Answer:
<em>(D). (8, - 5) </em>
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are (
,
)
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
<em>(D). (8, - 5)</em>
Answer: 0.00494.
Step-by-step explanation:
Given : The proportion of the company's orders come from first-time customers. ![p=0.45](https://tex.z-dn.net/?f=p%3D0.45)
Sample size : n= 166
Now , the probability that the sample proportion is between 0.24 and 0.35 would be :-
![P(0.24](https://tex.z-dn.net/?f=P%280.24%3Cp%3C0.35%29%3DP%5Cleft%28%7B%5Cdfrac%7B0.24-0.45%7D%7B%5Csqrt%7B%5Cdfrac%7B0.45%281-0.45%29%7D%7B166%7D%7D%7D%3C%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%3C%5Cdfrac%7B0.35-0.45%7D%7B%5Csqrt%7B%5Cdfrac%7B0.45%281-0.45%29%7D%7B166%7D%7D%7D%7D%5Cright%29%5C%5C%5C%20%5C%20%5Cleft%5B%5Cbecause%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5Cright%5D)
![=P(-5.44](https://tex.z-dn.net/?f=%3DP%28-5.44%3Cz%3C-2.58%29%3DP%28z%3C-2.58%29-P%28z%3C-5.44%29%5C%5C%5C%5C%3D1-P%28z%3C2.58%29-%281-P%28z%3C5.44%29%29%5C%5C%5C%5C%3DP%28z%3C5.44%29-P%28z%3C2.58%29%5C%5C%5C%5C%3D1-0.99506%5C%20%5B%5Ctext%7BBy%20z-value%20table%7D%5D%5C%5C%5C%5C%3D0.00494)
Hence, the probability that the sample proportion is between 0.24 and 0.35 is 0.00494.
Answer:
1. (4,5)
2. remain constant and increase
3. g(x) exceeds the value of f(x)
4. eventually
-1/2(-3/2x + 6x + 1) - 3
Simplify.
(3/4x - 3x - 1/2) - 3
Get rid of the parenthesis.
3/4x - 3x - 1/2 - 3
Add like terms.
(3/4x - 3x) + (-1/2 - 3)
Simplify.
-2 1/4x + (-3 1/2)
Get rid of the parenthesis.
-2 1/4x - 3 1/2
Hope I helped! :)
Answer:
B) No Solutions
Step-by-step explanation:
|2x + 2| / 5 = -3
Multiply both sides by 5
|2x + 2| = -15
Subtract both sides by 2
|2x| = -17
Divide both sides by 2
|x| = -17
The absolute value of a number is never negative. For that reason, there are no real number solutons.