Answer:
Step-by-step explanation:
The sample proportion 
The null hypothesis and the alternative hypothesis:
Thus; the test statistics is:
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25
General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0
Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
Answer:
1.2, 1.6, 2.0
Step-by-step explanation:
Pythagorean theorem
A^2 +b^2=c2
1.2^2+1.6^2=2^2
1.44 + 2.56=4
4=4
Since equation works (4=4), it is a right triangle.
Christy would have to work 50 hours to pay off her holiday debt. It would be 10 dollars overtime too if you thought about it.
Actually, the answer is 43.25 because 180-93.5 is 96.5 which is both of the other values combined. x by itself is 43.25.
