Answer:
The correct answer would 3/4 cups of sugar
Step-by-step explanation:
divide 1 1/2 by 2 to get 3/4
Answer:
A' is (1,1) B is (4,1) C is (1,-1)
Step-by-step explanation:
Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).
We are given: cos theta = 1/3. Thus, adj side = 1 and hyp = 3. Using the Pythagorean Theorem to find the length of the opposite side, represented by x.
1^2 + opp^2 = 3^2, or 1 + x^2 = 9, or x^2 = 8. Here, x could be either sqrt(8) or -sqrt(8): sqrt(8) if angle theta is in QI, and -sqrt(8) if in QIV.
Thus, the sine of angle theta could be either sqrt(8)/3 or -sqrt(8)/3.
10% of 5000 is 500 and 500 times 8 is 4000 so the total amount due would be 9000 :)
Answer:
0.2061
Step-by-step explanation:
Probability (no crash) = 66% = 0.66
Average (no crash) expected out of 152 computers = 0.66 (152) = 100.32
Standard deviation 's' = √ [ (154) (0.66) (1-0.66) ] = √ (154) (0.66) (0.34)
= √ 34.5576 = 5.87
P (x <u>></u> 96) = 1 - P (x <u><</u> 95)
z= (x - u) / s ; x = sample mean = 95.5 (continuity correction factor = 0.5) , u = population average = 100.32
z = (95.5 - 100.32) / 5.87 = 4.82 / 5.87 = 0.82
P (x <u><</u> 95) = P (z <u><</u> 0.82) = 0.7939
P (x <u>></u> 96) = 1 - 0.7939 = 0.2061
