The given equations are:
5x - 2y = 88
3x + 4y = 58
Multiplying the 1st equation by 2, we get the new set of equations as:
10x - 4y = 176
3x + 4y = 58
Adding the two equations, we get:
10x - 4y + 3x + 4y = 176 + 58
13x =234
x = 18
Using the value of x in 1st equation, we get:
5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1
So, the solution of the equation is (18, 1)
Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is 
and the critical value for this case using the normal standard distribution would be 
Since we don't have prior information we can use 
as an unbiased estimator
Also we know that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Answer:
Pythagorean Theorem:
a^2 + b^2 = c^2
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = 10.4
Let me know if this helps!
