So parallel lines have the same slope, but perpendicular lines have negative reciprocal slopes. So a slope of 3/2 will have a negative reciprocal of -2/3.
-x + 2y = 4
2y = x + 4
2y/2 = (x + 4)/2
y = 1/2 x + 2
m = 1/2, so reciprocal is -2/1 = -2
point (-2, 1)
point-slope form:
y-y1 = m (x-x1)
y-1 = -2 (x- -2)
y-1 = -2 (x+2)
y-1 = -2x -4
y = -2x - 3, or:
2x + y = -3
Because the base (2) is positive and greater than 1, the function / graph is increasing. To find the y-intercept, let x= 0 and find y: y = 3(2)^0 = 6, so the y-intercept is (0,6). There is no x-ntercept because the graph and the function are always positive / above the x-axis.
Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
<h3>What is Conditional Probability?</h3>
- <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula is:
In which
- P(B|A) is the probability of event B happening, given that A happened.
- is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Patient has Medicare.
- Event B: Patient has Medicaid.
For the probabilities, we have that:
- 35% of the patients have Medicare, hence .
- Of those who have Medicare, there is a 10% chance they also have Medicaid, hence .
Then, applying the <em>conditional </em>probability:
0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
You can learn more about conditional probability at brainly.com/question/14398287
Answer:
137
Step-by-step explanation:
m∠B and m∠C are adjacent angles in a parallelogram.
Sum of adjacent angles in a parallelogram is 180.
m∠B + m∠C = 180
43 + m∠C = 180
m∠C = 180 - 43
m∠C = 137
75 and 100.
It is 25% lesser because if you subtract 75 and 100 from each other, you get 25.