Answer:
8190 ways
Step-by-step explanation:
Given


Selection


Required
Number of ways of selection
4 students can be selected from 15 students in:

Similarly.
5 teachers can be selected from 6 teachers in:

So, the required number of selection is:

Apply combination formula:







Answer:
Y Intercept: 0, 2.5
X Intercept: 3.5, 0
Explanation:
An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.
Also when writing coordinates, the x coordinate comes before the y one.
Hope this helps :)
Answer:
Option A is correct.
Step-by-step explanation:
As we see the graph, we can say that the correct statement is :
A.)All repairs requiring 1 hour or less have the same labor cost. We can see that the coat from 0 hours to 1 hour is $50. So, the number of hours falling in this range has the same repairing cost.
B.) Labor costs the same no matter how many hours are used for a repair. This is wrong as the graph is increasing after 1 hour.
C.) Labor costs for a repair are more expensive as the number of hours increases. This is wrong as the hours are increasing from 0.25 to 0.5 then to 0.75 but they all have the same cost.
D.)There is no cost of labor for a repair requiring less than 1 hour. This is also wrong. The cost is $50.
This is the concept of algebra, the solution of the given expression will be given as follows;
-5x+2x²=-6x
adding 5x on both sides we get
5x-5x+2x²=-6x+5x
2x²=-x
divide both sides by 2
(2x²)/2=-x/2
x²=-x/2
divide both sides by x
(x²)/x=-x/(2x)
x=-1/2
the answer is x=-1/2
Answer:
(a) So the top of the hill is 365 feet above sea level.
(b) Checkpoint 5 is 185 feet higher than checkpoint 2.
Step-by-step explanation:
<u>Solution for (a):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
The top of a hill rises 583 feet above Checkpoint 2.
The altitude of the top of the hill = -218 + 583 = 365
So the top of the hill is 365 feet above sea level.
<u>Solution for (b):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
Checkpoint 5 is -33 feet above sea level.
Checkpoint 5 is -33 - -218 = 185 feet higher than checkpoint 2.