<span>ME = 1.10.
Explanation:
The margin of error, ME, is given by the formula z*(</span>σ<span>/</span>√<span>n).
Since we want a 90% confidence interval, z=1.645.
</span>σ<span>=6, and n=80, giving us ME=1.645*(6/</span>√<span>80). This comes out to 1.10.</span>
Answer:
y = -3/4x + 3
Step-by-step explanation:
Remark
In order to solve for the Cos(x), you need to find the missing side. You can do that by finding the Sin(x) first and then the Cos of x or you can just use the Pythagorean theorem. I'm going to do the latter.
Formula
a^2 + b^2 = c^2
Givens
a = ???
b = 32
c = 58
Sub and solve
a^2 = ???
b^2 = 1024
c^2 = 3364
a^2 + 32^2 = 58^2
1024 + a^2 = 3364 Subtract 1024 from both sides.
a^2 = 3364 - 1024
a^2 = 2340 Take the square root of both sides.
sqrt(a^2) = sqrt(2340) Break a into its prime factors.
a = sqrt(2 * 2 * 5 * 3 * 3 * 13)
Rule
For every pair of equal factors, one can be brought outside the root sign and the other is discarded.
a = 2 * 3 * sqrt(5*13)
a = 6 sqrt(65)
The cos of an angle = opposite / hypotenuse.
Cos(x) = 6*sqrt(65) / 58 <<<<< This should be the answer
If you are offered choices, you should list them
Another choice would be 6*8.0623 / 58 = 0.8340 <<<<< Answer
Answer:
206.35
Step-by-step explanation:
5 years = 12x5=60
$12,381 ÷ 60 = $206.35
