Answer:
45.40
Step-by-step explanation:
First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:
y=acoshxa
You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:
a+30=acoshd2a(1)
The lenght of the catenary is given by the following formula (which can be proved easily):
s=asinhx2a−asinhx1a
where x1,x2 are x-cooridanates of ending points. In our case:
80=2asinhd2a
40=asinhd2a(2)
You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.
Square (1) and (2) and subtract. You will get:
(a+30)2−402=a2
Calculate a from this equation, replace that value into (1) or (2) to evaluate d.
My calculation:
a=353≈11.67
d=703arccosh257≈45.40
Answer:
where is the table?
Step-by-step explanation:
a) I have attached an image of a probability tree diagram.
b) 0.02332 (please round to where you need)
The probability that Terri chooses a blue pen is 2/7. The probability that Terri chooses a red pen is 4/7. The probability that Terri chooses neither a red nor blue pen is 1/7.
2/7 x 4/7 x 1/7 = 0.02332
Hope this helps! :)
The mean is the average you’re used to see by adding up all numbers and divide by all the number of the numbers. The median is the middle value in the list of numbers the mode is the value that occurs most often. If no number in the list is repeated then there is no mode for the list
Equation = y = 9800 * 1.02^x
y = 9800 * 1.02^7 = 11257
Answer is 2nd choice
