What is the slope of OP
1 answer:
Answer:
B
Step-by-step explanation:
Area of a triangle is 1/2 * Base * height
So we can say: 1/2 * k * (k-2)
That is equal to 24. Let's solve for k first:
Putting 8 into k, solves the equation, hence k is 8.
<em>So point P (8, 8- 2) , which is </em>
<em>P(8,6)</em>
<em />
The slope of OP is the change in y divided by change in x. Looking at the diagram, going from (0,0) to (8,6), the change in y is 6 and change in x is 8
So slope is 6/8
Reduced, that is 3/4
Answer choice B is right.
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Answer:
(a) 0.20
(b) 31%
(c) 2.52 seconds
Step-by-step explanation:
The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.
The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.
So,
(a)
The area under the density curve is always 1.
The length is 5 units.
Compute the height as follows:
Thus, the height of the density curve is 0.20.
(b)
Compute the value of P (Y > 3.75) as follows:
Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.
(c)
Compute the 38th percentile as follows:
Thus, the 38th percentile is 2.52 seconds.