Answer:16 is x
Step-by-step explanation:
this is a equilateral triangle witch means the sides are the same. 3x is more than 2x so they put - 8 to get to 2 x and 8 times 2 is 16 and there you go.
<span>john asserted that his dog had went out to find food earlier this morning.</span>
First part: 1 is less than the sum of x and 3: 1 < x+3.
Second part: the sum of x and 3 is less than 9.
Obviously 1 < 9.
Taking another look at 1<x+3, we can solve for x: -2<x. Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides. Then x<6.
Draw a dashed vertical line thru x=6.
Shade the area between these two vertical lines to obtain the desired graph.
Answer:
-1 =v
Step-by-step explanation:
3 = -2v − v
Combine like terms
3 = -3v
Divide each side by -3
3/-3 = -3v/-3
-1 =v
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.
Learn more about Mean and standard deviation here
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