Answer:
The student was wrong. The probability is actually 1/4.
Step-by-step explanation:
Let's say you have question A and question B. You could have incorrect on A, and incorrect on B. Or, you could have incorrect on A, but a correct on B. Or, you could have an incorrect on B, but a correct on A. Or, both could be correct. <em><u>Since there are 4 different possibilities, the actual probability is 1/4.</u></em>
2r=R
Because 2 of "r" make 1 R
Answer:
<h2>3.6°</h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;

is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
0.10(5000) = 500
0.15(10,000) = 1500
total commission on 15,000 = (150 + 500) = 2,000