I’m RIGHT here how can I help, there is no photo.
Tan(40)= x/20 => x= tan(40).20= 16,78
Ok done. Thank to me:>
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
Answer: C) 108 degrees
------------------------------------------------------
Explanation:
Angle 4 is an exterior angle which corresponds to the remote interior angles of 33 degrees and 75 degrees. Through the remote interior angle theorem, we can add the remote interior angles to get the exterior angle
So we simply add 33 and 75 to get 33+75 = 108
If you chose not to use this theorem, then you can find angle three by using the fact that all three angles of the triangle must add to 180 degrees. So,
33+75+(angle 3) = 180
108+(angle 3) = 180
108+(angle 3) - 108 = 180 - 108
angle 3 = 72 degrees
Then use the fact that angle 3 and angle 4 are supplementary
(angle 3) + (angle 4) = 180
72 + (angle 4) = 180
72 + (angle 4) - 72 = 180 - 72
angle 4 = 108 degrees
either way, we get the same answer
