refer to the attachment hope it helps you
sorry for my worst handwriting
Notice that 56° = 45° + 11°. Then
tan(56°) = sin(56°) / cos(56°)
… = sin(45° + 11°) / cos(45° + 11°)
… = (sin(45°) cos(11°) + cos(45°) sin(11°)) / (cos(45°) cos(11°) - sin(45°) sin(11°))
Recall that sin(45°) = cos(45°) = 1/√2, so we can cancel each term involving 45° :
tan(56°) = (cos(11°) + sin(11°)) / (cos(11°) - sin(11°))
So basically, its a theorem.
Angle U = half of 288
Angle U = 144
Angle U and Angle VUT are supplementary, which means the sum of their measure is 180 so,
144 + 8x + 4 = 180
Now solve for x
x = 4
Answer:
Step-by-step explanation:
a) From the information given, we can state the hypothesis as follows:
For null hypothesis,
p = 0.9
Or
p ≤ 0.9
For alternative hypothesis,
p > 0.9
Because of the greater than inequality symbol in the alternative hypothesis, it means that it is a right tailed test.
b) Since z = 2.31, we would determine the p value by looking at the probability corresponding to the area above the z score from the normal distribution table. Thus
P value = 1 - 0.9896 = 0.0104
Using a significance level of alpha equals 0.10, since alpha, 0.10 is > p value, 0.0104, then we would reject the null hypothesis.