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BabaBlast [244]
3 years ago
15

If q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80​

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

p = 17 and -15

Step-by-step explanation:

If q is directly proportional to (p-1)², this can be written as;

q = k(p-1)²

If q = 20 when p = 3

20 = k(3-1)²

20 = 2²k

20 = 4k

k = 5

To get p wen q = 80

80 = 5(p-1)²

16 = (p-1)²

p-1 = ±√16

p-1 = 16 and p-1 = -16

p = 17 and p=-16+1

p = 17 and -15

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arsen [322]

Answer:

0.5372

Step-by-step explanation:

Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.

Let X be the no of births in the hospital per hour

X is Poisson

with mean = 1.8

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the probability of observing at least two births in a given hour at the hospital = 0.5372

4 0
3 years ago
Write equations for the horizontal and vertical lines passing through the point (8,5)
almond37 [142]

Answers:

Horizontal Line:  y = 5

Vertical Line:  x = 8

=================================================

Explanation:

All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.

Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).

7 0
3 years ago
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In terms of X then x would be equal to -2
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Step-by-step explanation:

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zimovet [89]

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Step-by-step explanation:

3-7= -4

3 0
3 years ago
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