Since the range of the scores given was between 300 and 700 (which is 2 standard deviations below and above the mean), the probability that a randomly selected student's math score - as based on the empirical rule of statistics - is 95%. In decimal form, it is .95.
Answer:
225.5
Step-by-step explanation:
So, you would start by doing
220 times 2.5% that would equal 5.5
Then you would add
220 + 5.5 = 225.5
Therefore your answer will be 225.5
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: 
Step-by-step explanation:
Here, the vertical space between two consecutive stairs in first 10 stairs = 
⇒ The total vertical distance for 10 stairs = 
Also, The vertical space between two consecutive stairs for last 5 stairs = 
⇒ The total vertical distance for 10 stairs = 
Thus, The total vertical distance = Total vertical space for the first 10 stairs + Total vertical space for the last 5 stairs
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