y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
9 down 3 rt 4 rt 8 up 4 rt 5 down 8 down 9 (= 50)
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
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Answer:
B
Step-by-step explanation:
We can use the law of cosinse:
= 
− 2ab cos(C)
Suppose the two sides are a and b, and the angle betweent them is C.
= 
− 2*3*4 cos(60)
We can simplify this to get =25-12=13
c=
Answer choice B
Answer:
=
Step-by-step explanation:
Equal too, you are finding the absolute value of both of them which means getting rid of any signs that is attached to them. 60 = 60
