Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer: -467
I sure but not so sure but hoped it helped
Step-by-step explanation:
It’s decrease by 8 so do the formula
an= a + d(n−1).
Answer:
26.75
Step-by-step explanation:
There are two ways to do this. You can use the base*height/2 formula for the area of the triangle, or use the complex formula of determining triangle area without height.
The first is A=(b*h)/2
In this case you need to find the height using a²+b²=c²
Take your base (7.6) and divide it by 2 this will give you the bottom side of your triangle (3.8) now plug this, and the side value of 8 into the formula. Remember c is the hypotenuse (diagonal side) and x is the height.
3.8²+x²=8²
14.44+x²=64
x²=49.56
x=7.039 -now you have the height for the triangle and can use this to find the area
A=b*h (in this case we dont have to divide by two since we need two triangles because we split the original in two to find the base of 3.8)
so it's 3.8*7.039=26.75
(If you need more help look up Silicon Valley High school's video titled, "How to find the area of a triangle (without the height)"
It will teach you the formula
which teaches you to find the area of any triangle when all you are given is three sides
Yes, the simplified fraction would 423/500
Answer:
0
Step-by-step explanation: