The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
According to the question,
Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.
First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.
Mean: 10*3 = 30
Standard deviation: 5*3 = 15
Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.
Applying change of origin in the above mean and standard deviation
Mean: 30 - 4 = 26
Standard deviation: Remains same = 15
Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
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Answer:
5x-3
Step-by-step explanation:
2x+3(x)+3(-1)= 2x+3x-3
5x-3
Based on the simple interest amount he could be making, and the rate of investment, Tyrell's additional interest per month is $1,000.
<h3>How much is Tyrell paying in additional interest?</h3>
Assuming the additional interest that Tyrell is paying is x, the following formula can be used:
300 = (x × 2.5%) x 12 months
Solving gives:
300 = 0.025x × 12
0.025x = 300/12
x = 25 / 0.025
x = $1,000
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Answer:
3
Step-by-step explanation:
I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.
In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.
Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.
Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.
That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.
Hope this helps :)
The unit numbers can be 2,4,6.Suppose 2 as the unit number we can form 20 numbers the same way for 4 and 6 so totally 60 numbers.
