Jenny has finished 15 of the 20 lessons in her piano book liam has finished the same percent of lessons from his piano book hi b
2 answers:
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<h3>Answer: 2.8</h3>
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Explanation:
Multiply each visit count with their corresponding frequency.
Examples:
- 0*12 = 0 for the first row.
- 1*366 = 366 for the second row
- 2*53 = 106 for the third row
and so on...
I recommend making a third column like this
That way you can keep track of all the results in an organized way.
Then add everything in the third column
0+366+106+156+620+1215 = 2463
Divide this sum over the total frequency (12+366+53+52+155+243 = 881) and we'll get the mean
2463/881 = 2.7956867
Rounding to one decimal place gets us to 2.8 as the final answer.
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The much longer way to do this is to imagine 12 copies of "0", 366 copies of "1", 53 copies of "2", and so on. We'll have an extremely large data set of 881 items inside it. As you can see, this second method is definitely not recommended to actually carry out. Rather it's helpful to have this as a thought experiment to see why we revert to multiplication instead.
Eg: Imagine adding 155 copies of "4". A shortcut is to simply say 4*155 = 620
Answer:
Step-by-step explanation:
a = 2, b = 1, c = -3
We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.
a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):
Group the first 2 terms together and the second 2 term together in order to factor:
and factor out what's common in each set of parenthesis.
Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:
That matches your first choice
Answer:
6.24%
Step-by-step explanation:
The first step is to determine how much stock is owned when there are 48 million outstanding stock
x 48 million = 0.9984 million
So, i own 0.9984 million shares.
If there are 16 million outstanding stock
(0.9984 / 16 million ) x 100 = 6.24%