Answer:
Standard Deviation = 5.928
Step-by-step explanation:
a) Data:
Days Hours spent (Mean - Hour)²
1 5 61.356
2 7 34.024
3 11 3.360
4 14 1.362
5 18 26.698
6 22 84.034
6 days 77 hours, 210.834
mean
77/6 = 12.833 and 210.83/6 = 35.139
Therefore, the square root of 35.139 = 5.928
b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.
N+1-3n=5+n+1-2
Simplify it
-2n+1 = n+4
Add 2n to both sides
1 = 3n+4
Subtract 4 from both sides
-3 = 3n
Divide by 3
n = -1
Answer:
(3, 2)
Step-by-step explanation:
To be considered part of a solution set for the inequality provided, a given point must lie within the shaded region that is graphed. Since we want to find the point that is <em>not</em> included in the solution set for the inequality, we need to find the point that does <em>not</em> lie in the shaded region.
Let's test each point to see which doesn't lie in the region. Refer to the image below if you're having trouble graphing the points:
- (0, 6): This point lies in the shaded region, so it is not our answer.
- (1, 5): This point lies in the shaded region, so it is not our answer.
- (2, 4): This point lies in the shaded region, so it is not our answer.
- <u>(3, 2): This point </u><u><em>does not</em></u><u> lie in the shaded region, so it is our answer.</u>
<u></u>
Hope this helps!
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula
, where
is the hypotenuse leg and
and
are the other sides. So we can plug the numbers in to the formula:

Now we get the squares of 5 and 10:

Add 25 and 100:

Take the square root from both sides:

The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!