The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $16 and $30 per share.
1 answer:
Answer:
a) 0.3571 = 35.71% probability that the stock price will be more than $25.
b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Uniformly distributed between $16 and $30 per share.
This means that
a) More than $25?
0.3571 = 35.71% probability that the stock price will be more than $25.
b) Less than or equal to $18?
0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
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answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is , where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is
Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:
L - Nv = 3/4(Ny - Nv)
For the x-coordinate, we have that:
x = 3.75
For the y-coordinate, we have that:
y = 1.5.
The ordered pair that represents the location of the layover is (3.75, 1.5).
More can be learned about proportions at brainly.com/question/24372153
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