Answer:
1. P(C AND D) = 0.3
2. (C.) C and D are not mutually exclusive because P(C AND D) ≠ 0
3. (A.) The events are not independent because P(C | D) ≠ P(C)
4.P(D | C) = 0.5
Step-by-step explanation:
• Let P(C) = 0.4
• Let P(D) = 0.5
• Let P(C | D) = 0.6
1.) Find P(C AND D).

2.) Events can be mutually exclusive meaning the both event cannot happen at the same time. So, P(A and B) = 0
3.) Events can be "Independent", meaning each event is not affected by any other events.
4.) Find P(D | C)

Answer:

Step-by-step explanation:
To write: third root of x to the fourth power, to the fifth power into an expression with a rational exponent
Solution:
Exponent refers to the number of times a number is multiplied to itself.
Exponent is sometimes also known as power.
Third roots of 
Third root of x to the fourth power
Third root of x to the fourth power, to the fifth power
Answer: 
Step-by-step explanation:
The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:
Temperature in 
Time in 
Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature
divided by the time variation
.
Hence, assuming the ambient temperature of the glass is
and the elapsed time
we have:

Answer:
D. 60, 45,75
Step-by-step explanation:
For options C and D
For a triangle the sum of the angles must always be equal to 180 degrees
So 180 ≠45+45+80
and
60 +45+ 75= 180
For option A and B
The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.
According to Pythagorus theorem
hypotenuse²= base² + perpendicular²
c²= a²+ b²
90²= 50² + 35²
8100= 2500+1225
8100≠3725
95²= 60²+ 25²
9025= 3600+ 625
9025≠4225
Therefore only D is the correct option
Answer:
3 option is correct
Step-by-step explanation:
because all the domains and ranges calculation matches in eqn 3