This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.
Answer:
98% confidence interval: (29.25,38.87)
Step-by-step explanation:
We are given the following in the question:
Sample mean, = 34.06
Sample size, n = 134
Sample standard deviation, s = 23.83
a) 98% confidence interval
Putting the values, we get,
b) If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%
c) If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.
Answer:
5/16
Step-by-step explanation:
15+(5-x)/x=30
1) Subtract 15 from both sides:
(5-x)/x=15
2) Multiply both sides by x:
5-x=15x
3) Add x to both sides:
16x=5
4) Divide both sides by 16:
x=5/16
The value of angle C in the triangle is 50°.
<h3>How to calculate the triangle?</h3>
From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.
It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:
= 180° - (60° + 70°)
= 180° - 130°
= 50°
Learn more about triangles on:
brainly.com/question/1058720
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Answer:
f(6) = 1
Step-by-step explanation:
Function:
f(x) = -2/3x + 5
f(6) = -2/3(6) + 5
f(6) = -4 + 5
f(6) = 1