I really need help with this, thank you!!!
2 answers:
Answer:
6. 60°; 7. 5.20; 8. 7.96
Step-by-step explanation:
5. <em>Draw ∆ABC </em>
See Fig. 1 below
6 .<em> Determine m∠C </em>
∠A + ∠B + ∠C = 180
40 + 80 + ∠C = 180
120 + ∠C = 180 Subtract 120 from each side
m∠C = 60°
7. <em>Determine a.</em>
By the law of sines,
a/sinA = c/sinC Multiply each side by sin A
a = c(sinA/sinC)
= 7 × (sin40/sin60)
= 7 × 0.6428/0.8660
= 5.20
8. Determine b.
b/sinB = c/sinC Multiply each side by sin B
b = c(sinB/sinC)
= 7 × (sin80/sin60)
= 7 × 0.9848/0.8660
= 7.96
Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
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Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
