Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
y = x + z
it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.
so if we know what z equals, we can replace z with what it is equal to. so:
y = x + z
y = x + 3x
y = 4x
we know that 60 medals were won so
y = 4x
60 = 4x
x = 15
that is the amount won by short people
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
Answer:
The probability of not rain during the entire festival is 0.19
Step-by-step explanation:
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.
In this case we have the probability of raining of each day, we need the probability of NOT raining.
First day= 45% chance of rain, the complement is 55%
Second day 55% chance of rain, the complement is 45%
Third day a 10% chance of rain, the complement is 90%
Fourth day a 10% chance of rain, the complement is 90%
Fifth day 5% chance of rain, the complement is 95%
To get the probability of NOT raining in the entire festival is the multiplication of all the complements.
P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19
