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Kazeer [188]
3 years ago
8

Law of Sines. Find the

Mathematics
1 answer:
9966 [12]3 years ago
4 0

Answer:

\angle B=23.96\\\\\angle C=59.04

Step-by-step explanation:

\:The\:law\:of\:sines\:is:\\\\\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

with\\\\A=97\\\\a=22\\\\b=9\\\\c=19

so\:we\:have\\\\\frac{\sin 97}{22}=\frac{\sin B}{9}\\\\\sin B=\frac{9\sin 97}{22}\\\\B=\sin^{-1}(\frac{9\sin 97}{22})\\\\B\approx 23.96

You\:could\:use\:the\:law\:of\:sines\:again\\\\But\:remember\:that\:the\:sum\:of\:angles\:is\:180\\\\\angle A+\angle B+\angle C=180\\\\97+23.96+\angle C=180\\\\120.96+\angle C=180\\\\\angle C=59.04

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We need to work out the z-value of each question to work out the probability

Question a)

We have
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The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

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The table reading is shown in the second picture below

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We can use this information to find the probability of the assembly time will be more than 10 minutes  = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%


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