2+3=95 4+5=2596+7=49138+9=?
1 answer:
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Answer:
36 and 216
Step-by-step explanation:
Let x and y be LCM and GCF respectively.
We are told that the sum and the difference between the LCM and GCF of two numbers is 252 and 180.
Upon using our information we will get a system of equations.
We will use substitution to solve this system of equations.
Now let us find x using equation 1,
Therefore, LCM is 216 and GCF is 36.
Let a and b our numbers. Now let us find numbers using this information.
We are given that one of them is more than twice the other.
There can be several such numbers. 36 and 216 can also be numbers. Let us check these numbers.
LCM of 36 and 216 is 216 and GCF is 36 and it satisfies our condition that because 216 is more than twice 36.
Therefore, our numbers will be 36 and 216.
To Prove :
Side lengths 6, 8 and 10 will make a right triangle.
Solution :
We know, by Pythagoras theorem :
Here, c is the biggest side and a and b are other sides.
Putting given values in above equation.
Since, LHS = RHS .
Therefore, lengths 6, 8 and 10 will make a right triangle.
Answer:
0.0159
Step-by-step explanation:
Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.
Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)
The plane is overbooked if more than 150 show up
i.e. less than 2 do not show up
Hence the probability that the airline overbooked this flight
=