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The Pythagorean theorem can tell you the length of "b".
c² = a² + b²
b² = 19² -3² = 360
b = 6√10 ≈ 18.8
Sin = Opposite/Hypotenuse
sin(A) = a/c = 3/19
A = arcsin(3/19) ≈ 9.1°
B = 90° - A = 80.9°
The remaining sides and angles are ...
b = 18.8
A = 9.1°
B = 80.9°
c² = a² + b²
b² = 19² -3² = 360
b = 6√10 ≈ 18.8
Sin = Opposite/Hypotenuse
sin(A) = a/c = 3/19
A = arcsin(3/19) ≈ 9.1°
B = 90° - A = 80.9°
The remaining sides and angles are ...
b = 18.8
A = 9.1°
B = 80.9°
<h2><u>Answer with explanation</u>:</h2>
Let be the average estimated calorie content in the population.
As per given , we have
, since the alternative hypothesis is right -tailed , so the test is a right tailed test.
Sample size : n= 58
Sample mean :
sample standard deviation : s= 86
Population standard deviation is unknown , so we use t-test.
Test statistic:
Critical value at significance level 0.001 and degree of freedom 57 (∵ df=n-1 ) :
Decision : Test statistic value is greater than the critical value at significance level 0.001, so we reject the null hypothesis .
Conclusion : We have sufficient evidence to support the claim that the true average estimated calorie content in the population sampled exceeds the actual content.