Answer: See below
Step-by-step explanation:
<u>Let A represent</u> an adult who visited a therapist
<u>Let B represent</u> an adult who used a non-prescription antidepressant
<u>Given:</u>
P(A) = 0.28 P
P (B) = 0.43
P(A Intersection B) = 0.22
a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27
P(B | A) = 0.79 or 79%
b) P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3
P(A | B) = 0.51 or 51%
Answer:
The center of the circle is at the point (-3, -2) on the plane
Step-by-step explanation:
The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:
Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.
Look at the attached picture
Answer:
y=mx+b
find the slope of the second line then opposite it and you will get the slope of the first line, then you would put it anywhere on the second line and you will then get the y intercept and then you can fill in the equation
m=slope
b=y intercept
For this question, first find the area of the original square.
30*30 = 900.
Next, find the length of the sides if it is increased by 20%.
30 = 100%.
3 = 10%
6 = 20%.
So, the new length would be 36 cm. Next, find the new area.
36 * 36 = 1296.
The original area was 900.
1296 - 900 = 396
(396/900) *100 = 44%
44% increase.
Hope this helps!