The probability of randomly drawing either a red marble or a green marble is 80%
The probability of drawing a green marble is the same as the probability of drawing either a red or a blue marble.
3 out of 4
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If the total amount of points in a test is 140, and we want to find 10% of those points, we can do the following to figure out how much points the question is worth...
140 points x 10% = 140 x 0.1 = 14 points for the short-answer quesion.
Answer: 20%
Step-by-step explanation:
1 5
100 x
100*5/1 = 20%
Answer: Choice #3 - compressed horizontally and translated by 4 units to the right.
This corresponds to horizontal shift to the right by 4 units and a horizontal compression.
Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
