The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)
<h3>How to find the confidence interval?</h3>
Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.
The general formula for confidence interval is;
CI = x' ± z(s/√n)
where;
x' is sample mean
z is z-score at confidence level
s is sample standard deviation
n is sample size
We are given;
sample size; n = 36
Sample mean; x' = 3 inches
standard deviation; s = 0.3 inches
confidence level = 99%
z at 99% CL = 2.576
Thus;
CI = 3 ± 2.576(0.3/√36)
CI = 3 ± 0.1288
CI = (2.8712, 3.1288)
Read more about Confidence Interval at; brainly.com/question/17097944
#SPJ1
Answer: 43 degrees
Explanation: All of the angles inside of a triangle add to equal 180 degrees. All you have to do is subtract the two angle measures from 180 degrees to get the answer.
180-90-47=43 degrees
The answer is a............
Answer:
<h3>B = 48.7° , C = 61.3° , b = 12</h3>
Step-by-step explanation:
In order to find B we must first angle C
To find angle C we use the sine rule
That's
From the question
a = 15
A = 70°
c = 14
So we have
C = 61.288
<h3>C = 61.3° to the nearest tenth</h3>
Since we've found C we can use it to find B.
Angles in a triangle add up to 180°
To find B add A and C and subtract it from 180°
That's
A + B + C = 180
B = 180 - A - C
B = 180 - 70 - 61.3
<h3>B = 48.7° to the nearest tenth</h3>
To find b we can use the sine rule
That's
b = 11.9921
<h3>b = 12.0 to the nearest tenth</h3>
Hope this helps you
