Area of the figure:
Af = a² + 2 a²/4 π = 2.57 a²
Area of the shaded region:
As = 2 a²/4 π = 1.57 a²
x = (1.57 · 100) / 2.57 = 61 % ≈ 60 %
Answer: B) about 60 %
Answer:
there are no solutions as the two straight lines represented by the two equations are parallel, so they have no point in common
Step-by-step explanation:
general equation of a straight line: ax + by + c = 0
the slope (or raise) of a straight line m is equal to -a/b (b=1 a=-2 in this exercise as the equation is 1y=-2x - 4)
so m1 = -2/1 = -1/2
and m2 = -2/1 = -1/2
there is also a geometrical explanation, but I am not sure if it could be too complex
Answer: y = 0.4x
In fraction form, this is y = (2/5)x
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Explanation:
For each row, divide the y over x values
- Row One: y/x = 0.8/2 = 0.4
- Row Two: y/x = 4/10 = 0.4
- Row Three: y/x = 6/15 = 0.4
- Row Four: y/x = 10/25 = 0.4
We end up with the same thing each time.
Since y/x = 0.4, this rearranges to y = 0.4x
Alternatively, you can write the equation as y = (2/5)x because 2/5 = 0.4
The probability that no one in the family of 4 will be hospitalized during a year is 0.52
Step-by-step explanation:
The probability for a person to be hospitalized during one year is
As a consequence, the probability for a person of NOT being hospitalized during one year is
If we have 4 people in the family, the probability of each of them of NOT being hospitalized during the year is independent from the probability of the others - therefore, these are independent events. This means that the total probability of the 4 people of not being hospitalized during a year is:
So, the probability that no one in the family of 4 will be hospitalized during a year is 0.52.
Learn more about probability:
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B).$6.20 You are supposed to multiply.
