As the angles are complementary sin A = cos B and sin B = cos A
so sin A + sin B = 0.55 + 0.83 = 1.38
The translation is (x-4, y+15)
This means you would subtract 4 from the X coordinate and add 15 to the y coordinate.
The original coordinates is (9,-8)
The first number is X and the 2nd number is Y.
9-4 = 5
-8+15 = 7
The new location would be (5,7)
The answer is B.
8 total pens....4 are black
first pick, probability of being black is 4/8
2nd pick. without replacing, probability is 3/7
probability of a black pen picked first and then another black pen picked again is : 4/8 * 3/7 = 12/56 = 0.21
Answer:
The area of the shaded region is 
Step-by-step explanation:
<u><em>The correct question is</em></u>
A circle with radius of 4cm sits inside a circle with a radius of 11cm. What is the area of the shaded region?
The shaded region is the area outside the smaller circle and inside the larger circle
we know that
To find out the shaded region subtract the area of the smaller circle from the area of the larger circle
so
simplify
where
r_a is the radius of the larger circle
r_b is the radius of the smaller circle
we have
substitute
assume
substitute
A score of 85 would be 1 standard deviation from the mean, 74. Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean. This means that 100%-68% = 32% of the data is either higher or lower. 32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean. This means that 16% of the graduating seniors should have a score above 85%.
