Answer:
0.48
Step-by-step explanation:
First of all. let's recall probability formula needed for solving the problem.
We know that, If the events A and B are not mutually exclusive, the probability is:
<em>probability of event (A or B) = probability of event A + probability of event B – p(A and B). </em>
This formula will be used in calculations of this problem.
Let's consider that event A is patient visiting physical therapist; event B is patient visiting chiropractor.
P (A∩B) = 0.22 (visiting both physical therapist and chiropractor) ⇔ p(A and B)
P(B) = P(A) + 0.14 [ Probability patient visiting chiropractor is 0.14 more than probability visiting physical therapist]
Patients visiting none of these is 12%
Those who visit either therapist or chiropractor are amount to 1 - 0.12 = 0.88
Now we should use the formula mentioned in the beginning of the text:
0.88 = P(A) + P(B) - 0.22 ⇒ P(A) + P(B) = 1.1
If we replace P(B) by P(A) + 0.14 ⇒ 2P(A) + 0.14 = 1.1 ⇒ 2P(A) = 1.1 - 0.14 = 0.96
So, P(A) = 0.96/2 = 0.48 [Probability of patients visiting therapist]
Answer:
C)25
Step-by-step explanation:
5,10,15,20.... (Add 5)
next is 25
Step-by-step explanation:
<u>Step 1: Determine the axis of symmetry</u>
The axis of symmetry is middle of the parabola. In this equation we see that at x = -1 we have the vertex and also the middle of the parabola. So our axis of symmetry is x = -1.
<u>Step 2: Determine the vertex</u>
The vertex is the minimum or maximum of a parabola and is bent in a crest form. In this example the vertex is at (-1, -3) because we are using the tip of the graph.
<u>Step 3: Determine the y-intercept</u>
The y-intercept is where the graph intersects with the y-axis. In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.
<u>Step 4: Determine if the vertex is a min or max</u>
Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.
<u>Step 5: Determine the domain</u>
The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.
<u>Step 6: Determine the range</u>
The range is the y axis and what y values we are able to reach using the graph. In this example we can see that all y-values above -3 are not being used therefore the range is 
I,ll do your online work for you
Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
