Answer:
(x - 1)2 + (y - 1)² = 5²
Step-by-step explanation:
Adapt the standard equation of a circle with center at (h, k) and radius r:
(x - 1)^2 + (y - 1)^2 = r^2
Here one point on the circle is (-3, 4), and so the radius is √[(-3)² + 4² ] = 5
Thus, the desired equation is:
(x - 1)^2 + (y - 1)^2 = 5^2 or (x - 1)2 + (y - 1)² = 5²
Answer:
The 95% of confidence intervals
(2.84 ,2.99)
Step-by-step explanation:
A random sample of 20 accounting students results in a mean of 2.92 and a standard deviation of 0.16
given small sample size n =20
sample mean x⁻ =2.92
sample standard deviation 'S' =0.16
level of significance ∝ = 0.95
The 95% of confidence intervals
the degrees of freedom γ=n-1 =20-1=19
t-table 2.093


(2.92-0.0748,2.92+0.0748)
(2.84 ,2.99)
Therefore the 95% of confidence intervals
(2.84 ,2.99)
Answer: x < 8
8z+3-2z<51
Collect like terms.
6z+3<51
Move constant to the right side and change its sign.
6z<51-3
Subtract the numbers.
6z<48
Divide both sides of the inequality by 6.
z < 8
One and ninety nine hundredths