The answer is 3 pens and 4 pencils. Hope this helps
Circle = (x-h)^2 + (y-k)^2 = r^2
Center is (h,k) h = -5, k = 2
Radius is 4, r = 4
(x - -5)^2 + (y - 2)^2 = 4^2
(x + 5)^2 + (y - 2)^2 = 16
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
Answer:
The Point estimate of the Population proportion E = 0.039≅0.04
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the sample size 'n' = 992
and x = 570
The Population proportion

<u><em>Step(ii):-</em></u>
<u><em>The point estimate of the Population proportion is determined by</em></u>
<u><em></em></u>
<u><em></em></u>
E = 0.039≅0.04
<u><em>Final answer</em></u>:-
The point estimate of the Population proportion E = 0.039≅0.04
<u><em></em></u>
Answer:
x < 3 or x > 9
Step-by-step explanation:
given 6| x - 6 | + 7 > 25 ( subtract 7 from both sides )
6| x - 6 | > 18 ( divide both sides by 6 )
| x - 6 | > 3
Inequalities of the form | x | > a always have solutions of the form
x < - a OR x > a, hence
x - 6 < - 3 or x - 6 > 3 ( add 6 to both sides in both inequalities )
x < 3 or x > 9