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:
50
Step-by-step explanation:
10(10)/2
100/2
50
Answer:
The equation 2 x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.
Answer: B. 84 in²
Step-by-step explanation:
Divide the area into two regions: a rectangle and a trapezoid (depicted in the attached photo).
Find the area of the rectangle:
Area of a rectangle=length*width
Area of rectangle=(5 in)( 10 in)
Area of rectangle=50 in²
Next, calculate the area of the trapezoid:
Area of trapezoid=
h=10 in-6 in
h=4 in
Area of trapezoid=
Area of trapezoid=
Area of trapezoid=
Area of trapezoid=
Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
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