Answer:
The confidence interval is ![22.805](https://tex.z-dn.net/?f=22.805%3C%5Cmu%3C24.575)
Step-by-step explanation:
We have given,
The Z interval (23.305,25.075)
Mean ![\bar{x}=23.69](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D23.69)
Sample n=30
To find : The confidence interval?
Solution :
We know, The confidence interval is in the format of
![\bar{x}-E](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D-E%3C%5Cmu%3C%5Cbar%7Bx%7D%2BE)
E denotes the margin of error,
![E=\frac{U-L}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BU-L%7D%7B2%7D)
Where, U is the upper limit U=25.075
L is the lower limit L=23.305
![E=\frac{25.075-23.305}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B25.075-23.305%7D%7B2%7D)
![E=\frac{1.77}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1.77%7D%7B2%7D)
![E=0.885](https://tex.z-dn.net/?f=E%3D0.885)
Substitute the value of E and
in the formula,
![23.69-0.885](https://tex.z-dn.net/?f=23.69-0.885%3C%5Cmu%3C23.69%2B0.885)
![22.805](https://tex.z-dn.net/?f=22.805%3C%5Cmu%3C24.575)
Therefore, The confidence interval is ![22.805](https://tex.z-dn.net/?f=22.805%3C%5Cmu%3C24.575)
Arc length is figured by the following formula theta/360 x 2pi(r) input the knowns 30/360x2pi(20)=11.52 miles
maple syrup = x
corn syrup = 50-x
6x + 0.8(50-x)=2.36*50
6x+40-0.8x=118
5,2x=78
x= 15 gallons of maple syrup
50-15 = 35 gallons of corn syrup
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Answer:
C. 13
Step-by-step explanation: