The two angles form a right triangle which is 90 degrees.
Add the two to equal 90:
3x-8 + 4x = 90
simplify:
7x-8 = 90
Add 8 to both sides:
7x = 98
Divide both sides by 7:
x = 14
Answer: x=-10.2 but for me the real answer is x=10.2 but go for x=-10.2
Step-by-step explanation: hope this help
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
Out of these four elements, Sovereignty stands accepted as the most important and exclusive element of the State. No other organisation or institution can claim sovereignty. An institution can have population, territory and government but not sovereignty. ... These are also loosely called states.
