The answer is bc if you add them all together
Answer:
And rounded up we have that n=8068
Step-by-step explanation:
The margin of error for the proportion interval is given by this:
(a)
We want for this case a 95% of confidence desired, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for this case is 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The estimated proportion for this case is 
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=8068
Answer:
If this is for a triangle then the answer is 45°
Step-by-step explanation:
Triangles are always 180° so if you have a right angle know that, that means the angle is 90°. So angle CAB is 90° and angle DAB is 45°. You take 180° and subtract 90° which leaves you with 90°. Then you take that 90° and subtract 45° and that leaves you with 45°.
Answer:
Yep!
Step-by-step explanation:
I'm not 100% sure if your first one is correct, but I know the second one is! Great job :)
Recall that A = 1/2bh.
We are given that h = 4+2b
So, putting it all together:
168 = 1/2 b(4+2b)
168 = 1/2(4b + 2b^2)
168 = 2b + b^2
b^2 + 2b - 168 = 0.
Something that multiplies to -168 and adds to 2? There's a trick to this.
Notice 13^2 = 169. So, it's more than likely in the middle of the two numbers we're trying to find. So let's try 12 and 14. Yep. 12 x 14 = 168. So this factors into (b+14)(b-12) So b = -14 or b =12. Is it possible to have a negative length on a base? No. So 12 must be our answer.
Let's check this. If 12 is our base, then according to our problem, 2*12 + 4 would be our height... or 28. so what is 12 * 28 /2?
196. Check.
Hope this helped!
