Using the mean concept, it is found that the value of the number that was removed was of 4.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
The mean of five numbers is 8, hence, the sum of the numbers is given by:
S = 5 x 8 = 40.
If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:
S = 4 x 9 = 36.
The difference is:
40 - 36 = 4.
Hence, the value of the number that was removed was of 4.
More can be learned about the mean concept at brainly.com/question/25122507
#SPJ1
Answer:
- reflection over the y-axis;
- dilation with a scale factor of 0.4;
- translation 8 units left and 8 units up
Step-by-step explanation:
<h3>Reflection</h3>
The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) <em>right</em> of the y-axis will be transformed to a point 3 untis <em>left</em> of the y-axis. It is reflected across the y-axis.
__
<h3>Dilation</h3>
The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.
__
<h3>Translation</h3>
The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.
Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.
Don't you have a calculator? Just add those two numbers.
While adding 52 and 99 , It becomes 151
1. A) 0 (I’m not totally sure since there are two of the same thing, but with different answers.)
2. (Not sure)
3. C) 3
4. A) 6
5. A) 4
6. C) 4 (I’m pretty sure it’s 4 if it’s in the way I think it should be in to get 4.)
7. C) 4
8. A) 0
(I tried my best, I’m probably wrong, because I don’t exactly know how to do logarithms yet. Sorry if I got some wrong.)
Answer: There were 20 cars and 10 motorcycle in the garbage.
Step-by-step explanation:
Let x represents the total number of cars and y represents the total number of bikes initially.
Since, Mr. Rich had 2 times more cars than motorcycles in his garage.
Therefore, x = 2y ---------(1)
And, After he bought 1 more car and sold 2 motorcycles, there were 3 times more cars than motorcycles.
Therefore, x+1 = 3(y-3)
⇒x + 1 = 3y - 9
⇒3y - x = 10 ------------(2)
put the value of x from equation (1) to equation (2)
We get, y = 10
Thus again from equation (1), x = 2 × 10 = 20
Therefore,There were 20 cars and 10 motorcycles in the garage.