Answer:
P(A ∩ B) = 0.75 (option d)
Step-by-step explanation:
P(A)=0.50
P(B)=0.40
P(A U B)=0.15
P(A ∩ B)=?
P(A U B)=P(A)+P(B)-P(A ∩ B)
Replacing the given values:
0.15=0.50+0.40-P(A ∩ B)
Adding like terms:
0.15=0.90-P(A ∩ B)
Solving for P(A ∩ B):
Subtracting 0.90 both sides of the equation:
0.15-0.90=0.90-P(A ∩ B)-0.90
Subtracting:
-0.75 = -P(A ∩ B)
Multiplying both sides of the equation by -1:
(-1)(-0.75) = (-1) ( -P(A ∩ B) )
0.75 = P(A ∩ B)
P(A ∩ B) = 0.75
Answer:
820
Step-by-step explanation:
Some people may get confused and just calculate this question from left to right, but I was taught to use this formula:
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
--------
So lets multiply first,
163 × 80 = 13,040
153 × 47 = 7,191
153 × 33 = 5,049
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Next, we subtract:
13,040 - 7,191 - 5,049 = 820
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Have a good day :)
Answer:
x=10
Step-by-step explanation:
write equation like this:
14x-77=9x-27
use order of operations aka PEMDAS to solve
youre answer would be x=10
Answer:
I don't know the answer for part C but part B is incorrect
Step-by-step explanation:
PART B: It is a strong positive correlation because the points are in a straight line and the line trends upwards.
