29.4% of the time, the point will be on the shaded region of the circle.
Step-by-step explanation:
Step 1:
To find the probability of any event we divide the number of favorable outcomes by the total number of outcomes.
Here the favorable outcome is the point being on the shaded region and the total number of outcomes is the point being on any point on the circle.
Suppose the circle is divided into 360 portions i.e. the angle of a circle is 360°.
Step 2:
The number of favorable outcomes = 106 (106° of the 360°).
The total number of outcomes = 360 (the entire 360°).
The probability of the point being on the shaded region =
This is equal to 29.444%. Rounding this off to the nearest tenth, we get 29.4%.
Answer:
Distance = 7.8 units
Step-by-step explanation:
In coordinate geometry, the distance between the 2 points is given by
where (x1,y1) and (x2,y2) are coordinates of the 2 points.
Above the 2 points given are, (-2,-1) and (3,5).
<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>
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<em>Distance = 7.8102 units</em>
To the nearest tenth, Distance = 7.8 units
After clarification we see the respective diameters are
We're asked about the ratio
Now we can go through the choices.
A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.
It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.
B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.
FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.
C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.
FALSE. We already calculated its 100 times bigger.
D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.
FALSE.
