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bearhunter [10]
3 years ago
5

Find the measure of Angle R to the nearest tenth. a. 63.8 degrees b. 67.2 degrees c. 70.9 degrees d. 61.5 degrees

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
The complete question in the attached figure

we know that
 tan R°=opposite side angle R/adjacent side angle R
opposite side angle R=72 units
adjacent side angle R=25 units
so
 tan R°=72/25
R=arc tan (72/25)---------> R=70.85°-------> R=70.9°

the answer is 
R=70.9°

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The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

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Confidence interval for the population mean difference is given by

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Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

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Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ±  5.09

=-2.09, 8.09  is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

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