Laws of Sines with find the angle. Find the measurement indicated. Round your answers to the nearest tenth. Part 3

7. A ≈ 60.1°

8. B ≈ 34.0°

9. C ≈ 33.1°

Step-by-step explanation:

7.

The Law of Sines states that for a triangle with lengths a, b, and c and angles A, B, and C: .

Here, we can say that a = 7, b = 8, and B = 82, and we want to find A. Plug these values in:

Solve for A:

A ≈ 60.1°

8.

Again, use the Law of Sines as above:

Solve for B:

B ≈ 34.0°

9.

Use the Law of Sines as above:

Solve for C:

C ≈ 33.1°

7. 60.1°

8. 34.0°

9. 33.1°

Step-by-step explanation:

7. 7/sinA = 8/sin82

sinA = 7 × sin82/8

sinA = 0.8664845601

A = 60.05265736

8. 14/sin37 = 13/sinB

sinB = 0.5588282358

B = 33.97480112

9. 10/sinC = 17/sin68

sinC = 10 × sin68/17

sinC = 0.5454022674

C = 33.05215746

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560