Answer: 8x⁴ + 3x³ -3x² + 7x
Answer:
11. It will take about 26 minutes to install a singular tile.
12. It will take about 10 more minutes to install a light than it does to install a cable.
Step-by-step explanation:
11. Since installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time, you can divide the total amount of time by the number of tiles.
390/15= 26 minutes
It will take about 26 minutes to install a single tile.
12. By looking at the chart it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.
22-12= 10 minutes
It takes about 10 minutes longer to install a light than it does a cable.
Answer:
5.1
Step-by-step explanation:
Given that:
sample size n = 4
the mean of the original population μ is = 35
and the mean for the sample after treatment M is = 40.1
standard deviation of the sample SS = 48
The difference between the mean for the treated sample and the mean for the original population is therefore calculated as: M - μ
= 40.1 - 35
= 5.1
The standard error of M is = 
The standard error of M is = 
The standard error of M is = 
The standard error of M is = 
The standard error of M is = 24
Vertex of the polygon is (161, -329)
The new vertex is shifted 168 units to the right. A horizontal shift can be achieved be adding or subtracting the number from the x-coordinate. A change in the y coordinate brings the vertical shift. So in this case the x-component will change only and y component will be the same.
A shift towards right means, the value of x component is increase as x gets larger as we move towards right on the graph. So moving 168 units to the right, we will get the following vertex (329 , -329)
Thus, the new vertex of the polygon will be at the point (329, -329)