Answer:
27
Step-by-step explanation:
The answer is $140,000.
<span>80/20 80% Borrowed $140,000 20% down $35,000</span>
The center of the circle is midpoint of the diameter:
![P(-10;-2);\ Q(4;\ 6)\\\\C\left(\dfrac{-10+4}{2};\ \dfrac{-2+6}{2}\right)\to C\left(\dfrac{-6}{2};\ \dfrac{4}{2}\right)\to C(-3;\ 2)](https://tex.z-dn.net/?f=P%28-10%3B-2%29%3B%5C%20Q%284%3B%5C%206%29%5C%5C%5C%5CC%5Cleft%28%5Cdfrac%7B-10%2B4%7D%7B2%7D%3B%5C%20%5Cdfrac%7B-2%2B6%7D%7B2%7D%5Cright%29%5Cto%20C%5Cleft%28%5Cdfrac%7B-6%7D%7B2%7D%3B%5C%20%5Cdfrac%7B4%7D%7B2%7D%5Cright%29%5Cto%20C%28-3%3B%5C%202%29)
The radius is equal the distance between C and Q:
![r=\sqrt{(4-(-3))^2+(6-2)^2}=\sqrt{7^2+4^2}=\sqrt{49+16}=\sqrt{65}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%284-%28-3%29%29%5E2%2B%286-2%29%5E2%7D%3D%5Csqrt%7B7%5E2%2B4%5E2%7D%3D%5Csqrt%7B49%2B16%7D%3D%5Csqrt%7B65%7D)
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = √65; (-3; 2) ⇒ a = -3 and b = 2
subtitute
(x - (-3))² + (y - 2)² = (√65)²
Answer:
the center: (-3; 2)the radius: √65the equation of the circle: (x + 3)² + (y - 2)² = 65
Answer:
40%
Step-by-step explanation:
3/5th of the price
if price = 100
then 3/5 is like 60/100
(multiplying by 20)
so 60/100 is 60%
mani sold his laptop for $60 that if his laptop was $100
he lost $40
which is the same value for 40/100
Answer:
![Probability = 0.0266](https://tex.z-dn.net/?f=Probability%20%3D%200.0266)
Step-by-step explanation:
Given
D = Defective
N = Non-Defective
![D = 3\%](https://tex.z-dn.net/?f=D%20%3D%203%5C%25)
![D =0.03](https://tex.z-dn.net/?f=D%20%3D0.03)
N is calculated as thus:
![N = 1 -D](https://tex.z-dn.net/?f=N%20%3D%201%20-D)
![N = 1 - 0.03](https://tex.z-dn.net/?f=N%20%3D%201%20-%200.03)
![N = 0.97](https://tex.z-dn.net/?f=N%20%3D%200.97)
The required probability can be represented as:
Probability = DNNNN
And it is calculated as follows:
![Probability = 0.03 * 0.97^4](https://tex.z-dn.net/?f=Probability%20%3D%200.03%20%2A%200.97%5E4)
![Probability = 0.0265587843](https://tex.z-dn.net/?f=Probability%20%3D%200.0265587843)
<em />
<em> -- Approximated</em>