.
P(a | b) = p(a ∩ b)/p(b) . . . . . a definition worth remembering
0.2 = p(a ∩ b)/0.5 . . . . . . . . fill in the given values
0.2*0.5 = 0.1 = p(a ∩ b)
p(a ∩ b) = 0.1
Answer:
x=4
Step-by-step explanation:
The y axis is a line where the value of x does not change ( x=0)
It is a vertical line
The only line where the value of x does not change is x=4
It is a vertical line at x=4
The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)
To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1
To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2
ANSWER
The midpoint is (1,2)
Answer: 73.5
Step-by-step explanation:
The percent <em>33 1/3% </em>represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.
Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.
24.5 x 3 = 73.5.
Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!
