The data is already sorted for us. The median of this set is the middle most value which is 7 (in slot 4; three values to the left and three values to the right).
So the median is originally 7
If we add 5 to each data value we get
3+5 = 8
4+5 = 9
6+5 = 11
7+5 = 12
9+5 = 14
9+5 = 14
11+5 = 16
So the old data set
{3,4,6,7,9,9,11}
shifts to
{8,9,11,12,14,14,16}
after we add 5 to each value
The middle most value of the updated set is 12. It corresponds exactly to the old median of 7.
So we technically didn't even need to add 5 to all of the values to see what the new median would be. We simply need to add 5 to the old median to get the new median
I.e,
(new median) = (old median) + 5
Answer:
x= 0
Step-by-step explanation:
Here in this question, we are given a linear equation of single variable x, and we have to solve the equation for x.
The given equation is 9x -7= -7 ....... (1)
Now, taking all the constant terms to the right side of the equation and all the x terms to the left side of the equation.
Hence, the equation becomes
9x = -7 +7
⇒ 9x =0 {Since, -7 and 7 cancels each other}
⇒ x= 0/9= 0 (Answer) {Since zero divided by any number is equal to zero}
I can't draw and upload it, but I can describe it. There are different ways you could make it, here's one: a rectangle divided into 8 equal parts, so it would be made up of 8 smaller equal rectangles either aligned top to bottom or left to right. Five of the rectangles contain hearts and three contain stars.
Answer:
120 gallons per hour.
Step-by-step explanation:
Between 1:30 P.M. and 1:50 P.M., 40 gallons of water leaked into a boat.
We know, the (1: 50 P.M. - 1: 30 P.M.) = 20 minutes.
So, the time span is of 20 minutes and the amount of water leaked into is 40 gallons.
Therefore, the amount of water that will leak into the boat in 60 minutes is gallons.
So, the rate in gallons per hour of the leaking water is 120 gallons per hour. (Answer)