9514 1404 393
Answer:
Step-by-step explanation:
The third angle can be found from the sum of angles in a triangle.
A + B + C = 180°
C = 180° -62° -97°
C = 21°
__
The remaining side lengths can be found using the Law of Sines.
a/sin(A) = b/sin(B)
a = sin(62°)(15/sin(97°)) ≈ 13.34
Similarly, ...
c/sin(C) = b/sin(B)
c = sin(21°)(15/sin(97°)) ≈ 5.42
The remaining side lengths are approximately ...
a ≈ 13.3
c ≈ 5.4
Answer:
1.2%
Step-by-step explanation:
We are given that the students receive different versions of the math namely A, B, C and D.
So, the probability that a student receives version A = .
Thus, the probability that the student does not receive version A = =
.
So, the possibilities that at-least 3 out of 5 students receive version A are,
1) 3 receives version A and 2 does not receive version A
2) 4 receives version A and 1 does not receive version A
3) All 5 students receive version A
Then the probability that at-least 3 out of 5 students receive version A is given by,
+
+
=
=
=
=
= 0.01171875 × 1.0625
= 0.01245
Thus, the probability that at least 3 out of 5 students receive version A is 0.0124
So, in percent the probability is 0.0124 × 100 = 1.24%
To the nearest tenth, the required probability is 1.2%.