Let's figure this out as though we have no idea what the answer would be.
Step One
Find the new five numbers.
3*3, 8*3, 12*3, 17*3, 25*3
9 , 24 , 36, 51, 75
Step 2
Find the average
(9 + 24 + 36 + 51 + 75)/5 = 195/5 = 39
Step 3
Subtract the individual numbers from the average
(39 - 9) = 30
(39 -24) = 15
(39 - 36) = 3
(39 - 51) = - 12
(39 - 75) = -36
Step 4
Square the results from Step 3
30^2 = 900
15^2 = 225
3^2 = 9
(-12)^2 = 144
(-36)^2 = 1296
Step 5
Take the average of the results from step 4
(900 + 225 + 9 + 144 + 1296)/5
2574 / 5 = 514.8
Step 6
Take the square root of the result from step 5
deviation = sqrt(514.8)
deviation = 22.689
Step seven
Compare the two standard deviations.
s2/s1 = 22.689 / 7.563 = 3
Conclusion
If you are given 1 set of numbers to find a population standard deviation and you multiply each member by a, then the result will be a * the standard population deviation of the first set of numbers.
Note
Your calculator will do this as well, but you have to know how to enter the data into your calculator. That requires that you follow the directions carefully.
Answer:The given system of equations has no solution
Explanation:The first given equation is:
2y + 5x = 10
This can be rewritten as:
2y = 10 - 5x ...............> equation I
The second given equation is:
4y + 10x = 2
This can be rewritten as:
2(2y) + 10x = 2 ................> equation II
Substitute with I in II and solve as follows:
2(2y) + 10x = 2
2(10-5x) + 10x = 2
20 - 10x + 10x = 2
20 = 2
Since this is impossible, therefore, the system of equations has no solutions. This means that there is no (x,y) point that would satisfy both equations.
Graphing check:The attached image shows the graphs of the two given functions. We can note that the two lines are parallel each with slope -5/2, which means that they NEVER intersect.
Hence, there is no solution for the given system.
Hope this helps :)
LOL...it took me a few seconds to realize what you were attempting to express...which is the fifth root of 13 cubed...
(13^3)^(1/5) rule: (a^b)^c=a^(b*c)
13^(3*1/5)
13^(3/5)
Answer:
On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down
Step-by-step explanation:
The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.
The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.
A point in the coordinate plane is represented as (x, y).
The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down
Answer: I pushed the wrong button on my computer I apologize.
Step-by-step explanation: That's the best I got.