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Masteriza [31]
3 years ago
12

when 30 bolts are tested for hardness, their indexes have a standard deviation of 3.9. Test the claim that the standard deviatio

n of the hardness indexes for all such bolts is 6.1. use a 0.01 level of significance.
Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

nebraskan Vulunnter na bumaril sa tatlong piliponong sundalo na siyang naging hudyat ng digmaan

Check your spelling or try different keywords

Ref A: D4EA49C383DC4782B921C6733B0FE57B Ref B: SG1EDGE0220 Ref C: 2020-12-08T02:28:46Z

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Solve the following triangle. Given A=51 degrees b=40 c=45
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Answer:

a=36.87\ units

B=57.47^o

C=71.53^o

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

a^2=1,359.4466

a=36.87\ units

step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

sin(B)=\frac{sin(51^o)}{36.87}{40}

B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

51^o+57.47^o+C=180^o

108.47^o+C=180^o

C=180^o-108.47^o=71.53^o

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