Answer:
Step-by-step explanation:
We want to find the sum of
We can rewrite this as
This becomes;
Recall that;
This implies that;
Combine like terms:
in september 2016, the cost of gasoline in Berlin was around 1.25 euros per liter. what would the equivalent cost be in u.s. dol
2 answers:
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Part A: Option e:
Option f:
Part B: Option c:
Option d:
Part C: Option a:
Option b:
Explanation:
Part A: The equation is
Simplifying, we have,
Taking the term 5 common out, we have,
Thus, the above two expressions are equivalent to the equation .
Hence, Option e and Option f are the correct answers.
Part B: The equation is
Taking the term 15 common out, we have,
Also, the equation can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option c and Option d are the correct answers.
Part C: The equation is
Multiplying, we have,
The above expression can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option a and Option b are the correct answers.
Answer:
a. 52%
b. 40%
Step-by-step explanation:
Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,
Then according to the question,
P(A) = 20% = 0.2,
P(B) = 40% = 0.4,
Here, A and B are independent events,
So, P(A∩B) = P(A) × P(B),
⇒ P(A∩B) = 0.2 × 0.4 = 0.08
We know that,
P(A∪B) = P(A) + P(B) - P(A∩B)
a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08
= 0.52
= 52%
b. The conditional probability it rains on Tuesday given that it rained on Monday,