Answer:
3.15
Step-by-step explanation:
ANSWER
The midpoint of both diagonals is

EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula

Let us use the first diagonals H(-2,2) and J(4,-2)



Using the second diagonals also gives,


Answer: 
<u>Step-by-step explanation:</u>
Parabola Skate Rental: 4.50x + 35
Arc Hawk Skate Rental: 5.25x + 25
If you want to know when their cost will be the same, set the equations equal to each other.
5.25x + 25 = 4.50x + 35
0.75x + 25 = 35 <em>subtracted 4.50x from both sides</em>
0.75x = 10 <em>subtracted 25 from both sides</em>
<em>divided both sides by 0.75</em>
x =
<em>simplified the fraction</em>
Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51
Lets use the formula
to solve this, where,
- R is the rate
- W is the number of workers/things
- T is time
- J is number of jobs/things
<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -
W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:

<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use
(previously found) to figure out T.</em>
<em>
</em>
So it will take 10 seconds for 50 printers to print 50 pages.
ANSWER: 10 seconds