What is 19/5 as a mixed number?
2 answers:
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Answer:
Area of part 1: 3 * =
Area of part 2:
Area of entire rectangle:
Step-by-step explanation:
The area of a rectangle can be found by using formula : length * width.
The area of part 1 can be simplified to this:
3 * =
Area of part 2:
The area of the entire rectangle can simply be added from part 1 and part 2.
For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.
Answer:
x = 3 ± i
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ± = ± i
( add 3 to both sides )
x = 3 ± i
Answer:
Step-by-step explanation:
The expected value for a discrete variable is calculated as:
Where and
are the values that the variable can take and
and
are their respective probabilities.
So, a player can win 2 dollars or looses 1 dollar, it means that is equal to 2 and
is equal to -1.
Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.
If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:
Where
So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.
Therefore, the probability that a player get at least two times number 6, is calculated as:
On the other hand, the probability that a player don't get at least two times number 6, is calculated as:
Finally, the expected value of the amount that the player wins is:
It means that he can expect to loses 0.2101 dollars.