Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.
The answer is 71°.
x = angle
3x = 90 - x - 14
4x - 76
x = 19°
90 - x = 71°
Answer: 5 problems correct
Work Shown:
20% of 25 = 0.20*25 = 5
We have to simplify and get the value of x from this inequality given:
Given inequality,
Now let's simplify by using distributive property,
We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.
Now, dividing -2 from both sides.
Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.
Now subtracting -7 from both sides,
Or, Interval of the equal
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4 × n = 4n
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